The Marshall-Olkin Modified Lindley Distribution: Properties and Applications

被引:3
|
作者
Gillariose, Jiju [1 ]
Tomy, Lishamol [2 ]
Jamal, Farrukh [3 ]
Chesneau, Christophe [4 ]
机构
[1] St Thomas Coll, Dept Stat, Pala, Kerala, India
[2] Deva Matha Coll, Dept Stat, Kuravilangad, Kerala, India
[3] Islamia Univ, Dept Stat, Bahawalpur 63100, Pakistan
[4] Univ Caen, LMNO, Campus 2,Sci 3, F-14032 Caen, France
来源
关键词
Data analysis; marshall-olkin generalization; modified lindley distribution; STRESS-STRENGTH RELIABILITY; FAMILY;
D O I
10.13052/jrss0974-8024.1319
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
This article is devoted to a new Marshall-Olkin distribution by using a recent modification of the Lindley distribution. Mathematical features of the new model are described. Utilizing maximum likelihood method, the parameters of the new model are estimated. Performance of the estimation approach is discussed by means of a simulation procedure. Moreover, applications of the new distribution are presented which reveal its superiority over other three competing Marshall-Olkin extended distributions of the literature.
引用
收藏
页码:177 / 198
页数:22
相关论文
共 50 条
  • [31] Marshall-Olkin Alpha Power Rayleigh Distribution: Properties, Characterizations, Estimation and Engineering applications
    Almetwally, Ehab M.
    Afify, Ahmed Z.
    Hamedani, G. G.
    PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2021, 17 (03) : 745 - 760
  • [32] Reparameterizing Marshall-Olkin copulas with applications to sampling
    Mai, Jan-Frederik
    Scherer, Matthias
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2011, 81 (01) : 59 - 78
  • [33] A NOVEL WEIBULL MARSHALL-OLKIN POWER LOMAX DISTRIBUTION: PROPERTIES AND APPLICATIONS TO MEDICINE AND ENGINEERING
    Moradi, Elham
    Ghazani, Zahra shokooh
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (06): : 1275 - 1301
  • [34] Marshall-Olkin Length-Biased Maxwell Distribution and Its Applications
    Mathew, Jismi
    Chesneau, Christophe
    MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, 2020, 25 (04)
  • [35] The Marshall-Olkin length-biased exponential distribution and its applications
    ul Haq, Muhammad Ahsan
    Usman, Rana Muhammad
    Hashmi, Sharqa
    Al-Omeri, Amer Ibrahim
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (02) : 246 - 251
  • [36] Weighted Marshall-Olkin bivariate exponential distribution
    Jamalizadeh, Ahad
    Kundu, Debasis
    STATISTICS, 2013, 47 (05) : 917 - 928
  • [37] Test of fit for Marshall-Olkin distributions with applications
    Meintanis, Simos G.
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2007, 137 (12) : 3954 - 3963
  • [38] THE STABILITY OF A CHARACTERIZATION OF THE BIVARIATE MARSHALL-OLKIN DISTRIBUTION
    BAXTER, LA
    RACHEV, ST
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 160 (02) : 563 - 571
  • [39] The Marshall-Olkin logistic-exponential distribution
    Mansoor, M.
    Tahir, M. H.
    Cordeiro, Gauss M.
    Provost, Serge B.
    Alzaatreh, Ayman
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (02) : 220 - 234
  • [40] The Transmuted Marshall-Olkin Extended Lomax Distribution
    da Silva, Renilma P.
    Cysneiros, Audrey Helen M. A.
    Cordeiro, Gauss M.
    Tablada, Claudio Javier
    ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 2020, 92 (03): : 1 - 24