Regression models for bivariate count outcomes

被引:31
作者
Xu, Xinling [1 ]
Hardin, James W. [1 ]
机构
[1] Univ S Carolina, Dept Epidemiol & Biostat, Columbia, SC 29208 USA
关键词
st0433; bivcnto; copula function; correlated count data; Poisson; negative binomial; Famoye bivariate Poisson regression; Marshall-Olkin bivariate negative binomial regression; Famoye bivariate negative binomial regression; Famoye bivariate generalized Poisson regression; general bivariate count regression; NEGATIVE BINOMIAL REGRESSION; DISTRIBUTIONS;
D O I
10.1177/1536867X1601600203
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
We present a new command, bivcnto, for fitting regression models suitable for analyzing correlated count outcomes. bivcnto allows specification of two correlated count outcomes with either two outcome-specific covariate lists or one common covariate list and fits models using a copula function approach in the general case or using specific parameterizations by Marshall and Olkin (1985, Journal of the American Statistical Association 80: 332-338) or Famoye (2010a, Journal of Applied Statistics 37: 969-981; 2010b, Statistica Neerlandica 64: 112-124). bivcnto also calculates a likelihood-ratio test comparing the joint model with estimation of two independent outcome-specific models.
引用
收藏
页码:301 / 315
页数:15
相关论文
共 15 条
[11]   A FAMILY OF BIVARIATE DISTRIBUTIONS GENERATED BY THE BIVARIATE BERNOULLI DISTRIBUTION [J].
MARSHALL, AW ;
OLKIN, I .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1985, 80 (390) :332-338
[12]   Modelling soccer matches using bivariate discrete distributions with general dependence structure [J].
McHale, Ian ;
Scarf, Phil .
STATISTICA NEERLANDICA, 2007, 61 (04) :432-445
[13]  
Saklar A., 1959, FONCTIONS REPARTITIO, V8, P229
[14]  
Sklar A., 1973, Kybernetika, V9, P449
[15]   A general method to estimate correlated discrete random variables [J].
van Ophem, H .
ECONOMETRIC THEORY, 1999, 15 (02) :228-237