Marshall-Olkin extended Weibull distribution and its application to censored data

被引:112
|
作者
Ghitany, ME [1 ]
Al-Hussaini, EK [1 ]
Al-Jarallah, RA [1 ]
机构
[1] Kuwait Univ, Fac Sci, Dept Stat & Oper Res, Safat 13060, Kuwait
关键词
Akiake information criterion; Bayesian information criterion; censored data; compound distribution; hazard rate; likelihood ratio test; maximum likelihood; Weibull distribution;
D O I
10.1080/02664760500165008
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 we show that the Marshall-Olkin extended Weibull distribution can be obtained as a compound distribution with mixing exponential distribution. In addition, we provide simple sufficient conditions for the shape of the hazard rate function of the distribution. Moreover, we extend the considered distribution to accommodate randomly right censored data. Finally, application of the extended distribution to a data set representing the remission times of bladder cancer patients is given and its goodness-of-fit is demonstrated.
引用
收藏
页码:1025 / 1034
页数:10
相关论文
共 50 条
  • [1] Marshall-Olkin extended Lomax distribution and its application to censored data
    Ghitany, M. E.
    Al-Awadhi, F. A.
    Alkhalfan, L. A.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (9-12) : 1855 - 1866
  • [2] On Marshall-Olkin Extended Weibull Distribution
    Hanan Haj Ahmad
    Omar M. Bdair
    M. Ahsanullah
    [J]. Journal of Statistical Theory and Applications, 2017, 16 (1): : 1 - 17
  • [3] On the Marshall-Olkin extended Weibull distribution
    Cordeiro, Gauss M.
    Lemonte, Artur J.
    [J]. STATISTICAL PAPERS, 2013, 54 (02) : 333 - 353
  • [4] The Weibull Marshall-Olkin family: Regression model and application to censored data
    Korkmaz, Mustafa C.
    Cordeiro, Gauss M.
    Yousof, Haitham M.
    Pescim, Rodrigo R.
    Afify, Ahmed Z.
    Nadarajah, Saralees
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (16) : 4171 - 4194
  • [5] Fitting and testing the Marshall-Olkin extended Weibull model with randomly censored data
    Xu, Jiaqing
    Peng, Cheng
    [J]. JOURNAL OF APPLIED STATISTICS, 2014, 41 (12) : 2577 - 2595
  • [6] Testing for the Marshall-Olkin extended form of the Weibull distribution
    Caroni, Chrys
    [J]. STATISTICAL PAPERS, 2010, 51 (02) : 325 - 336
  • [7] The Marshall-Olkin exponential Weibull distribution
    Pogany, Tibor K.
    Saboor, Abdus
    Provost, Serge
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (06): : 1579 - 1594
  • [8] MARSHALL-OLKIN EXTENDED TOPP-LEONE DISTRIBUTION AND ITS APPLICATION TO PROGRESSIVELY FIRST-FAILURE CENSORED DATA
    Modhesh, A. A.
    Alkhairy, Ibrahim
    [J]. ADVANCES AND APPLICATIONS IN STATISTICS, 2021, 71 (01) : 101 - 121
  • [9] Marshall-Olkin Weibull-Burr XII distribution with application to physics data
    Alsadat, Najwan
    Nagarjuna, Vasili B. V.
    Hassan, Amal S.
    Elgarhy, Mohammed
    Ahmad, Hijaz
    Almetwally, Ehab M.
    [J]. AIP ADVANCES, 2023, 13 (09)
  • [10] Application of the Marshall-Olkin-Weibull logarithmic distribution to complete and censored data
    Musekwa, Regent Retrospect
    Gabaitiri, Lesego
    Makubate, Boikanyo
    [J]. HELIYON, 2024, 10 (14)