Some weighted distribution results on univariate and bivariate cases

被引:44
作者
Nanda, AK [1 ]
Jain, K [1 ]
机构
[1] Panjab Univ, Dept Stat, Chandigarh 160014, India
关键词
partial orderings; length biased distributions; equilibrium distributions; TP2 and RR2 functions; likelihood ratio dependence; quadrant dependence; right tail increasing;
D O I
10.1016/S0378-3758(98)00190-6
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, some partial ordering results regarding the original and the weighted distributions of random variables and random vectors have been derived. Bivariate weighted distributions have been discussed and some results have been obtained regarding them. Some dependence properties have also been studied. (C) 1999 Elsevier Science B.V. All rights reserved. AMS classifications: 62N.
引用
收藏
页码:169 / 180
页数:12
相关论文
共 25 条
[1]  
[Anonymous], J APPL STAT SCI
[2]   ON SOME PROPERTIES OF BIVARIATE WEIGHTED DISTRIBUTIONS [J].
ARNOLD, BC ;
NAGARAJA, HN .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1991, 20 (5-6) :1853-1860
[3]  
Barlow RE, 1975, STAT THEORY RELIABIL
[4]   LAPLACE TRANSFORMS FOR CLASSES OF LIFE DISTRIBUTIONS [J].
BLOCK, HW ;
SAVITS, TH .
ANNALS OF PROBABILITY, 1980, 8 (03) :465-474
[5]   PROPORTIONAL SAMPLING IN LIFE LENGTH STUDIES [J].
BLUMENTH.S .
TECHNOMETRICS, 1967, 9 (02) :205-&
[7]  
Cox D. R, 1962, RENEWAL THEORY
[8]   ASPECTS OF POSITIVE AGING [J].
DESHPANDE, JV ;
KOCHAR, SC ;
SINGH, H .
JOURNAL OF APPLIED PROBABILITY, 1986, 23 (03) :748-758
[9]  
EBRAHIMI N, 1981, COMMUN STAT A-THEOR, V10, P307
[10]   The effect of methods of ascertainment upon the estimation of frequencies [J].
Fisher, RA .
ANNALS OF EUGENICS, 1934, 6 :13-25