THE EXACT JOINT DISTRIBUTION OF CONCOMITANTS OF ORDER STATISTICS AND THEIR ORDER STATISTICS UNDER NORMALITY

被引:0
|
作者
Sheikhi, Ayyub [1 ]
Tata, Mahbanoo [1 ]
机构
[1] Shahid Bahonar Univ Kerman, Dept Stat, Kerman, Iran
关键词
unified skew-normal; L-statistic; multivariate normal distribution; order statistic; concomitant; orthant probability; LINEAR FUNCTIONS; RANDOM-VARIABLES;
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 work we derive the exact joint distribution of a linear combination of concomitants of order statistics and linear combinations of their order statistics in a multivariate normal distribution. We also investigate a special case of related joint distributions discussed by He and Nagaraja (2009).
引用
收藏
页码:121 / 134
页数:14
相关论文
共 50 条
  • [21] 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
  • [22] A Pseudo-Pareto Distribution and Concomitants of Its Order Statistics
    Gebizlioglu, Omer L.
    Yorubulut, Serap
    METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2016, 18 (04) : 1043 - 1064
  • [23] A Pseudo-Pareto Distribution and Concomitants of Its Order Statistics
    Omer L. Gebizlioglu
    Serap Yörübulut
    Methodology and Computing in Applied Probability, 2016, 18 : 1043 - 1064
  • [24] Regression analysis using order statistics and their concomitants
    Ziaei, Abdul Rasoul
    Sheikhi, Ayyub
    Amirzadeh, Vahid
    SORT, 2014, 38 (01): : 43 - 52
  • [25] Bivariate Pseudo-Gompertz distribution and concomitants of its order statistics
    Yorubulut, Serap
    Gebizlioglu, Omer L.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 247 : 68 - 83
  • [26] 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
  • [27] Order statistics with multivariate concomitants: stochastic comparisons
    Amini-Seresht, Ebrahim
    Khaledi, Baha-Eldin
    Shaked, Moshe
    STATISTICS, 2016, 50 (01) : 190 - 205
  • [28] Properties on Concomitants of Generalized Order Statistics from a Bivariate Rayleigh Distribution
    S. Tahmasebi
    A. A. Jafari
    M. Ahsanullah
    Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 355 - 370
  • [29] Properties on Concomitants of Generalized Order Statistics from a Bivariate Rayleigh Distribution
    Tahmasebi, S.
    Jafari, A. A.
    Ahsanullah, M.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (01) : 355 - 370
  • [30] 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