A SEMIPARAMETRIC ESTIMATION PROCEDURE OF DEPENDENCE PARAMETERS IN MULTIVARIATE FAMILIES OF DISTRIBUTIONS

被引:362
作者
GENEST, C
GHOUDI, K
RIVEST, LP
机构
[1] Département de mathématiques et de statistique, Université, Laval, Québec
基金
加拿大自然科学与工程研究理事会;
关键词
ASYMPTOTIC THEORY; CLAYTONS BIVARIATE FAMILY; KENDALLS TAN; MULTIVARIATE RANK STATISTIC; PSEUDO-LIKELIHOOD; SEMIPARAMETRIC ESTIMATION;
D O I
10.1093/biomet/82.3.543
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper investigates the properties of a semiparametric method for estimating the dependence parameters in a family of multivariate distributions. The proposed estimator, obtained as a solution of a pseudo-likelihood equation, is shown to be consistent, asymptotically normal and fully efficient at independence. A natural estimator of its asymptotic variance is proved to be consistent. Comparisons are made with alternative semiparametric estimators in the special case of Clayton's model for association in bivariate data.
引用
收藏
页码:543 / 552
页数:10
相关论文
共 20 条
[1]  
[Anonymous], 1959, PUBL I STAT U PARIS, V8, P229
[2]  
[Anonymous], 1994, J NONPARAMETR STAT, DOI DOI 10.1080/10485259408832593
[3]   MULTIVARIATE GENERALIZATIONS OF THE PROPORTIONAL HAZARDS MODEL [J].
CLAYTON, D ;
CUZICK, J .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 1985, 148 :82-117
[4]   MODEL FOR ASSOCIATION IN BIVARIATE LIFE TABLES AND ITS APPLICATION IN EPIDEMIOLOGICAL-STUDIES OF FAMILIAL TENDENCY IN CHRONIC DISEASE INCIDENCE [J].
CLAYTON, DG .
BIOMETRIKA, 1978, 65 (01) :141-151
[5]   ARCHIMEDEAN COPULAS AND FAMILIES OF BIDIMENSIONAL LAWS FOR WHICH THE MARGINALS ARE GIVEN [J].
GENEST, C ;
MACKAY, RJ .
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1986, 14 (02) :145-159
[6]   MEASURING THE SIMILARITIES BETWEEN THE LIFETIMES OF ADULT DANISH TWINS BORN BETWEEN 1881-1930 [J].
HOUGAARD, P ;
HARVALD, B ;
HOLM, NV .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1992, 87 (417) :17-24
[7]   FITTING A MULTIVARIATE FAILURE TIME DISTRIBUTION [J].
HOUGAARD, P .
IEEE TRANSACTIONS ON RELIABILITY, 1989, 38 (04) :444-448
[8]  
Hutchinson T.P., 1990, CONTINUOUS BIVARIATE
[9]   PARAMETRIC FAMILIES OF MULTIVARIATE DISTRIBUTIONS WITH GIVEN MARGINS [J].
JOE, H .
JOURNAL OF MULTIVARIATE ANALYSIS, 1993, 46 (02) :262-282
[10]   UNIFORM REPRESENTATION OF BIVARIATE DISTRIBUTIONS [J].
KIMELDORF, G ;
SAMPSON, A .
COMMUNICATIONS IN STATISTICS, 1975, 4 (07) :617-627