Reliability analysis of three-component mixture of distributions

被引：6

作者：

Aslam, M. ^{[1
]}

Tahir, M. ^{[2
]}

Hussain, Z. ^{[3
]}

机构：

[1] Riphah Int Univ, Dept Math & Stat, Islamabad 44000, Pakistan

[2] Govt Coll Univ, Dept Stat, Faisalabad 38000, Pakistan

[3] Quaid I Azam Univ, Dept Stat, Islamabad 44000, Pakistan

来源：

SCIENTIA IRANICA | 2018年 / 25卷 / 03期

关键词：

Three-component mixture distributions; Reliability analysis; Failure rate function; Mean residual life function; Mean waiting time function; GENERALIZED ORDER-STATISTICS; WEIBULL DISTRIBUTION; CENSORED-DATA; MODEL;

D O I：

10.24200/sci.2017.4441

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article focuses on studying three-component mixture of Exponential, Rayleigh, Pareto, and Burr Type-XII distributions in relation to reliability analysis. The main purpose of this study is to derive algebraic expressions for different functions of survival time. For these three-component mixtures of distributions, the cumulative distribution function, hazard rate function, cumulative hazard rate function, reversed hazard rate function, mean residual life function, and mean waiting time function are discussed. To study the behaviors of different reliability functions, numerical results are presented for fixed values of parameters. (C) 2018 Sharif University of Technology. All rights reserved.

引用

页码：1768 / 1781

页数：14

共 50 条

[1] Analysis of the reliability of a three-component system with renewal
Kovalenko A.I.
Journal of Mathematical Sciences, 2001, 103 (2) : 273 - 277
[2] On Estimation of Three-Component Mixture of Distributions via Bayesian and Classical Approaches
Tahir, Muhammad (tahirqaustat@yahoo.com), 1600, Hindawi Limited (2021):
[3] On Estimation of Three-Component Mixture of Distributions via Bayesian and Classical Approaches
Tahir, Muhammad
Almanjahie, Ibrahim M.
Abid, Muhammad
Ahmad, Ishfaq
MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
[4] Triboelectric separation of three-component plastic mixture
Saeki, Masato
PARTICULATE SCIENCE AND TECHNOLOGY, 2008, 26 (05) : 494 - 506
[5] Dynamics of growth in a three-component mixture with competing interactions
Varea, C
PHYSICAL REVIEW E, 2004, 69 (06):
[6] Dynamics of Feshbach molecules in an ultracold three-component mixture
Khramov, Alexander Y.
Hansen, Anders H.
Jamison, Alan O.
Dowd, William H.
Gupta, Subhadeep
PHYSICAL REVIEW A, 2012, 86 (03):
[7] A linear structural theory of isotropic three-component mixture
Simchuk Ya.V.
Priz S.N.
International Applied Mechanics, 2010, 46 (07) : 763 - 770
[8] On the three-component mixture of exponential distributions: A Bayesian framework to model data with multiple lower and upper outliers
Okhli, Kheirolah
Nooghabi, Mehdi Jabbari
MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 208 : 480 - 500
[9] On Plate Resolution and Identification of Three-Component Mixture of Nonionic Surfactants
Mohammad, Ali
Bhawani, S. A.
TENSIDE SURFACTANTS DETERGENTS, 2009, 46 (02) : 81 - 84
[10] Mathematic-Statistical Investigation of a Three-Component Mixture.
Paetsch, D.
Sprechsaal fuer Keramik, Glas, Email, Silikate, 1974, 107 (23): : 1022 - 1026

← 1 2 3 4 5 →