In this paper, we construct the E·B estimation for parameter function of one-side truncated distribution under NA samples. Also, we obtain its convergence rate at O(n-q), where q is approaching 1/2.
In this paper, a comparative study of the XRD characterization and FTIR spectroscopic behavior of some M^ILn^IIITiO4 phases with M^I： Na, H, K and Ln^III, the trivalent lanthanides elements： Sm, Eu, Er and Yb is rep...In this paper, a comparative study of the XRD characterization and FTIR spectroscopic behavior of some M^ILn^IIITiO4 phases with M^I： Na, H, K and Ln^III, the trivalent lanthanides elements： Sm, Eu, Er and Yb is reported. The H and K- oxides were obtained by ion-exchange from NaLnTiO4. These ternary oxides belong to the K2NiF4 structural type, with the M^I and Ln^III cations distributed in an ordered way on the K-sub lattice. The FTIR spectra of the materials were analyzed by comparison with structurally related materials. A close relationship with the parent NaLnTiO4 was found.展开更多
By the well-known large and small blocks parting method for dependent situations, we establish the asymptotic normality of the Empirical Distribution Function under Negatively Associated Sequences. As its application ...By the well-known large and small blocks parting method for dependent situations, we establish the asymptotic normality of the Empirical Distribution Function under Negatively Associated Sequences. As its application in reliablity problems, a natural estimate Fn（x） for the survival function F（x） = P（X 〉 x） is proposed, and the asymptotic normality of n^1/2 [Fn（x） - F（x）] is established.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
Consider a sequence of negatively associated and identically distributed random variableswith the underlying distribution in the domain of attraction of a stable distribution with an exponentin(0,2).A Chover's law...Consider a sequence of negatively associated and identically distributed random variableswith the underlying distribution in the domain of attraction of a stable distribution with an exponentin(0,2).A Chover's law of the iterated logarithm is established for negatively associated randomvariables.Our results generalize and improve those on Chover's law of the iterated logarithm(LIL)type behavior previously obtained by Mikosch(1984),Vasudeva(1984),and Qi and Cheng(1996)fromthe i.i.d,case to NA sequences.展开更多
文摘In this paper, we construct the E·B estimation for parameter function of one-side truncated distribution under NA samples. Also, we obtain its convergence rate at O(n-q), where q is approaching 1/2.
文摘In this paper, a comparative study of the XRD characterization and FTIR spectroscopic behavior of some M^ILn^IIITiO4 phases with M^I： Na, H, K and Ln^III, the trivalent lanthanides elements： Sm, Eu, Er and Yb is reported. The H and K- oxides were obtained by ion-exchange from NaLnTiO4. These ternary oxides belong to the K2NiF4 structural type, with the M^I and Ln^III cations distributed in an ordered way on the K-sub lattice. The FTIR spectra of the materials were analyzed by comparison with structurally related materials. A close relationship with the parent NaLnTiO4 was found.
基金the National Natural Science Foundation of China (10161004)the Natural Science Foundation of Jiangxi (0611068)Science Foundation of Shangrao Normal Gollege.
文摘By the well-known large and small blocks parting method for dependent situations, we establish the asymptotic normality of the Empirical Distribution Function under Negatively Associated Sequences. As its application in reliablity problems, a natural estimate Fn（x） for the survival function F（x） = P（X 〉 x） is proposed, and the asymptotic normality of n^1/2 [Fn（x） - F（x）] is established.
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.
基金supported by the National Natural Science Foundation of China under Grant No.10661006the Support Program of the New Century Guangxi China Ten-Hundred-Thousand Talents Project under Grant No.2005214the Guangxi, China Science Foundation under Grant No.2010GXNSFA013120
文摘Consider a sequence of negatively associated and identically distributed random variableswith the underlying distribution in the domain of attraction of a stable distribution with an exponentin(0,2).A Chover's law of the iterated logarithm is established for negatively associated randomvariables.Our results generalize and improve those on Chover's law of the iterated logarithm(LIL)type behavior previously obtained by Mikosch(1984),Vasudeva(1984),and Qi and Cheng(1996)fromthe i.i.d,case to NA sequences.
