Inference on P(X<Y) for bivariate normal distribution based on ranked set sample

被引：0

作者：

Chacko, Manoj ^{[1
]}

Mathew, Shiny ^{[1
]}

机构：

[1] Univ Kerala, Dept Stat, Trivandrum, Kerala, India

来源：

METRON-INTERNATIONAL JOURNAL OF STATISTICS | 2019年 / 77卷 / 03期

关键词：

Ranked set sampling; Concomitants of order statistics; Bayesian estimation; Importance sampling; STRESS; PROBABILITY; RELIABILITY;

D O I：

10.1007/s40300-019-00154-5

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 consider the problem of estimation of R=P(X<Y), when X and Y are dependent, using bivariate ranked set sampling. The maximum likelihood estimates (MLEs) and Bayes estimates (BEs) of R are obtained based on ranked set sample when (X,Y) follows bivariate normal distribution. BEs are obtained based on both symmetric and asymmetric loss functions. The percentile bootstrap and HPD confidence intervals for R are also obtained. Simulation studies are carried out to find the accuracy of the proposed estimators. A real data is also used to illustrate the inferential procedures developed in this paper.

引用

页码：239 / 252

页数：14

共 50 条

[1] INFERENCE ON P(Y < X) BASED ON RANKED SET SAMPLE FOR GENERALIZED PARETO DISTRIBUTION
Chacko, Manoj
Mathew, Shiny
[J]. STATISTICA, 2021, 81 (04) : 447 - 459
[2] Inference on P(X < Y) for Bivariate Normal Distribution based on Censored Data
Chacko, Manoj
Mathew, Shiny
[J]. JOURNAL OF THE INDIAN SOCIETY FOR PROBABILITY AND STATISTICS, 2020, 21 (02) : 487 - 509
[3] Statistical inference for P(X<Y)
Zhou, Wang
[J]. STATISTICS IN MEDICINE, 2008, 27 (02) : 257 - 279
[4] Inference on P(Y < X) in Bivariate Rayleigh Distribution
Pak, A.
Khoolenjani, N. B.
Jafari, A. A.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2014, 43 (22) : 4881 - 4892
[5] Inference of R = P[X < Y] for skew normal distribution
Babayi, Salman
Khorram, Esmaile
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (20) : 10315 - 10326
[6] Estimation of P(X < 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] Inference on P(X < Y) for Morgenstern Type Bivariate Exponential Distribution Based on Record Values
Chacko, Manoj
Mathew, Shiny
[J]. STATISTICS AND APPLICATIONS, 2022, 20 (02): : 203 - 218
[8] Inference on P(X < Y) in bivariate Lomax Model
Musleh, Rola M.
Helu, Amal
Samawi, Hani
[J]. ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS, 2019, 12 (03) : 619 - 636
[9] Point and Interval Estimators of R= P[Y < 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
[10] Inference on reliability P(Y < X) in the Levy distribution
Ali, MM
Woo, JS
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2005, 41 (8-9) : 965 - 971

← 1 2 3 4 5 →

Inference on P(X&lt;Y) for bivariate normal distribution based on ranked set sample

Inference on P(X<Y) for bivariate normal distribution based on ranked set sample