INFERENCE ON P(Y < X) BASED ON RANKED SET SAMPLE FOR GENERALIZED PARETO DISTRIBUTION

被引：0
|
作者：
Chacko, Manoj [1 ]
Mathew, Shiny [1 ]
机构：
[1] Univ Kerala, Dept Stat, Thiruvananthapuram, Kerala, India
来源：
STATISTICA | 2021年 / 81卷 / 04期
关键词：
Ranked set sample; Generalised Pareto distribution; Maximum likelihood estimator; Bayes estimation; INTERVAL ESTIMATION; STRESS-STRENGTH; RELIABILITY;
D O I：
暂无
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, the problem of estimation of R = P(Y < X) based on ranked set sampling, when (X, Y) follows generalised Pareto distribution (GPD) is considered. The maximum likelihood (ML) estimators and Bayes estimators of R are obtained. A Monte Carlo simulation is also performed to study the behaviour of different estimators.
引用
收藏
页码：447 / 459
页数：13
相关论文
共 50 条
  • [1] Inference on P(X&lt;Y) for bivariate normal distribution based on ranked set sample
    Chacko, Manoj
    Mathew, Shiny
    [J]. METRON-INTERNATIONAL JOURNAL OF STATISTICS, 2019, 77 (03): : 239 - 252
  • [2] Estimation of P[Y &lt; X] for generalized Pareto distribution
    Rezaei, Sadegh
    Tahmasbi, Rasool
    Mahmoodi, Manijeh
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (02) : 480 - 494
  • [3] Interval estimation of P(Y &lt; X) for generalized Pareto distribution
    Wong, Augustine
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2012, 142 (02) : 601 - 607
  • [4] Inference of R = P[X &lt; Y] for generalized logistic distribution
    Babayi, Salman
    Khorram, Esmaile
    Tondro, Farzad
    [J]. STATISTICS, 2014, 48 (04) : 862 - 871
  • [5] Inference on P(Y < X) in a Pareto Distribution
    Ali, M. Masoom
    Woo, Jungsoo
    [J]. JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2005, 4 (02) : 583 - 586
  • [6] Estimation of P(X &lt; Y) using ranked set sampling for the Weibull distribution
    Akgul, Fatma Gul
    Senoglu, Birdal
    [J]. QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2017, 14 (03): : 296 - 309
  • [7] Bayesian inference and prediction of the Pareto distribution based on ordered ranked set sampling
    El-Din, Mostafa M. Mohie
    Kotb, Mohamed S.
    Abd-Elfattah, Ehab F.
    Newer, Haidy A.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (13) : 6264 - 6279
  • [8] Point and Interval Estimators of R= P[Y &lt; X] Based on Gompertz Distribution and Ranked Set Sampling Data
    Hassan, Marwa Khalil
    Alohali, Manal Ibrahim
    Alojail, Fatimah Abdulaziz
    [J]. THAILAND STATISTICIAN, 2021, 19 (04): : 784 - 796
  • [9] Analysis of R = P[Y &lt; X &lt; Z] Using Ranked Set Sampling for a Generalized Inverse Exponential Model
    Hassan, Amal S.
    Alsadat, Najwan
    Elgarhy, Mohammed
    Chesneau, Christophe
    Nagy, Heba F.
    [J]. AXIOMS, 2023, 12 (03)
  • [10] Inference on reliability P(Y &lt; X) in the Levy distribution
    Ali, MM
    Woo, JS
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2005, 41 (8-9) : 965 - 971
12345