A study of stress-strength reliability using a generalization of power transformed half-logistic distribution

被引：15
|
作者：
Xavier, Thomas [1 ]
Jose, Joby K. [1 ]
机构：
[1] Kannur Univ, Dept Stat Sci, Kannur 670567, Kerala, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2021年 / 50卷 / 18期
关键词：
Half-logistic distribution; generalized hypergeometric function; stress-strength reliability; maximum likelihood estimation; Y LESS-THAN; MODEL;
D O I：
10.1080/03610926.2020.1716250
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：
A new probability model obtained by generalizing the power transformed half logistic distribution is introduced by transforming the type II beta distribution. The basic properties of the distribution are studied and observed that the distribution can be used for modeling heavy tailed data. Further the expression for stress strength reliability of a single component system with strength following the proposed model and different cases for stress are obtained. Different methods of estimation of parameters - method of moments, quantile estimation, and maximum likelihood estimation are also explained. The usefulness of the model is also studied by applying it to a real-life data set.
引用
收藏
页码：4335 / 4351
页数：17
相关论文
共 50 条
  • [1] Estimation of Reliability in a Multicomponent Stress-Strength Model Based on Power Transformed Half-Logistic Distribution
    Xavier, Thomas
    Jose, Joby K.
    [J]. INTERNATIONAL JOURNAL OF RELIABILITY QUALITY AND SAFETY ENGINEERING, 2021, 28 (02)
  • [2] Stress-strength reliability estimation involving paired observation with ties using bivariate exponentiated half-logistic model
    Xavier, Thomas
    Jose, Joby K.
    [J]. JOURNAL OF APPLIED STATISTICS, 2022, 49 (05) : 1049 - 1064
  • [3] Estimation of the Reliability of a Stress-Strength System from Poisson Half Logistic Distribution
    Muhammad, Isyaku
    Wang, Xingang
    Li, Changyou
    Yan, Mingming
    Chang, Miaoxin
    [J]. ENTROPY, 2020, 22 (11) : 1 - 28
  • [4] Estimation of Stress-Strength Reliability for Power Transformed Perks Distribution with Applications
    Haridoss, Venugopal
    Jose, Sudheep
    Xavier, Thomas
    [J]. INTERNATIONAL JOURNAL OF RELIABILITY QUALITY AND SAFETY ENGINEERING, 2024,
  • [5] Reliability estimation of a N-M-cold-standby redundancy system in a multicomponent stress-strength model with generalized half-logistic distribution
    Liu, Yiming
    Shi, Yimin
    Bai, Xuchao
    Zhan, Pei
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 490 : 231 - 249
  • [6] Estimation of the stress-strength reliability for the generalized logistic distribution
    Asgharzadeh, A.
    Valiollahi, R.
    Raqab, Mohammad Z.
    [J]. STATISTICAL METHODOLOGY, 2013, 15 : 73 - 94
  • [7] On a Power Transformation of Half-Logistic Distribution
    Krishnarani, S. D.
    [J]. JOURNAL OF PROBABILITY AND STATISTICS, 2016, 2016
  • [8] An additive power-transformed half-logistic model and its applications in reliability
    Xavier, Thomas
    Jose, Joby K.
    Nadarajah, Saralees
    [J]. QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2022, 38 (06) : 3179 - 3196
  • [9] ESTIMATION OF STRESS-STRENGTH RELIABILITY BASED ON SKEW LOGISTIC DISTRIBUTION
    Gupta, Jaya
    Garg, Mridula
    Singh, Chandarmohan
    [J]. JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2019, 18 (3-4): : 119 - 125
  • [10] On stress-strength reliability model in log-logistic distribution
    Kantam, R. R. L.
    Rao, G. Srinivasa
    Sriram, B.
    [J]. INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2007, 3 (01): : 1 - 6
12345