“The Law of Life”is one of Jack London’s representative works,depicting the story of an elderly Native American abandoned by his family,alone and waiting for life to fade away.This paper,based on narrative theory,a...“The Law of Life”is one of Jack London’s representative works,depicting the story of an elderly Native American abandoned by his family,alone and waiting for life to fade away.This paper,based on narrative theory,aims to explore how the author employs narrative techniques to present the image of the old man in the short story.The narrative techniques of dual focalization and dual narrative timelines in the text demonstrate the abandonment of the old man’s homeland and his inescapable death under a naturalistic view of life and reflect a desolate life picture of resignation towards death under naturalistic determinism,depicting a grim elderly world under the naturalistic concept of“survival of the fittest.”Studying this short story helps us reflect on the living conditions of the elderly and provides insights into how to better care for the elderly population amid the global trend of aging.展开更多
Consider the positive d-dimensional lattice Z^d(d≥2) with partial ordering ≤, let {XK; K∈Z+^d} be i.i.d, random variables taking values in a real separable Hilbert space (H, ||·||) with mean zero and ...Consider the positive d-dimensional lattice Z^d(d≥2) with partial ordering ≤, let {XK; K∈Z+^d} be i.i.d, random variables taking values in a real separable Hilbert space (H, ||·||) with mean zero and covariance operator ∑ and set partial sums SN =∑K≤nXK,K,N∈Z+^d. Under some moment conditions, we obtain the precise asymptotics of a kind of weighted infinite series for partial sums SN as ε↓ by using the truncation and approximation methods. The results are related to the convergence rates of the law of the logarithm in Hilbert space, and they also extend the results of (Gut and Spataru, 2003).展开更多
The research on Trilingual Teaching Model in ethnic areas has become a hot spot.By analyzing the data of the questionnaire,this paper discusses the teachers’instructional intervention model,based on the law of mother...The research on Trilingual Teaching Model in ethnic areas has become a hot spot.By analyzing the data of the questionnaire,this paper discusses the teachers’instructional intervention model,based on the law of mother tongue acquisition.Trilingual teachers should highlight the role of reading in vocabulary learning and even in improving reading ability.The law of mother tongue acquisition can be one of the main strategies to solve the problems in Tibetan students’English learning.展开更多
The Law on the Protection of Women’s Rights and interests has been amended twice since it was promulgated 1992,and it has formed a relatively complete legislation system together with relevant laws and regulations,ac...The Law on the Protection of Women’s Rights and interests has been amended twice since it was promulgated 1992,and it has formed a relatively complete legislation system together with relevant laws and regulations,accumulating experience of judicial application in practice.In the current proposed amendment of the Law on the Protection of Women’s Rights and interests,the main issues that should be considered are:First,the legislative purpose of this law should be reviewed to clarify the three legislative positions of the Law on Women’s Rights and interests,in terms of protection,practice and foundation.Second,it is necessary to grasp whether the text content is appropriate and rectify any defects in the existing text.Third,it should explore how to reform and implement specific systems from the micro perspective to improve the specific systems of women’s personal,property,and social rights and interests.Fourth,it should strengthen the systematic interaction with other norms at different levels and implement the principle of gender equality stipulated in the Constitution of the People’s Republic of China.Fifth,attention should be paid to the necessity of invoking the Law in judicial practice,the possibility of operation and the effectiveness of enforcement.The proposed amendment of the Law on the Protection of Women’s Rights and interests should also sum up the experience of local legislation and judicial decisions and improve the quality of judicial application of the law so that is truly responds to the practical needs and challenges of the protection of women’s rights and interests and the implementation of gender equality in the new era.展开更多
According to the law of mass action and the coexistence theory of slag structure, the distribution of manganese between MnO FeO SiO 2 and MgO MnO FeO SiO 2 slag melts as well as liquid iron was analyzed. It is shown t...According to the law of mass action and the coexistence theory of slag structure, the distribution of manganese between MnO FeO SiO 2 and MgO MnO FeO SiO 2 slag melts as well as liquid iron was analyzed. It is shown that K ′ Mn and K MnO are only dependent on temperature and don’t change with basicities and compositions of slag melts. So the distribution of manganese between the above mentioned slag melts and molten iron obeys the law of mass action. But analysis of experimental results from other sources shows that K ′ Mn and K MnO really change with basicities of slag, which is probably arisen from not approaching equilibrium under low basicity slag melts.展开更多
As the international community place high value on the ocean,protecting the marine environment and promoting the sustainable development of the ocean have become the consensus of all countries around the world.Integra...As the international community place high value on the ocean,protecting the marine environment and promoting the sustainable development of the ocean have become the consensus of all countries around the world.Integrated ocean management,as an important part of the ocean governance mechanism within the framework of the United Nations,have approached to the scene view of human gradually.Taking the United Nations Convention on the Law of the Sea as the framework,the current international integrated ocean management is summarized and the future development trend of ocean management is analyzed,providing reference for China to build a maritime power and a maritime community with shared future.展开更多
The 1997 United Nations Convention on the Law of the Non-navigational Uses of International Watercourses (UNWC) contains a negotiation framework for transboundary water rights. However, it is a subjective document ope...The 1997 United Nations Convention on the Law of the Non-navigational Uses of International Watercourses (UNWC) contains a negotiation framework for transboundary water rights. However, it is a subjective document open to a wide range of possibilities and interpretations. Water Rights Allocations (WRAs) as described by Dinar and Nigatu (2013) and Dinar and Tsur (2017) provide a limited number of quantifiable allocation possibilities based on the UNWC. It is suggested that this methodology streamlines the negotiation process and reduces the effects of hydro hegemony. These methodologies are explored and applied through a case study on the Orontes River Basin.展开更多
This study is seeking an answer as to whether the efficient state and the state under the rule of law are indeed irreconcilable, as well as to whether these two categories are by nature to be seen as contrary concepts...This study is seeking an answer as to whether the efficient state and the state under the rule of law are indeed irreconcilable, as well as to whether these two categories are by nature to be seen as contrary concepts. The basic issue is whether efficiency is to be handled as an "extralegal" category, or whether legal regulation, in accordance with public administration traditions in Europe, can in itself meet the requirement of efficiency. Also the study presents the formation of the issue of conflict between the effective state and the state under the rule of law in Hungary after the election held in 2010 in the practice of economic policy and legislation of the Orban government. We are trying to answer the question of the tendency of power concentration to really menace the principles of a traditionally-formed state under the rule of law, as well as whether the economic policy of the government can be implemented effectively in a strongly centralized political and state administrative system.展开更多
The archipelagic waters system is stipulated in the United Nations Convention on the Law of the Sea. It is closely related to China's marine legislation and maritime law enforcement. It is not only related to the int...The archipelagic waters system is stipulated in the United Nations Convention on the Law of the Sea. It is closely related to China's marine legislation and maritime law enforcement. It is not only related to the integrity of our country's national sovereignty, but also to the maintenance of our maritime rights and interests. However, there is no comprehensive fundamental law governing the overall situation of marine development in our country, also no relevant legal code on the archipelagic waters system. Therefore, we should learn from the world's marine legislation and practice which the archipelagic waters system was written into China's marine legislation.展开更多
The present paper seeks to shed light on the main factors lying behind the non-implementation of Article 20 of the New Moroccan Family Law reformed in 2004 which is concerned with legal minimum age of marriage for bot...The present paper seeks to shed light on the main factors lying behind the non-implementation of Article 20 of the New Moroccan Family Law reformed in 2004 which is concerned with legal minimum age of marriage for both sexes, 18 years old for both. This study aims at investigating why the number of marriages of young girls continue to increase despite the establishment of the Law. The author takes the region of Fez as a case in point to explore this social behavior in Moroccan society. A qualitative approach has been adopted by interviewing 10 persons including Family Affairs Judges, lawyers and University Professors of Islamic studies at the University of Fez. Added to this, the technique of observation has equally been utilized to have everyday life concrete experiences of young girls "marriages". It has been argued that a unilateral approach to this social phenomenon cannot succeed to understand the complex nature of this bad social habit that is still predominant among rural areas and marginalized urban districts. A rather global approach taking into account the economic, socio-cultural, and legal dimension of the issue under investigation proves to be much more adequate to explore the intricate nature of this problems in which a number of diverse variables interact. The paper ends up with a conclusion and a number of recommendations on how to reduce this social act.展开更多
I. A Review of China's Judicial Protection for Human Rights To effectively protect human rights, a country needs to specify in its laws a complete series of basic rights its citizens shall enjoy. Meanwhile, the lega...I. A Review of China's Judicial Protection for Human Rights To effectively protect human rights, a country needs to specify in its laws a complete series of basic rights its citizens shall enjoy. Meanwhile, the legal rights for an individual citizen would be meaningless even though such rights are prescribed in laws if, when the person's rights are infringed upon, he or she has no access to judicial relief. Administration of justice is the last resort, in fact the most effective, means.展开更多
Microbubbles can enhance the detection in noninvasive ultrasound imaging.Recently,targeted microbubbles have been developed to selectively adhere to specific and overexpressed p molecules in endothelial cells in some ...Microbubbles can enhance the detection in noninvasive ultrasound imaging.Recently,targeted microbubbles have been developed to selectively adhere to specific and overexpressed p molecules in endothelial cells in some pathologic conditions.However,the law of展开更多
The leaders of the Meiji Restoration believed in their master, Yoshida Shoin (吉田松陰), who claimed that in order for the islands of Japan not to be a colony of the powerful Western states, Japan had to conquer nea...The leaders of the Meiji Restoration believed in their master, Yoshida Shoin (吉田松陰), who claimed that in order for the islands of Japan not to be a colony of the powerful Western states, Japan had to conquer nearby countries. This led to Japan’s invasion of the Ryukyu Islands, Taiwan, Korea, and Manchuria, which ultimately led to the Manchurian Incident of 1931, the Sino-Japanese War, and the Pacific War. Surprisingly, the subject and the timing of each and every one of these acts of war were in the same order of Yoshida Shoin’s proposal on preoccupancy. The Sino-Japanese war of 1894 was romanticized as clearing the barbaric culture by civilization, and the Russo-Japanese war of 1904 was romanticized as the realization of Eastern Peace. However, Japanese policies of aggressions were first deemed illegal by international law during the 1931 Manchurian Incident by the investigations of the League of Nations. The Japanese Empire received the recommendation by the League of Nations to restore to original state, but declined and exited from the League of Nations. Following their exit, they started the Sino-Japanese War and the Pacific War and eventually lost in 1945. The goal of the San Francisco Peace Treaty of 1951 was to punish Japan’s aggressions. However, as the Cold War between the East and the West started to arise in 1948, the punishment was eased, and their punishment for the aggressions on the Ryukyu Islands, Taiwan, and Korea was nearly unasked for. This paper examines the issues of the San Francisco Peace Treaty in the views of the international law of the League of Nations, established by Manley O. Hudson of Harvard University and others in U.S. academia and judiciary.展开更多
A notorious economic fugitive who thought he had escaped arrest in a multimillion-dollar fraud case has finally been caught. On April 9, the absconder, identified only by his surname Hu. was extradited to China from G...A notorious economic fugitive who thought he had escaped arrest in a multimillion-dollar fraud case has finally been caught. On April 9, the absconder, identified only by his surname Hu. was extradited to China from Greece under an anti-graft operation. Codenamed Fox Hunt 2015. it hunts down corrupt officials and economic crime suspects who have fled the country, and recovers stolen assets. Hu was former head of the Quzhou Baitai Group in east China's economically developed Zhejiang Province. In April 2013, he fled to Cyprus with his family and over 40 million yuan ($6,45 million) of illicit money as well as another 4 million yuan ($645.000) of bank loans. The procuratorate of Longyou County in Zhejiang issued an arrest warrant and police began a manhunt for him.展开更多
Inequality persists for people living with HIV/AIDS in China "I AM living with HIV.Could you please give me a smile and a hug?" That’s the wording emblazoned on Yang Kaiyu’s Tshirt as he chats to pedestria...Inequality persists for people living with HIV/AIDS in China "I AM living with HIV.Could you please give me a smile and a hug?" That’s the wording emblazoned on Yang Kaiyu’s Tshirt as he chats to pedestrians on Chengdu City’s busy Chunxu Road and asks if they want to take a photo with him.The Si-展开更多
A new bill that has already gone through its first reading in the Kenyan Parliament makes forced marriages, virginity testing, and forced wife inheritance (marrying a late brother's wife) illegal.
Science, technology and engineering expertise form a treasurehouse of knowledge acquired by man in striving to understand and change nature.They respond respectively to different links of this endless endeavour.So the...Science, technology and engineering expertise form a treasurehouse of knowledge acquired by man in striving to understand and change nature.They respond respectively to different links of this endless endeavour.So they differ greatly from each other but are closely associated.Science refers to various principles, basic theories and concepts summed up from man’s cognition of natural phenomena,exploration of material movements and related objective laws; technology is the applicable methods and practical means developed from scien-展开更多
In this paper, we discuss the moving-average process Xk = ∑i=-∞ ^∞ ai+kεi, where {εi;-∞ 〈 i 〈 ∞} is a doubly infinite sequence of identically distributed ψ-mixing or negatively associated random variables w...In this paper, we discuss the moving-average process Xk = ∑i=-∞ ^∞ ai+kεi, where {εi;-∞ 〈 i 〈 ∞} is a doubly infinite sequence of identically distributed ψ-mixing or negatively associated random variables with mean zeros and finite variances, {ai;-∞ 〈 i 〈 -∞) is an absolutely solutely summable sequence of real numbers.展开更多
Let X, X1, X2,... be i.i.d, random variables with mean zero and positive, finite variance σ^2, and set Sn = X1 +... + Xn, n≥1. The author proves that, if EX^2I{|X|≥t} = 0((log log t)^-1) as t→∞, then for ...Let X, X1, X2,... be i.i.d, random variables with mean zero and positive, finite variance σ^2, and set Sn = X1 +... + Xn, n≥1. The author proves that, if EX^2I{|X|≥t} = 0((log log t)^-1) as t→∞, then for any a〉-1 and b〉 -1,lim ε↑1/√1+a(1/√1+a-ε)b+1 ∑n=1^∞(logn)^a(loglogn)^b/nP{max κ≤n|Sκ|≤√σ^2π^2n/8loglogn(ε+an)}=4/π(1/2(1+a)^3/2)^b+1 Г(b+1),whenever an = o(1/log log n). The author obtains the sufficient and necessary conditions for this kind of results to hold.展开更多
文摘“The Law of Life”is one of Jack London’s representative works,depicting the story of an elderly Native American abandoned by his family,alone and waiting for life to fade away.This paper,based on narrative theory,aims to explore how the author employs narrative techniques to present the image of the old man in the short story.The narrative techniques of dual focalization and dual narrative timelines in the text demonstrate the abandonment of the old man’s homeland and his inescapable death under a naturalistic view of life and reflect a desolate life picture of resignation towards death under naturalistic determinism,depicting a grim elderly world under the naturalistic concept of“survival of the fittest.”Studying this short story helps us reflect on the living conditions of the elderly and provides insights into how to better care for the elderly population amid the global trend of aging.
基金Project (No. 10471126) supported by the National Natural Science Foundation of China
文摘Consider the positive d-dimensional lattice Z^d(d≥2) with partial ordering ≤, let {XK; K∈Z+^d} be i.i.d, random variables taking values in a real separable Hilbert space (H, ||·||) with mean zero and covariance operator ∑ and set partial sums SN =∑K≤nXK,K,N∈Z+^d. Under some moment conditions, we obtain the precise asymptotics of a kind of weighted infinite series for partial sums SN as ε↓ by using the truncation and approximation methods. The results are related to the convergence rates of the law of the logarithm in Hilbert space, and they also extend the results of (Gut and Spataru, 2003).
基金This work is supported by National Social Science Project on Study on the Influencing Factors of the Trilingual Teaching Model in Qinghai Ethnic Areas From a Multicultural Perspective(19BYY223).
文摘The research on Trilingual Teaching Model in ethnic areas has become a hot spot.By analyzing the data of the questionnaire,this paper discusses the teachers’instructional intervention model,based on the law of mother tongue acquisition.Trilingual teachers should highlight the role of reading in vocabulary learning and even in improving reading ability.The law of mother tongue acquisition can be one of the main strategies to solve the problems in Tibetan students’English learning.
文摘The Law on the Protection of Women’s Rights and interests has been amended twice since it was promulgated 1992,and it has formed a relatively complete legislation system together with relevant laws and regulations,accumulating experience of judicial application in practice.In the current proposed amendment of the Law on the Protection of Women’s Rights and interests,the main issues that should be considered are:First,the legislative purpose of this law should be reviewed to clarify the three legislative positions of the Law on Women’s Rights and interests,in terms of protection,practice and foundation.Second,it is necessary to grasp whether the text content is appropriate and rectify any defects in the existing text.Third,it should explore how to reform and implement specific systems from the micro perspective to improve the specific systems of women’s personal,property,and social rights and interests.Fourth,it should strengthen the systematic interaction with other norms at different levels and implement the principle of gender equality stipulated in the Constitution of the People’s Republic of China.Fifth,attention should be paid to the necessity of invoking the Law in judicial practice,the possibility of operation and the effectiveness of enforcement.The proposed amendment of the Law on the Protection of Women’s Rights and interests should also sum up the experience of local legislation and judicial decisions and improve the quality of judicial application of the law so that is truly responds to the practical needs and challenges of the protection of women’s rights and interests and the implementation of gender equality in the new era.
文摘According to the law of mass action and the coexistence theory of slag structure, the distribution of manganese between MnO FeO SiO 2 and MgO MnO FeO SiO 2 slag melts as well as liquid iron was analyzed. It is shown that K ′ Mn and K MnO are only dependent on temperature and don’t change with basicities and compositions of slag melts. So the distribution of manganese between the above mentioned slag melts and molten iron obeys the law of mass action. But analysis of experimental results from other sources shows that K ′ Mn and K MnO really change with basicities of slag, which is probably arisen from not approaching equilibrium under low basicity slag melts.
文摘As the international community place high value on the ocean,protecting the marine environment and promoting the sustainable development of the ocean have become the consensus of all countries around the world.Integrated ocean management,as an important part of the ocean governance mechanism within the framework of the United Nations,have approached to the scene view of human gradually.Taking the United Nations Convention on the Law of the Sea as the framework,the current international integrated ocean management is summarized and the future development trend of ocean management is analyzed,providing reference for China to build a maritime power and a maritime community with shared future.
文摘The 1997 United Nations Convention on the Law of the Non-navigational Uses of International Watercourses (UNWC) contains a negotiation framework for transboundary water rights. However, it is a subjective document open to a wide range of possibilities and interpretations. Water Rights Allocations (WRAs) as described by Dinar and Nigatu (2013) and Dinar and Tsur (2017) provide a limited number of quantifiable allocation possibilities based on the UNWC. It is suggested that this methodology streamlines the negotiation process and reduces the effects of hydro hegemony. These methodologies are explored and applied through a case study on the Orontes River Basin.
文摘This study is seeking an answer as to whether the efficient state and the state under the rule of law are indeed irreconcilable, as well as to whether these two categories are by nature to be seen as contrary concepts. The basic issue is whether efficiency is to be handled as an "extralegal" category, or whether legal regulation, in accordance with public administration traditions in Europe, can in itself meet the requirement of efficiency. Also the study presents the formation of the issue of conflict between the effective state and the state under the rule of law in Hungary after the election held in 2010 in the practice of economic policy and legislation of the Orban government. We are trying to answer the question of the tendency of power concentration to really menace the principles of a traditionally-formed state under the rule of law, as well as whether the economic policy of the government can be implemented effectively in a strongly centralized political and state administrative system.
文摘The archipelagic waters system is stipulated in the United Nations Convention on the Law of the Sea. It is closely related to China's marine legislation and maritime law enforcement. It is not only related to the integrity of our country's national sovereignty, but also to the maintenance of our maritime rights and interests. However, there is no comprehensive fundamental law governing the overall situation of marine development in our country, also no relevant legal code on the archipelagic waters system. Therefore, we should learn from the world's marine legislation and practice which the archipelagic waters system was written into China's marine legislation.
文摘The present paper seeks to shed light on the main factors lying behind the non-implementation of Article 20 of the New Moroccan Family Law reformed in 2004 which is concerned with legal minimum age of marriage for both sexes, 18 years old for both. This study aims at investigating why the number of marriages of young girls continue to increase despite the establishment of the Law. The author takes the region of Fez as a case in point to explore this social behavior in Moroccan society. A qualitative approach has been adopted by interviewing 10 persons including Family Affairs Judges, lawyers and University Professors of Islamic studies at the University of Fez. Added to this, the technique of observation has equally been utilized to have everyday life concrete experiences of young girls "marriages". It has been argued that a unilateral approach to this social phenomenon cannot succeed to understand the complex nature of this bad social habit that is still predominant among rural areas and marginalized urban districts. A rather global approach taking into account the economic, socio-cultural, and legal dimension of the issue under investigation proves to be much more adequate to explore the intricate nature of this problems in which a number of diverse variables interact. The paper ends up with a conclusion and a number of recommendations on how to reduce this social act.
文摘I. A Review of China's Judicial Protection for Human Rights To effectively protect human rights, a country needs to specify in its laws a complete series of basic rights its citizens shall enjoy. Meanwhile, the legal rights for an individual citizen would be meaningless even though such rights are prescribed in laws if, when the person's rights are infringed upon, he or she has no access to judicial relief. Administration of justice is the last resort, in fact the most effective, means.
基金supported by National Natural Science Foundation of China,No.30700151
文摘Microbubbles can enhance the detection in noninvasive ultrasound imaging.Recently,targeted microbubbles have been developed to selectively adhere to specific and overexpressed p molecules in endothelial cells in some pathologic conditions.However,the law of
文摘The leaders of the Meiji Restoration believed in their master, Yoshida Shoin (吉田松陰), who claimed that in order for the islands of Japan not to be a colony of the powerful Western states, Japan had to conquer nearby countries. This led to Japan’s invasion of the Ryukyu Islands, Taiwan, Korea, and Manchuria, which ultimately led to the Manchurian Incident of 1931, the Sino-Japanese War, and the Pacific War. Surprisingly, the subject and the timing of each and every one of these acts of war were in the same order of Yoshida Shoin’s proposal on preoccupancy. The Sino-Japanese war of 1894 was romanticized as clearing the barbaric culture by civilization, and the Russo-Japanese war of 1904 was romanticized as the realization of Eastern Peace. However, Japanese policies of aggressions were first deemed illegal by international law during the 1931 Manchurian Incident by the investigations of the League of Nations. The Japanese Empire received the recommendation by the League of Nations to restore to original state, but declined and exited from the League of Nations. Following their exit, they started the Sino-Japanese War and the Pacific War and eventually lost in 1945. The goal of the San Francisco Peace Treaty of 1951 was to punish Japan’s aggressions. However, as the Cold War between the East and the West started to arise in 1948, the punishment was eased, and their punishment for the aggressions on the Ryukyu Islands, Taiwan, and Korea was nearly unasked for. This paper examines the issues of the San Francisco Peace Treaty in the views of the international law of the League of Nations, established by Manley O. Hudson of Harvard University and others in U.S. academia and judiciary.
文摘A notorious economic fugitive who thought he had escaped arrest in a multimillion-dollar fraud case has finally been caught. On April 9, the absconder, identified only by his surname Hu. was extradited to China from Greece under an anti-graft operation. Codenamed Fox Hunt 2015. it hunts down corrupt officials and economic crime suspects who have fled the country, and recovers stolen assets. Hu was former head of the Quzhou Baitai Group in east China's economically developed Zhejiang Province. In April 2013, he fled to Cyprus with his family and over 40 million yuan ($6,45 million) of illicit money as well as another 4 million yuan ($645.000) of bank loans. The procuratorate of Longyou County in Zhejiang issued an arrest warrant and police began a manhunt for him.
文摘Inequality persists for people living with HIV/AIDS in China "I AM living with HIV.Could you please give me a smile and a hug?" That’s the wording emblazoned on Yang Kaiyu’s Tshirt as he chats to pedestrians on Chengdu City’s busy Chunxu Road and asks if they want to take a photo with him.The Si-
文摘A new bill that has already gone through its first reading in the Kenyan Parliament makes forced marriages, virginity testing, and forced wife inheritance (marrying a late brother's wife) illegal.
文摘Science, technology and engineering expertise form a treasurehouse of knowledge acquired by man in striving to understand and change nature.They respond respectively to different links of this endless endeavour.So they differ greatly from each other but are closely associated.Science refers to various principles, basic theories and concepts summed up from man’s cognition of natural phenomena,exploration of material movements and related objective laws; technology is the applicable methods and practical means developed from scien-
基金Research supported by National Natural Science Foundation of China
文摘In this paper, we discuss the moving-average process Xk = ∑i=-∞ ^∞ ai+kεi, where {εi;-∞ 〈 i 〈 ∞} is a doubly infinite sequence of identically distributed ψ-mixing or negatively associated random variables with mean zeros and finite variances, {ai;-∞ 〈 i 〈 -∞) is an absolutely solutely summable sequence of real numbers.
基金National Natural Science Foundation of China (No.10471126)
文摘Let X, X1, X2,... be i.i.d, random variables with mean zero and positive, finite variance σ^2, and set Sn = X1 +... + Xn, n≥1. The author proves that, if EX^2I{|X|≥t} = 0((log log t)^-1) as t→∞, then for any a〉-1 and b〉 -1,lim ε↑1/√1+a(1/√1+a-ε)b+1 ∑n=1^∞(logn)^a(loglogn)^b/nP{max κ≤n|Sκ|≤√σ^2π^2n/8loglogn(ε+an)}=4/π(1/2(1+a)^3/2)^b+1 Г(b+1),whenever an = o(1/log log n). The author obtains the sufficient and necessary conditions for this kind of results to hold.