Limit Distributions of Ordered Random Variables in Mixture of Two Gaussian Sequences

被引：0

作者：

Barakat, H. M. ^{[1
]}

Dwes, M. H. ^{[2
]}

机构：

[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt

[2] Alexandria Univ, Fac Sci, Dept Math, Alexandria, Egypt

来源：

JOURNAL OF MATHEMATICS | 2022年 / 2022卷

关键词：

STATISTICS; MAXIMUM; VALUES;

D O I：

10.1155/2022/7956195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the limit distributions of extreme, intermediate, and central order statistics, as well as record values, of the mixture of two stationary Gaussian sequences under equicorrelated setup.

引用

页数：10

共 50 条

[31] ON A CLASS OF LIMIT DISTRIBUTIONS FOR NORMALIZED SUMS OF INDEPENDENT RANDOM VARIABLES
ZINGER, AA
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1965, 10 (04): : 607 - &
[32] LIMIT DISTRIBUTIONS FOR SUMS OF RECIPROCALS OF INDEPENDENT RANDOM-VARIABLES
SHAPIRO, JM
HOUSTON JOURNAL OF MATHEMATICS, 1988, 14 (02): : 281 - 290
[33] LIMIT DISTRIBUTIONS OF MINIMAX OF INDEPENDENT IDENTICALLY DISTRIBUTED RANDOM VARIABLES
CHERNOFF, H
TEICHER, H
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 116 (04) : 474 - &
[34] ON THE LIMIT DISTRIBUTIONS OF SUMS OF MIXING BERNOULLI RANDOM-VARIABLES
DZIUBDZIELA, W
STATISTICS & PROBABILITY LETTERS, 1995, 23 (02) : 179 - 182
[35] CLASS OF LIMIT DISTRIBUTIONS FOR NORMALIZED SUMS OF INDEPENDENT RANDOM VARIABLES
SREEHARI, M
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1970, 15 (02): : 258 - &
[36] A class of strong limit theorems for the sequences of arbitrary random variables
Liu, W
Yang, WG
STATISTICS & PROBABILITY LETTERS, 2003, 64 (02) : 121 - 131
[37] SOME LIMIT THEOREMS FOR SEQUENCES OF PAIRWISE NQD RANDOM VARIABLES
甘师信
陈平炎
ActaMathematicaScientia, 2008, (02) : 269 - 281
[38] Central limit theorems for nonlinear hierarchical sequences of random variables
Wehr, J
Woo, JM
JOURNAL OF STATISTICAL PHYSICS, 2001, 104 (3-4) : 777 - 797
[39] Some limit theorems for sequences of pairwise NQD random variables
Gan Shixin
Chen Pingyan
ACTA MATHEMATICA SCIENTIA, 2008, 28 (02) : 269 - 281
[40] LIMIT THEOREMS FOR SEQUENCES OF BLOCKWISE NEGATIVELY ASSOCIATED RANDOM VARIABLES
Nezakati, A.
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2011, 55 (02) : 315 - 321

← 1 2 3 4 5 →