A New Discrete Modified Weibull Distribution

被引：33
|
作者：
Almalki, Saad J. [1 ,2 ]
Nadarajah, Saralees [2 ]
机构：
[1] Taif Univ, Dept Math & Stat, At Taif, Saudi Arabia
[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
来源：
IEEE TRANSACTIONS ON RELIABILITY | 2014年 / 63卷 / 01期
关键词：
Bathtub shaped failure rate; discrete distribution; lifetime models; modified Weibull distribution; MODEL; PARAMETERS; HAZARD;
D O I：
10.1109/TR.2014.2299691
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
A three-parameter discrete distribution is introduced based on a recent modification of the continuous Weibull distribution. It is one of only three discrete distributions allowing for bathtub shaped hazard rate functions. We study some of its mathematical properties, discuss estimation by the method of maximum likelihood, and describe applications to four real data sets. The new distribution is shown to outperform at least three other models including those allowing for bathtub shaped hazard rate functions.
引用
收藏
页码：68 / 80
页数：13
相关论文
共 50 条
  • [1] Discrete modified Weibull distribution
    Mohamad Shafaei Nooghabi
    Gholam Reza Mohtashami Borzadaran
    Abdol Hamid Rezaei Roknabadi
    METRON, 2011, 69 (2) : 207 - 222
  • [2] A new modified Weibull distribution
    Almalki, Saad J.
    Yuan, Jingsong
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2013, 111 : 164 - 170
  • [3] The exponentiated discrete Weibull distribution
    Nekoukhou, Vahid
    Bidram, Hamid
    SORT-STATISTICS AND OPERATIONS RESEARCH TRANSACTIONS, 2015, 39 (01) : 127 - 145
  • [4] Some new results for the Kumaraswamy modified Weibull distribution
    Gauss M. Cordeiro
    Antonio C. R. Braga Junior
    Clarice G. B. Demétrio
    Edwin M. M. Ortega
    Rodrigo R. Pescim
    Journal of Statistical Theory and Applications, 2014, 13 (1): : 86 - 104
  • [5] Some new results for the Kumaraswamy modified Weibull distribution
    Cordeiro, Gauss M.
    Braga Junior, Antonio C. R.
    Demetrio, Clarice G. B.
    Ortega, Edwin M. M.
    Pescim, Rodrigo R.
    JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2014, 13 (01): : 86 - 104
  • [6] A New Class of Generalized Modified Weibull Distribution with Applications
    Oluyede, Broderick O.
    Huang, Shujiao
    Yang, Tiantian
    AUSTRIAN JOURNAL OF STATISTICS, 2015, 44 (03) : 45 - 68
  • [7] The Gamma Modified Weibull Distribution
    Cordeiro, Gauss M.
    Aristizabal, William D.
    Suarez, Dora M.
    Lozano, Sebastien
    CHILEAN JOURNAL OF STATISTICS, 2015, 6 (01): : 37 - 48
  • [8] The modified Weibull geometric distribution
    Wang M.
    Elbatal I.
    METRON, 2015, 73 (3) : 303 - 315
  • [9] The beta modified Weibull distribution
    Silva, Giovana O.
    Ortega, Edwin M. M.
    Cordeiro, Gauss M.
    LIFETIME DATA ANALYSIS, 2010, 16 (03) : 409 - 430
  • [10] Weighted Modified Weibull Distribution
    Khan, Muhammad Nauman
    Saeed, Anwaar
    Alzaatreh, Ayman
    JOURNAL OF TESTING AND EVALUATION, 2019, 47 (05) : 3751 - 3764
12345