Characterizations of Discrete Weibull related distributions

被引：11

作者：

Szymkowiak, Magdalena ^{[1
]}

Iwinska, Maria ^{[2
]}

机构：

[1] Poznan Univ Tech, Chair Control & Syst Engn, Pl M Sklodowskiej Curie 5, PL-60965 Poznan, Poland

[2] Poznan Univ Tech, Inst Math, Pl M Sklodowskiej Curie 5, PL-60965 Poznan, Poland

来源：

STATISTICS & PROBABILITY LETTERS | 2016年 / 111卷

关键词：

Discrete failure rate; Discrete aging and alternative aging intensities; Characterization; Discrete Weibull distributions; Discrete aging intensity order; FAILURE RATE;

D O I：

10.1016/j.spl.2016.01.004

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 paper discrete aging intensity and discrete alternative aging intensity functions are introduced. Further, using these functions we characterize some Discrete Weibull related distributions. Although, these discrete distributions have their continuous equivalents, quite often they seem to be more convenient in reliability analysis of elements and systems. Finally, for the considered class of Modified Discrete Weibull distributions a discrete aging intensity order is studied. This order allows us to decide that one random variable has the better aging property than the other one. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：41 / 48

页数：8

共 16 条

[1] Modifications of the Weibull distribution: A review [J].

Almalki, Saad J. ;

Nadarajah, Saralees .

RELIABILITY ENGINEERING & SYSTEM SAFETY, 2014, 124 :32-55

[2]

[Anonymous], 2002, International Journal of Reliability, Quality Saftey Enginearing

[3] Reliability analysis using ageing intensity function [J].

Bhattacharjee, Subarna ;

Nanda, Asok K. ;

Misra, Satya Kr .

STATISTICS & PROBABILITY LETTERS, 2013, 83 (05) :1364-1371

[4]

Dewan I., 2011, 2011 IEEE International Conference on Quality and Reliability (ICQR 2011), P200, DOI 10.1109/ICQR.2011.6031709

[5]

Iwinska M., 2015, FAILURE RATE A UNPUB

[6] Aging property of unimodal failure rate models [J].

Jiang, R ;

Ji, P ;

Xiao, X .

RELIABILITY ENGINEERING & SYSTEM SAFETY, 2003, 79 (01) :113-116

[7] MEAN HAZARD RATE AND ITS APPLICATION TO THE NORMAL APPROXIMATION OF THE WEIBULL DISTRIBUTION [J].

MAKINO, T .

NAVAL RESEARCH LOGISTICS, 1984, 31 (01) :1-8

[8] DISCRETE WEIBULL DISTRIBUTION [J].

NAKAGAWA, T ;

OSAKI, S .

IEEE TRANSACTIONS ON RELIABILITY, 1975, 24 (05) :300-301

[9] Properties of aging intensity function [J].

Nanda, Asok K. ;

Bhattacharjee, Subarna ;

Alam, S. S. .

STATISTICS & PROBABILITY LETTERS, 2007, 77 (04) :365-373

[10] Characterization of distributions through failure rate and mean residual life functions [J].

Nanda, Asok K. .

STATISTICS & PROBABILITY LETTERS, 2010, 80 (9-10) :752-755

← 1 2 →