RELIABILITY CHARACTERISTICS OF BIVARIATE RAYLEIGH DISTRIBUTION AND CONCOMITANTS OF ITS ORDER STATISTICS AND RECORD VALUES

被引：2
|
作者：
Tahmasebi, Saeid [1 ]
Jafari, Ali Akbar [2 ]
Ahsanullah, Mohammad [3 ]
机构：
[1] Persian Gulf Univ, Dept Stat, Bushehr, Iran
[2] Yazd Univ, Dept Stat, Yazd, Iran
[3] Rider Univ, Coll Business Adm, Lawrenceville, NJ 08648 USA
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2017年 / 54卷 / 02期
关键词：
Concomitants; Order statistics; Rayleigh distribution; Reliability characteristics; GENERALIZED EXPONENTIAL-DISTRIBUTION; GAMMA-DISTRIBUTION; PARAMETER; FAMILY; ASSOCIATION; DEPENDENCE; ESTIMATORS;
D O I：
10.1556/012.2017.54.2.1359
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Rayleigh distribution is an important model in applications such as noise theory, height of the sea waves and wave length. In this paper, we first study the reliability characteristics of Morgenstern type bivariate Rayleigh distribution (MTBRD). Then, we investigate some properties on concomitants of order statistics and record values in MTBRD. Finally, we propose the best linear unbiased estimator for a parameter of MTBRD using both complete and censored samples based on concomitants of order statistics.
引用
收藏
页码：151 / 170
页数：20
相关论文
共 50 条
  • [11] Characterizations of Rayleigh Distribution Based on Order Statistics and Record Values
    Ahsanullah, M.
    Shakil, M.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (03) : 625 - 635
  • [12] Fisher information in order statistics and their concomitants for Cambanis bivariate distribution
    Husseiny, Islam A.
    Barakat, Haroon M.
    Taher, Taher S.
    Alawady, Metwally A.
    MATHEMATICA SLOVACA, 2024, 74 (02) : 501 - 520
  • [13] Concomitants of Generalized Order Statistics for a Bivariate Exponential Distribution
    Hanif, Saman
    Shahbaz, Muhammad Qaiser
    PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2016, 12 (02) : 227 - 234
  • [14] Distribution of concomitants of order statistics and their order statistics
    He, Qinying
    Nagaraja, H. N.
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2009, 139 (08) : 2643 - 2655
  • [15] Concomitants of Upper Record Statistics for Bivariate Pseudo-Weibull Distribution
    Ahsanullah, Muhammad
    Shahbaz, Saman
    Shahbaz, Muhammad Qaiser
    Mohsin, Muhammad
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2010, 5 (02): : 282 - 291
  • [16] Concomitants of Dual Generalized Order Statistics from Bivariate Burr III Distribution
    Athar, Haseeb
    Nayabuddin
    Akhter, Zuber
    JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2015, 14 (03): : 240 - 256
  • [17] Concomitants of Dual Generalized Order Statistics from Bivariate Burr III Distribution
    Haseeb Athar
    Zuber Nayabuddin
    Journal of Statistical Theory and Applications, 2015, 14 (3): : 240 - 256
  • [18] On concomitants of order statistics arising from the extended Farlie-Gumbel-Morgenstern bivariate logistic distribution and its application in estimation
    Philip, Anne
    Thomas, P. Yageen
    STATISTICAL METHODOLOGY, 2015, 25 : 59 - 73
  • [19] On Concomitants of Dual Generalized Order Statistics for a Bivariate Inverse Exponential Distribution
    Shahbaz, Saman Hanif
    Shahbaz, Muhammad Qaiser
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (04): : 929 - 936
  • [20] ON CONCOMITANTS OF DUAL GENERALIZED ORDER STATISTICS FOR A BIVARIATE INVERSE WEIBULL DISTRIBUTION
    Shahbaz, Saman Hanif
    Shahbaz, Muhammad Qaiser
    ADVANCES AND APPLICATIONS IN STATISTICS, 2019, 55 (01) : 35 - 46
12345