COMPARISON OF ESTIMATORS FOR STRESS-STRENGTH RELIABILITY IN THE GOMPERTZ CASE

被引:0
|
作者
Saracoglu, Bugra [1 ]
Kaya, Mehmet Fedai [1 ]
Abd-Elfattah, A. M. [2 ]
机构
[1] Selcuk Univ, Fac Sci, Dept Stat, TR-42031 Konya, Turkey
[2] Cairo Univ, Inst Stat Studies & Res, Dept Math Stat, Cairo, Egypt
来源
关键词
Stress-strength reliability; Gompertz distribution; Minimum variance unbiased estimation; Maximum likelihood estimation; Bayes estimation; Mean square error; X DISTRIBUTION; BURR; P(Y-LESS-THAN-X); MODEL;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, the Bayesian and non Bayesian estimation problem of reliability, R = P(Y < X), will be considered when X and Y are two independent but not identically random variables belonging to the Gompertz distribution. The three estimation methods applied were the maximum likelihood, uniformly minimum variance unbiased, and Bayes estimators. A numerical illustration is used to compare the three different estimators.
引用
收藏
页码:339 / 349
页数:11
相关论文
共 50 条
  • [1] Reliability estimation in a multicomponent stress-strength based on unit-Gompertz distribution
    Jha, Mayank Kumar
    Dey, Sanku
    Tripathi, Yogesh Mani
    [J]. INTERNATIONAL JOURNAL OF QUALITY & RELIABILITY MANAGEMENT, 2020, 37 (03) : 428 - 450
  • [2] System stress-strength reliability: The multivariate case
    Turkkan, Noyan
    Pham-Gia, Thu
    [J]. IEEE TRANSACTIONS ON RELIABILITY, 2007, 56 (01) : 115 - 124
  • [3] AN ESTIMATION PROCEDURE IN MULTIVARIATE STRESS-STRENGTH RELIABILITY USING BAYES ESTIMATORS
    Goswami, Anirban
    Seal, Babulal
    [J]. INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2023, 19 (02): : 461 - 468
  • [4] Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring
    Ezmareh, Z. Karimi
    Yari, G.
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
  • [5] STRESS-STRENGTH RELIABILITY MODELS
    DHILLON, BS
    [J]. MICROELECTRONICS AND RELIABILITY, 1980, 20 (04): : 513 - 516
  • [6] An Efficient Stress-Strength Reliability Estimate of the Unit Gompertz Distribution Using Ranked Set Sampling
    Alsadat, Najwan
    Hassan, Amal S.
    Elgarhy, Mohammed
    Chesneau, Christophe
    Mohamed, Rokaya Elmorsy
    [J]. SYMMETRY-BASEL, 2023, 15 (05):
  • [7] Improved estimators for stress-strength reliability using record ranked set sampling scheme
    Safariyan, A.
    Arashi, M.
    Belaghi, R. Arabi
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2019, 48 (09) : 2708 - 2726
  • [8] Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring
    Ciftci, Fatma
    Saracoglu, Bugra
    Akdam, Neriman
    Akdogan, Yunus
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2023, 52 (05): : 1379 - 1395
  • [9] On estimating a stress-strength type reliability
    Mahdizadeh, M.
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 47 (01): : 243 - 253
  • [10] A NOTE ON STRESS-STRENGTH RELIABILITY MODELS
    SUBRAMAN.R
    RAMESH, KS
    [J]. IEEE TRANSACTIONS ON RELIABILITY, 1969, R 18 (04) : 204 - &