On proportional odds models

被引：22

作者：

Sankaran, P. G. ^{[1
]}

Jayakumar, K. ^{[2
]}

机构：

[1] Cochin Univ Sci & Technol, Dept Stat, Cochin 682022, Kerala, India

[2] Univ Calicut, Dept Stat, Calicut 673635, Kerala, India

来源：

STATISTICAL PAPERS | 2008年 / 49卷 / 04期

关键词：

odds function; proportional odds model; hazard rate; family of distributions; survival function;

D O I：

10.1007/s00362-006-0042-3

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：

Recently, Marshall and Olkin (Biometrika 84(3):641-652 1997) introduced a family of distributions by adding a new parameter to a survival function. In this paper, we give physical interpretation of the family using odds function. It is shown that the family of distributions satisfies the property of proportional odds function. We, then, develop a generalized family and study its properties. Further, we give various definitions of proportional odds model in the bivariate set up. Based on these, we introduce new families of bivariate distributions and study their properties.

引用

页码：779 / 789

页数：11

共 6 条

[1] The reversed hazard rate function [J].

Block, HW ;

Savits, TH ;

Singh, H .

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 1998, 12 (01) :69-90

[2]

COX DR, 1972, J R STAT SOC B, V34, P187

[3]

Johnson N. L., 1975, Journal of Multivariate Analysis, V5, P53, DOI 10.1016/0047-259X(75)90055-X

[4] On the proportional odds model in survival analysis [J].

Kirmani, SNUA ;

Gupta, RC .

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2001, 53 (02) :203-216

[5] A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families [J].

Marshall, AW ;

Olkin, I .

BIOMETRIKA, 1997, 84 (03) :641-652

[6]

Wang Y, 2003, COMMUN STAT-THEOR M, V32, P2227, DOI [10.1081/STA-120024477, 10.1081/STa-120024477]

← 1 →