On the distribution of random samples from finite populations of random variables

被引：1

作者：

Turkuviene, Jurgita ^{[1
]}

Bikelis, Algimantas ^{[1
]}

机构：

[1] Vilnius State Univ, LT-2600 Vilnius, Lithuania

来源：

ACTA APPLICANDAE MATHEMATICAE | 2007年 / 97卷 / 1-3期

关键词：

finite population; simple random sample; Bernoulli sample; class L; asymptotic expansion; integer base; quasi-lattice distribution;

D O I：

10.1007/s10440-007-9116-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with probability distributions of sums of simple random sample and Bernoulli sample when samples are selected from finite population of independent random variables. Random variables are quasi-lattice. Probability distributions from class L and Poisson distribution are used for approximation. Analogue of Cornish-Fisher transformation is obtained in case of limit distributions from class L.

引用

页码：323 / 334

页数：12

共 15 条

[1] ABRAMOVICH M, 1979, ELEMENTARY ANAL METH, P19
[2] [Anonymous], LITHUANIAN MATH J
[3] ARNDORFFNIELSEN OE, 2001, LEVY PROCESSES THEOR
[4] BERGSTROM H, 1951, SKAND AKTUARIETIDSK, V1, P1
[5] BHATTACHARYA RN, 1986, APPROXIMATION ASYMPT
[6] Bikelis A. J., 1996, P 36 C LITH MATH SOC, P5
[7] Cornish E. A., 1938, Review of the International Statistical Institute, V5, P307, DOI [10.2307/1400905, DOI 10.2307/1400905]
[8] GRIGELIONIS B, 2004, 33 MII
[9] H├a┬ijek J., 1960, PUBL MATH I HUNG, V5, P361
[10] KALININ VM, 1968, LOMI, V13, P5

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