In ancient China, in Xia, Shang and Zhou society, the relationship of subordination between the head of a state and the territories or fiefdoms of the nobles was not equivalent to the administrative relationship betwe...In ancient China, in Xia, Shang and Zhou society, the relationship of subordination between the head of a state and the territories or fiefdoms of the nobles was not equivalent to the administrative relationship between the central government and the localities under the system of prefectures and counties introduced in Qin and Han times. Any theory of state formation based solely on a four-tiered settlement hierarchy is limited; it fails to explain the essential question of whether a state has come into being, and thus cannot be regarded as a criterion for judgment. It is true that in integrating settlement archaeology with social morphology in research on the origins of the ancient state and civilization, we need to classify settlement hierarchies. At the same time, however, we still need to conduct extensive research into the appearance of prehistoric social organizations, hierarchies, strata and classes, as well as the evolution of the nature of power, etc. Therefore, it is the emergence of strata and classes and the establishment of a coercive power that stands over and above society that are the mostcharacteristic indicators of state formation. Further, we can provide archaeological grounds and materialized forms for this approach, which thus possesses operability.展开更多
Let {Xni} be an array of rowwise negatively associated random variables and Tnk=k∑i=1 i^a Xni for a ≥ -1, Snk =∑｜i｜≤k Ф（i/nη）1/nη Xni for η∈（0,1],where Ф is some function. The author studies necessary a...Let {Xni} be an array of rowwise negatively associated random variables and Tnk=k∑i=1 i^a Xni for a ≥ -1, Snk =∑｜i｜≤k Ф（i/nη）1/nη Xni for η∈（0,1],where Ф is some function. The author studies necessary and sufficient conditions of ∞∑n=1 AnP（max 1≤k≤n｜Tnk｜〉εBn）〈∞ and ∞∑n=1 CnP（max 0≤k≤mn｜Snk｜〉εDn）〈∞ for all ε 〉 0, where An, Bn, Cn and Dn are some positive constants, mn ∈ N with mn /nη →∞. The results of Lanzinger and Stadtmfiller in 2003 are extended from the i.i.d, case to the case of the negatively associated, not necessarily identically distributed random variables. Also, the result of Pruss in 2003 on independent variables reduces to a special case of the present paper; furthermore, the necessity part of his result is complemented.展开更多
文摘In ancient China, in Xia, Shang and Zhou society, the relationship of subordination between the head of a state and the territories or fiefdoms of the nobles was not equivalent to the administrative relationship between the central government and the localities under the system of prefectures and counties introduced in Qin and Han times. Any theory of state formation based solely on a four-tiered settlement hierarchy is limited; it fails to explain the essential question of whether a state has come into being, and thus cannot be regarded as a criterion for judgment. It is true that in integrating settlement archaeology with social morphology in research on the origins of the ancient state and civilization, we need to classify settlement hierarchies. At the same time, however, we still need to conduct extensive research into the appearance of prehistoric social organizations, hierarchies, strata and classes, as well as the evolution of the nature of power, etc. Therefore, it is the emergence of strata and classes and the establishment of a coercive power that stands over and above society that are the mostcharacteristic indicators of state formation. Further, we can provide archaeological grounds and materialized forms for this approach, which thus possesses operability.
基金supported by the National Natural Science Foundation of China (No.10871146)the Spanish Ministry of Science and Innovation (No.MTM2008-03129)the Xunta de Galicia,Spain (No.PGIDIT07PXIB300191PR)
文摘Let {Xni} be an array of rowwise negatively associated random variables and Tnk=k∑i=1 i^a Xni for a ≥ -1, Snk =∑｜i｜≤k Ф（i/nη）1/nη Xni for η∈（0,1],where Ф is some function. The author studies necessary and sufficient conditions of ∞∑n=1 AnP（max 1≤k≤n｜Tnk｜〉εBn）〈∞ and ∞∑n=1 CnP（max 0≤k≤mn｜Snk｜〉εDn）〈∞ for all ε 〉 0, where An, Bn, Cn and Dn are some positive constants, mn ∈ N with mn /nη →∞. The results of Lanzinger and Stadtmfiller in 2003 are extended from the i.i.d, case to the case of the negatively associated, not necessarily identically distributed random variables. Also, the result of Pruss in 2003 on independent variables reduces to a special case of the present paper; furthermore, the necessity part of his result is complemented.
