Use of Concomitants of Order Statistics in the Estimation of Parameters μ2 and σ2 of Morgenstern Type Bivariate Exponential Distribution

被引：0

作者：

Sajeevkumar, N. K. ^{[1
]}

Sumi, A. R. ^{[2
]}

机构：

[1] Univ Coll, Dept Stat, Trivandrum 695034, Kerala, India

[2] Univ Kerala, Dept Stat, Trivandrum 695581, Kerala, India

来源：

JOURNAL OF THE INDIAN SOCIETY FOR PROBABILITY AND STATISTICS | 2022年 / 23卷 / 02期

关键词：

Morgenstern family of distribution; Morgenstern type bivariate exponential distribution; Best linear unbiased estimation; Concomitants of order statistics;

D O I：

10.1007/s41096-022-00132-7

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：

In this article we have derived the best linear unbiased estimator (BLUE)of the parameters mu(1), mu(2), mu(1) and mu(2) involved in the Morgenstern type bivariate exponential distribution(MTBED) by concomitants of order statistics.Also we have evaluated coefficients of the BLUE's of mu(1), mu(2), mu(1) and mu(2) involved in the Morgenstern type bivariate exponential distribution by concomitants of order statistics for some specific values of the sample size m.Also we have derived the asymptotic variances of the MLE's of the parameters mu(1), mu(2), mu(1) and mu(2) involved in MTBED.A simulation study is also conducted for estimating the parameters involved in MTBED.

引用

页码：465 / 482

页数：18

共 50 条

[41] Concomitants of Dual Generalized Order Statistics from Bivariate Burr III Distribution
Haseeb Athar
Zuber Nayabuddin
[J]. Journal of Statistical Theory and Applications, 2015, 14 (3): : 240 - 256
[42] Estimation of parameters of bivariate normal distribution using concomitants of record values
Chacko, Manoj
Thomas, P. Yageen
[J]. STATISTICAL PAPERS, 2008, 49 (02) : 263 - 275
[43] Estimating parameters of Morgenstern type bivariate distribution using bivariate ranked set sampling
Al Kadiri, M. A.
Migdadi, M. K.
[J]. ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS, 2019, 12 (01) : 190 - 208
[44] Estimation of parameters of bivariate normal distribution using concomitants of record values
Manoj Chacko
P. Yageen. Thomas
[J]. Statistical Papers, 2008, 49 : 263 - 275
[45] Concomitants of Order Statistics and Record Values from Bairamov-Kotz-Becki-FGM Bivariate-Generalized Exponential Distribution
Barakat, M.
Nigm, E. M.
Syam, A. H.
[J]. FILOMAT, 2018, 32 (09) : 3313 - 3324
[46] ESTIMATION AND HYPOTHESIS TESTING FOR PARAMETERS OF A BIVARIATE EXPONENTIAL DISTRIBUTION
BEMIS, BM
BAIN, LJ
HIGGINS, JJ
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1972, 67 (340) : 927 - 929
[47] Improved estimation of scale parameters of morgenstern type bivariate uniform distribution using ranked set sampling
Singh, Housila P.
Mehta, Vishal
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (05) : 1466 - 1476
[48] Sarmanov bivariate distribution: dependence structure-Fisher information in order statistics and their concomitants
Barakat, H. M.
Alawady, M. A.
Mansour, G. M.
Husseiny, I. A.
[J]. RICERCHE DI MATEMATICA, 2022,
[49] Estimation of the location and scale parameters of generalized exponential distribution based on order statistics
Raqab, MZ
Ahsanullah, M
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2001, 69 (02) : 109 - 123
[50] ESTIMATION OF PARAMETERS OF EXPONENTIAL DISTRIBUTION BASED ON OPTIMUM ORDER STATISTICS IN CENSORED SAMPLES
SALEH, AKM
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (06): : 1717 - &

← 1 2 3 4 5 →