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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국자료분석학회 Journal of The Korean Data Analysis Society Journal of The Korean Data Analysis Society 제23권 제1호
- 발행연도
- 2021.1
- 수록면
- 1 - 10 (10page)
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This paper proposes an alternative bivariate negative binomial model based on the Sarmanov family, which is a more general tool than the existing bivariate negative binomial models, such as Marshall, Olkin (1990), in the sense it allows the heterogeneous dispersions and negative correlation between two dependent variables. We also expand the proposed bivariate negative binomial distribution to a regression model. The maximum likelihood estimators for parameters in the proposed model can be easily obtained by the conventional iterative methods like Fisher's scoring algorithm, which is another advantage of our proposal. We apply it to the data of the 1987-1988 National Medical Expenditure Survey (NMES) given by Deb, Trivedi (1997). The empirical result suggests that the proposed model has a performance better than the other bivariate negative binomial model of Marshall, Olkin (1990) in terms of the likelihood and the Akaike information criterion. Furthermore, our proposal can be easily extended to the modeling of bivariate zero inflated count data.
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참고문헌 (18)
참고문헌 신청
Berndt, E. R. / 1974 / Estimation and inference in non-linear structural models / Annals of Economic and Social Measurement 3:653~665
Cameron, A. C. / 1998 / Bivariate count data regression using series expansions : with applications / Journal of Applied Econometrics 12:203~223
Cameron, A. C. / 1998 / Regression Analysis of Count Data / Cambridge University Press
Cameron, A. C. / 2004 / Modelling the differences in counted outcomes using bivariate copula models with application to mismeasured counts / Econometrics Journal 7:566~584
전수영 / 2009 / Tests for independence in a bivariate negative binomial model / Journal of the Korean Statistical Society 38(2):185~190
Cameron, A. C. / 1998 / Bivariate count data regression using series expansions : with applications / Journal of Applied Econometrics 12:203~223
Cameron, A. C. / 1998 / Regression Analysis of Count Data / Cambridge University Press
Cameron, A. C. / 2004 / Modelling the differences in counted outcomes using bivariate copula models with application to mismeasured counts / Econometrics Journal 7:566~584
전수영 / 2009 / Tests for independence in a bivariate negative binomial model / Journal of the Korean Statistical Society 38(2):185~190
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