RELIABILITY ASPECTS OF PROPORTIONAL MEAN RESIDUAL LIFE MODEL USING QUANTILE FUNCTIONS

被引：0
|
作者：
Nair, N. Unnikrishnan [1 ]
Sankaran, P. Cr [1 ]
Sunoj, S. M. [1 ]
机构：
[1] Cochin Univ Sci & Technol, Dept Stat, Cochin, Kerala, India
来源：
REVSTAT-STATISTICAL JOURNAL | 2019年 / 17卷 / 04期
关键词：
proportional mean residual life model; quantile function; divergence measures; characterization; stochastic orders;
D O I：
暂无
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 the present work we propose a study of the proportional mean residual life model using quantile functions instead of distribution functions employed in the traditional approach. Through various quantile-based reliability concepts ageing properties of the model are discussed. We present characterizations of the proportional mean residual life model by properties of measures of uncertainty in the residual lives of the variables. Some stochastic order properties relating to the model are also derived.
引用
收藏
页码：475 / 492
页数：18
相关论文
共 50 条
  • [1] A software reliability model using mean residual quantile function
    Thomas, Bijamma
    Midhu, N. N.
    Sankaran, P. G.
    [J]. JOURNAL OF APPLIED STATISTICS, 2015, 42 (07) : 1442 - 1457
  • [2] Reliability Analysis of the Proportional Mean Residual Life Order
    Kayid, M.
    Izadkhah, S.
    Alhalees, H.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [3] On the Mixture Proportional Mean Residual Life Model
    Rezaei, Majid
    Gholizadeh, Behzad
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2015, 44 (20) : 4263 - 4277
  • [4] General proportional mean residual life model
    Kayid, Mohamed
    Izadkhah, Salman
    ALmufarrej, Dalal
    [J]. APPLICATIONS OF MATHEMATICS, 2016, 61 (05) : 607 - 622
  • [5] General proportional mean residual life model
    Mohamed Kayid
    Salman Izadkhah
    Dalal ALmufarrej
    [J]. Applications of Mathematics, 2016, 61 : 607 - 622
  • [6] Properties of proportional mean residual life model
    Nanda, AK
    Bhattacharjee, S
    Alam, SS
    [J]. STATISTICS & PROBABILITY LETTERS, 2006, 76 (09) : 880 - 890
  • [7] ON DYNAMIC PROPORTIONAL MEAN RESIDUAL LIFE MODEL
    Nanda, Asok K.
    Das, Suchismita
    Balakrishnan, N.
    [J]. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2013, 27 (04) : 553 - 588
  • [8] On the proportional mean residual life model and its implications
    Gupta, RC
    Kirmani, SNUA
    [J]. STATISTICS, 1998, 32 (02) : 175 - 187
  • [9] THRESHOLD ESTIMATION IN PROPORTIONAL MEAN RESIDUAL LIFE MODEL
    Wang, Bing
    Song, Xinyuan
    [J]. STATISTICA SINICA, 2024, 34 (01) : 111 - 132
  • [10] Proportional hazards model with quantile functions
    Nair, N. Unnikrishnan
    Sankaran, P. G.
    Sunoj, S. M.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (19) : 4710 - 4723
12345