Moments of inverse Weibull-geometric distribution based on progressive type-II right censored order statistics

被引：0

作者：

AL-Zaydi, Areej M. ^{[1
]}

Al-Zahrani, Bander ^{[2
]}

机构：

[1] Taif Univ, Dept Math & Stat, Taif, Saudi Arabia

[2] King Abdulaziz Univ, Dept Stat, Jeddah, Saudi Arabia

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2024年 / 53卷 / 20期

关键词：

Progressively Type-II right censored order statistics; recurrence relations; inverse Weibull-geometric distribution; best linear unbiased estimators; best linear unbiased predictors; LOGISTIC DISTRIBUTION; RECURRENCE RELATIONS; PRODUCT MOMENTS; ALGORITHM; SINGLE;

D O I：

10.1080/03610926.2023.2263117

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 derive explicit expressions and some recurrence relations for the single and product moments of progressively Type-II right censored order statistics from the inverse Weibull-geometric distribution, and then we use these results to calculate the means and variances of progressively Type-II right censored order statistics. Also, we discuss the best linear unbiased estimators for the location and scale parameters as well as the best linear unbiased predictors of the censored failure times. Finally, a real data application is presented.

引用

页码：7352 / 7369

页数：18

共 50 条

[1] Moments Of Progressively Type-II Censored Order Statistics From Weibull-Geometric Distribution And Associated Inference
AL-Zaydi, Areej M.
Al-Zahrani, Bander
[J]. APPLIED MATHEMATICS E-NOTES, 2022, 22 : 712 - 730
[2] Moments and estimation of reduced Kies distribution based on progressive type-II right censored order statistics
Dey, Sanku
Nassar, Mazen
Kumar, Devendra
[J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2019, 48 (01): : 332 - 350
[3] RELATIONSHIP FOR MOMENTS OF PROGRESSIVE TYPE-II RIGHT CENSORED ORDER STATISTICS FROM NEW WEIBULL-PARETO DISTRIBUTION AND CHARACTERIZATION
Khan, M., I
[J]. INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2021, 17 (01): : 31 - 38
[4] Recurrence relations between moments of progressive type-II right censored order statistics from doubly truncated Weibull distribution
Athar, Haseeb
Akhter, Zuber
[J]. STATISTICAL PAPERS, 2016, 57 (02) : 419 - 428
[5] Recurrence relations between moments of progressive type-II right censored order statistics from doubly truncated Weibull distribution
Haseeb Athar
Zuber Akhter
[J]. Statistical Papers, 2016, 57 : 419 - 428
[6] Recurrence relations for moments of progressive Type-II right censored order statistics from Burr distribution
Saran, J
Pushkarna, N
[J]. STATISTICS, 2001, 35 (04) : 495 - 507
[7] Recurrence Relations for Moments and Estimation of Parameters of Extended Exponential Distribution Based on Progressive Type-II Right-Censored Order Statistics
Devendra Kumar
Mansoor Rashid Malik
Sanku Dey
Muhammad Qaiser Shahbaz
[J]. Journal of Statistical Theory and Applications, 2019, 18 : 171 - 181
[8] Recurrence Relations for Moments and Estimation of Parameters of Extended Exponential Distribution Based on Progressive Type-II Right-Censored Order Statistics
Kumar, Devendra
Malik, Mansoor Rashid
Dey, Sanku
Shahbaz, Muhammad Qaiser
[J]. JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2019, 18 (02): : 171 - 181
[9] Characterizations of geometric distribution through progressively Type-II right-censored order statistics
Balakrishnan, N.
Cramer, E.
Dembinska, A.
[J]. STATISTICS, 2011, 45 (06) : 559 - 573
[10] Bayesian inference and prediction of order statistics for a Type-II censored Weibull distribution
Kundu, Debasis
Raqab, Mohammad Z.
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2012, 142 (01) : 41 - 47

← 1 2 3 4 5 →