Topp-Leone distribution with an application to binomial sampling

被引:0
|
作者
Lin, Chien-Tai [1 ]
Balakrishnan, N. [2 ]
机构
[1] Tamkang Univ, Dept Math, New Taipei 25137, Taiwan
[2] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada
关键词
Bandit problem; Gauss hypergeometric function; sequential experimentation; ARMED BERNOULLI BANDIT; STRATEGIES; MOMENTS;
D O I
10.1080/03610918.2021.1951765
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 present the exact distribution of the sum of two independent Topp-Leone variables which becomes useful in calculating the exact reliability of a standby system with Topp-Leone distributed component units when the values of parameters are known. Applications in Bayesian analysis with binomial sampling are also considered, and the comparison of the performance of Beta and Topp-Leone priors is then made.
引用
收藏
页码:4075 / 4086
页数:12
相关论文
共 50 条
  • [1] THE TOPP-LEONE GEOMETRIC DISTRIBUTION
    Sudsuk, Areeya
    Bodhisuwan, Winai
    [J]. 2016 12TH INTERNATIONAL CONFERENCE ON MATHEMATICS, STATISTICS, AND THEIR APPLICATIONS (ICMSA), 2016, : 108 - 112
  • [2] The Topp-Leone Gumbel Distribution
    Bodhisuwan, Winai
    [J]. 2016 12TH INTERNATIONAL CONFERENCE ON MATHEMATICS, STATISTICS, AND THEIR APPLICATIONS (ICMSA), 2016, : 93 - 98
  • [3] Acceptance sampling plans based on Topp-Leone Gompertz distribution
    Mahmood, Yasar
    Fatima, Shane
    Khan, Hina
    Amir, Hudabia
    Khoo, Michael B. C.
    Teh, Sin Yin
    [J]. COMPUTERS & INDUSTRIAL ENGINEERING, 2021, 159
  • [4] Power Inverted Topp-Leone Distribution in Acceptance Sampling Plans
    Abushal, Tahani A.
    Hassan, Amal S.
    El-Saeed, Ahmed R.
    Nassr, Said G.
    [J]. CMC-COMPUTERS MATERIALS & CONTINUA, 2021, 67 (01): : 991 - 1011
  • [5] Estimate survival function of the Topp-Leone exponential distribution with application
    AlBderi, Hind Jawad Kadhim
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 53 - 60
  • [6] Moments of order statistics of Topp-Leone distribution
    Genc, Ali I.
    [J]. STATISTICAL PAPERS, 2012, 53 (01) : 117 - 131
  • [7] Topp-Leone Power Lindley Distribution(Tlpld): its Properties and Application
    Festus C. Opone
    Nosakhare Ekhosuehi
    Sunday E. Omosigho
    [J]. Sankhya A, 2022, 84 : 597 - 608
  • [8] Topp-Leone normal distribution with application to increasing failure rate data
    Sharma, Vikas Kumar
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2018, 88 (09) : 1782 - 1803
  • [9] Topp-Leone Power Lindley Distribution(Tlpld): its Properties and Application
    Opone, Festus C.
    Ekhosuehi, Nosakhare
    Omosigho, Sunday E.
    [J]. SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY, 2022, 84 (02): : 597 - 608
  • [10] Bayesian Analysis of Topp-Leone Generalized Exponential Distribution
    Khan, Najrullah
    Khan, Athar Ali
    [J]. AUSTRIAN JOURNAL OF STATISTICS, 2018, 47 (04) : 1 - 15