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
  • [21] Some estimation and inference considerations for the zero-inflated discrete Weibull distribution
    Yeh, Peng
    Young, Derek S.
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2025,
  • [22] Cumulative Conforming Control Chart Assuming Discrete Weibull Distribution
    Ali, Sajid
    Zafar, Tanzila
    Shah, Ismail
    Wang, Lichen
    IEEE ACCESS, 2020, 8 : 10123 - 10133
  • [23] Odd Log-Logistic Modified Weibull Distribution
    Saboor, Abdus
    Alizadeh, Morad
    Khan, Muhammad Nauman
    Ghosh, Indranil
    Cordeiro, Gauss M.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (02)
  • [24] Odd Log-Logistic Modified Weibull Distribution
    Abdus Saboor
    Morad Alizadeh
    Muhammad Nauman Khan
    Indranil Ghosh
    Gauss M. Cordeiro
    Mediterranean Journal of Mathematics, 2017, 14
  • [25] The New Weibull-Pareto Distribution
    Nasiru, Suleman
    Luguterah, Albert
    PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2015, 11 (01) : 103 - 114
  • [26] General results for the beta-modified Weibull distribution
    Nadarajah, Saralees
    Cordeiro, Gauss M.
    Ortega, Edwin M. M.
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2011, 81 (10) : 1211 - 1232
  • [27] On the Discretization of the Weibull-G Family of Distributions: Properties, Parameter Estimates, and Applications of a New Discrete Distribution
    Balubaid, Abeer
    Klakattawi, Hadeel
    Alsulami, Dawlah
    SYMMETRY-BASEL, 2024, 16 (11):
  • [28] A Bayes analysis of modified Weibull distribution via Markov chain Monte Carlo simulation
    Upadhyay, S. K.
    Gupta, Ashutosh
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2010, 80 (03) : 241 - 254
  • [29] Reliability Estimation of Modified Weibull Distribution with Type-II Hybrid Censored Data
    Singh, Bhupendra
    Goel, Reetu
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A3): : 1395 - 1407
  • [30] A reduced distribution of the modified Weibull distribution and its applications to medical and engineering data
    Ghazal, M. G. M.
    Radwan, H. M. M.
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2022, 19 (12) : 13193 - 13213
12345