Bayesian analysis of mortality data

被引:33
作者
Dellaportas, P
Smith, AFM
Stavropoulos, P
机构
[1] Athens Univ Econ & Business, Dept Stat, GR-10434 Athens, Greece
[2] Univ London Queen Mary & Westfield Coll, London E1 4NS, England
[3] Univ Glasgow, Glasgow G12 8QQ, Lanark, Scotland
关键词
age; Bayesian inference; incomplete life-table; Markov chain Monte Carlo methods; mortality data;
D O I
10.1111/1467-985X.00202
中图分类号
O1 [数学]; C [社会科学总论];
学科分类号
03 ; 0303 ; 0701 ; 070101 ;
摘要
Congdon argued that the use of parametric modelling of mortality data is necessary in many practical demographical problems. In this paper, we focus on a form of model introduced by Heligman and Pollard in 1980, and we adopt a Bayesian analysis, using Markov chain Monte Carlo simulation, to produce the posterior summaries required. This opens the way to richer, more flexible inference summaries and avoids the numerical problems that are encountered with classical methods. Particular methodologies to cope with incomplete life-tables and a derivation of joint lifetimes, median times to death and related quantities of interest are also presented.
引用
收藏
页码:275 / 291
页数:17
相关论文
共 28 条
[1]  
[Anonymous], 1992, Bayesian statistics
[2]  
Benjamin B., 1980, ANAL MORTALITY OTHER
[3]  
Carlin B. P., 1992, T SOC ACTUARIES, V44, P55
[4]   STATISTICAL GRADUATION IN LOCAL DEMOGRAPHIC-ANALYSIS AND PROJECTION [J].
CONGDON, P .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 1993, 156 :237-270
[5]   ANALYZING MORTALITY IN LONDON - LIFE-TABLES WITH FRAILTY [J].
CONGDON, P .
STATISTICIAN, 1994, 43 (02) :277-308
[6]   BAYESIAN-INFERENCE FOR GENERALIZED LINEAR AND PROPORTIONAL HAZARDS MODELS VIA GIBBS SAMPLING [J].
DELLAPORTAS, P ;
SMITH, AFM .
APPLIED STATISTICS-JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C, 1993, 42 (03) :443-459
[7]  
FORFAR D.O., 1987, T FACULTY ACTUARIES, V40, P98
[8]  
Forfar D. O., 1988, J I ACTUARIES, V115, P1
[9]   BAYESIAN-ANALYSIS OF CONSTRAINED PARAMETER AND TRUNCATED DATA PROBLEMS USING GIBBS SAMPLING [J].
GELFAND, AE ;
SMITH, AFM ;
LEE, TM .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1992, 87 (418) :523-532
[10]   SAMPLING-BASED APPROACHES TO CALCULATING MARGINAL DENSITIES [J].
GELFAND, AE ;
SMITH, AFM .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1990, 85 (410) :398-409