On Some Models of Ordered Random Variables and Characterizations of Distributions

被引：0

作者：

Tavangar, Mahdi ^{[1
]}

Bayramoglu, Ismihan ^{[2
]}

机构：

[1] Univ Isfahan, Fac Math & Stat, Dept Stat, Esfahan, Iran

[2] Izmir Univ Econ, Dept Math, Izmir, Turkey

来源：

MATHEMATICAL METHODS OF STATISTICS | 2020年 / 29卷 / 03期

关键词：

characterizations of distributions; order statistics; extended neighboring order statistics; generalized order statistics; regression of order statistics; GENERALIZED PARETO; CONDITIONAL-EXPECTATION; REGRESSION;

D O I：

10.3103/S1066530720030035

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The concept of extended neighboring order statistics introduced in Asadi et al. (2001) is a general model containing models of ordered random variables that are included in the generalized order statistics. This model also includes several models of ordered random variables that are not included in the generalized order statistics and is a helpful tool in unifying characterization results from several models of ordered random variables. In this paper, some general classes of distributions with many applications in reliability analysis and engineering, such as negative exponential, inverse exponential, Pareto, negative Pareto, inverse Pareto, power function, negative power, beta of the first kind, rectangular, Cauchy, Raleigh, Lomax, etc., have been characterized by using the regression of extended neighboring order statistics and decreasingly ordered random variables.

引用

页码：149 / 158

页数：10

共 50 条

[1] On Some Models of Ordered Random Variables and Characterizations of Distributions
Mahdi Tavangar
Ismihan Bayramoglu
[J]. Mathematical Methods of Statistics, 2020, 29 : 149 - 158
[2] SOME OBSERVATIONS ON ESTIMATES OF DISTRIBUTIONS OF 2 STOCHASTICALLY ORDERED RANDOM VARIABLES
ROBERTSO.T
HOGG, RV
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05): : 1430 - &
[3] On Some Characterizations of Probability Distributions Based on Maxima or Minima of Some Families of Dependent Random Variables
Rao, B. L. S. Prakasa
[J]. JOURNAL OF THE INDIAN SOCIETY FOR PROBABILITY AND STATISTICS, 2024, 25 (01) : 295 - 306
[4] Ordered Random Variables from Discontinuous Distributions
Balakrishnan, N.
Dembinska, A.
[J]. JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY, 2007, 6 (01): : 31 - 46
[5] CHARACTERIZATIONS OF DISTRIBUTIONS OF RATIOS OF CERTAIN INDEPENDENT RANDOM VARIABLES
Hamedani, G. G.
[J]. JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2013, 9 (01) : 15 - 25
[6] APPROXIMATIONS TO THE DISTRIBUTIONS OF ORDERED DISTANCE RANDOM-VARIABLES
REISS, RD
[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1985, 37 (03) : 529 - 533
[7] Characterizations via linear regression of ordered random variables: A unifying approach
Cramer, E
Kamps, U
Keseling, C
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2004, 33 (11-12) : 2885 - 2911
[8] On families of distributions characterized by certain properties of ordered random variables
Ananjevskii S.M.
Nevzorov V.B.
[J]. Vestnik St. Petersburg University: Mathematics, 2016, 49 (3) : 197 - 203
[9] A note on the correlation bounds for some ordered random variables
[J]. 1600, Tamkang University (24):
[10] SOME CHARACTERIZATIONS ON STATISTICAL CONVERGENCE OF EXPECTED VALUES OF RANDOM VARIABLES
Duman, Oktay
Gurcan, Mehmet
[J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2010, 1 (02): : 1 - 8

← 1 2 3 4 5 →