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Volumn 55, Issue 1, 2014, Pages 18-29

Multivariate negative binomial models for insurance claim counts

Author keywords

Copula; Insurance claim count; Jitter; Multivariate model; Negative binomial distribution

Indexed keywords


EID: 84890883878     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.insmatheco.2013.11.011     Document Type: Article
Times cited : (72)

References (38)
  • 1
    • 0040647877 scopus 로고
    • The multivariate Poisson-log normal distribution
    • Aitchison J., Ho C. The multivariate Poisson-log normal distribution. Biometrika 1989, 76(4):643-653.
    • (1989) Biometrika , vol.76 , Issue.4 , pp. 643-653
    • Aitchison, J.1    Ho, C.2
  • 2
    • 78650604560 scopus 로고    scopus 로고
    • Bayesian multivariate Poisson models for insurance ratemaking
    • Bermúdez L., Karlis D. Bayesian multivariate Poisson models for insurance ratemaking. Insurance Math. Econom. 2011, 48(2):226-236.
    • (2011) Insurance Math. Econom. , vol.48 , Issue.2 , pp. 226-236
    • Bermúdez, L.1    Karlis, D.2
  • 3
    • 70449337768 scopus 로고    scopus 로고
    • Models of insurance claim counts with time dependence based on generalisation of Poisson and negative binomial distributions
    • Boucher J., Denuit M., Guillén M. Models of insurance claim counts with time dependence based on generalisation of Poisson and negative binomial distributions. Variance 2008, 2(1):135-162.
    • (2008) Variance , vol.2 , Issue.1 , pp. 135-162
    • Boucher, J.1    Denuit, M.2    Guillén, M.3
  • 5
    • 7044235252 scopus 로고    scopus 로고
    • Constraints on concordance measures in bivariate discrete data
    • Denuit M., Lambert P. Constraints on concordance measures in bivariate discrete data. J. Multivariate Anal. 2005, 93(1):40-57.
    • (2005) J. Multivariate Anal. , vol.93 , Issue.1 , pp. 40-57
    • Denuit, M.1    Lambert, P.2
  • 6
    • 0042099270 scopus 로고
    • Compound Poisson distributions: properties and estimation
    • Dey D., Chung Y. Compound Poisson distributions: properties and estimation. Comm. Statist. Theory Methods 1992, 21(11):3097-3121.
    • (1992) Comm. Statist. Theory Methods , vol.21 , Issue.11 , pp. 3097-3121
    • Dey, D.1    Chung, Y.2
  • 8
    • 78049264576 scopus 로고    scopus 로고
    • Actuarial applications of a hierarchical insurance claims model
    • Frees E.W., Shi P., Valdez E.A. Actuarial applications of a hierarchical insurance claims model. ASTIN Bull. 2009, 39(1):165-197.
    • (2009) ASTIN Bull. , vol.39 , Issue.1 , pp. 165-197
    • Frees, E.W.1    Shi, P.2    Valdez, E.A.3
  • 9
    • 77952672260 scopus 로고    scopus 로고
    • Hierarchical insurance claims modeling
    • Frees E.W., Valdez E.A. Hierarchical insurance claims modeling. J. Amer. Statist. Assoc. 2008, 103(484):1457-1469.
    • (2008) J. Amer. Statist. Assoc. , vol.103 , Issue.484 , pp. 1457-1469
    • Frees, E.W.1    Valdez, E.A.2
  • 10
    • 37349025545 scopus 로고    scopus 로고
    • A primer on copulas for count data
    • Genest C., Nešlehová J. A primer on copulas for count data. ASTIN Bull. 2007, 37(2):475-515.
    • (2007) ASTIN Bull. , vol.37 , Issue.2 , pp. 475-515
    • Genest, C.1    Nešlehová, J.2
  • 11
    • 0001300935 scopus 로고
    • Pseudo maximum likelihood methods: theory
    • Gourieroux C., Monfort A., Trognon A. Pseudo maximum likelihood methods: theory. Econometrica 1984, 52(3):681-700.
    • (1984) Econometrica , vol.52 , Issue.3 , pp. 681-700
    • Gourieroux, C.1    Monfort, A.2    Trognon, A.3
  • 12
    • 84935670624 scopus 로고
    • Econometric models for count data with an application to the patents-r&d relationship
    • Hausman J., Hall B., Griliches Z. Econometric models for count data with an application to the patents-r&d relationship. Econometrica 1984, 52(4):909-938.
    • (1984) Econometrica , vol.52 , Issue.4 , pp. 909-938
    • Hausman, J.1    Hall, B.2    Griliches, Z.3
  • 13
    • 0001370079 scopus 로고
    • Parametric families of multivariate distributions with given margins
    • Joe H. Parametric families of multivariate distributions with given margins. J. Multivariate Anal. 1993, 46(2):262-282.
    • (1993) J. Multivariate Anal. , vol.46 , Issue.2 , pp. 262-282
    • Joe, H.1
  • 15
    • 0030140587 scopus 로고    scopus 로고
    • Multivariate distributions from mixtures of max-infinitely divisible distributions
    • Joe H., Hu T. Multivariate distributions from mixtures of max-infinitely divisible distributions. J. Multivariate Anal. 1996, 57(2):240-265.
    • (1996) J. Multivariate Anal. , vol.57 , Issue.2 , pp. 240-265
    • Joe, H.1    Hu, T.2
  • 17
    • 0005826791 scopus 로고
    • Multiple regression analysis of a Poisson process
    • Jorgenson D. Multiple regression analysis of a Poisson process. J. Amer. Statist. Assoc. 1961, 56(294):235-245.
    • (1961) J. Amer. Statist. Assoc. , vol.56 , Issue.294 , pp. 235-245
    • Jorgenson, D.1
  • 18
    • 26644439056 scopus 로고    scopus 로고
    • Multivariate Poisson regression with covariance structure
    • Karlis D., Meligkotsidou L. Multivariate Poisson regression with covariance structure. Stat. Comput. 2005, 15(4):255-265.
    • (2005) Stat. Comput. , vol.15 , Issue.4 , pp. 255-265
    • Karlis, D.1    Meligkotsidou, L.2
  • 21
    • 80052804095 scopus 로고    scopus 로고
    • Joint regression analysis for discrete longitudinal data
    • Madsen L., Fang Y. Joint regression analysis for discrete longitudinal data. Biometrics 2011, 67(3):1171-1175.
    • (2011) Biometrics , vol.67 , Issue.3 , pp. 1171-1175
    • Madsen, L.1    Fang, Y.2
  • 24
    • 63249133250 scopus 로고    scopus 로고
    • Multivariate logit copula model with an application to dental data
    • Nikoloulopoulos A., Karlis D. Multivariate logit copula model with an application to dental data. Stat. Med. 2008, 27(30):6393-6406.
    • (2008) Stat. Med. , vol.27 , Issue.30 , pp. 6393-6406
    • Nikoloulopoulos, A.1    Karlis, D.2
  • 26
    • 84860882141 scopus 로고    scopus 로고
    • Multivariate longitudinal modeling of insurance company expenses
    • Shi P. Multivariate longitudinal modeling of insurance company expenses. Insurance Math. Econom. 2012, 51(1):204-215.
    • (2012) Insurance Math. Econom. , vol.51 , Issue.1 , pp. 204-215
    • Shi, P.1
  • 27
    • 78049237644 scopus 로고    scopus 로고
    • Long-tail longitudinal modeling of insurance company expenses
    • Shi P., Frees E. Long-tail longitudinal modeling of insurance company expenses. Insurance Math. Econom. 2010, 47(3):303-314.
    • (2010) Insurance Math. Econom. , vol.47 , Issue.3 , pp. 303-314
    • Shi, P.1    Frees, E.2
  • 28
    • 84855170629 scopus 로고    scopus 로고
    • Dependent loss reserving using copulas
    • Shi P., Frees E. Dependent loss reserving using copulas. ASTIN Bull. 2011, 41(2):449-486.
    • (2011) ASTIN Bull. , vol.41 , Issue.2 , pp. 449-486
    • Shi, P.1    Frees, E.2
  • 29
    • 79956199961 scopus 로고    scopus 로고
    • A copula approach to test asymmetric information with applications to predictive modeling
    • Shi P., Valdez E.A. A copula approach to test asymmetric information with applications to predictive modeling. Insurance Math. Econom. 2011, 49(2):226-239.
    • (2011) Insurance Math. Econom. , vol.49 , Issue.2 , pp. 226-239
    • Shi, P.1    Valdez, E.A.2
  • 30
    • 84890868228 scopus 로고    scopus 로고
    • Longitudinal modeling of insurance claim counts using jitters
    • (published online)
    • Shi P., Valdez E.A. Longitudinal modeling of insurance claim counts using jitters. Scand. Actuar. J. 2012, (published online).
    • (2012) Scand. Actuar. J.
    • Shi, P.1    Valdez, E.A.2
  • 31
    • 84870062446 scopus 로고    scopus 로고
    • Testing adverse selection with two-dimensional information: evidence from the Singapore auto insurance market
    • Shi P., Zhang W., Valdez E. Testing adverse selection with two-dimensional information: evidence from the Singapore auto insurance market. J. Risk Insurance 2012, 79(4):1077-1114.
    • (2012) J. Risk Insurance , vol.79 , Issue.4 , pp. 1077-1114
    • Shi, P.1    Zhang, W.2    Valdez, E.3
  • 32
    • 0034901845 scopus 로고    scopus 로고
    • Bayesian multivariate Poisson regression
    • Tsionas E. Bayesian multivariate Poisson regression. Comm. Statist. Theory Methods 2001, 30(2):243-255.
    • (2001) Comm. Statist. Theory Methods , vol.30 , Issue.2 , pp. 243-255
    • Tsionas, E.1
  • 33
    • 0033458332 scopus 로고    scopus 로고
    • A general method to estimate correlated discrete random variables
    • van Ophem H. A general method to estimate correlated discrete random variables. Econometric Theory 1999, 15(2):228-237.
    • (1999) Econometric Theory , vol.15 , Issue.2 , pp. 228-237
    • van Ophem, H.1
  • 34
    • 0000646447 scopus 로고
    • Likelihood ratio tests for model selection and non-nested hypotheses
    • Vuong Q. Likelihood ratio tests for model selection and non-nested hypotheses. Econometrica 1989, 57(2):307-333.
    • (1989) Econometrica , vol.57 , Issue.2 , pp. 307-333
    • Vuong, Q.1
  • 35
    • 0034415442 scopus 로고    scopus 로고
    • Seemingly unrelated negative binomial regression
    • Winkelmann R. Seemingly unrelated negative binomial regression. Oxford Bull. Econ. Stat. 2000, 62(4):553-560.
    • (2000) Oxford Bull. Econ. Stat. , vol.62 , Issue.4 , pp. 553-560
    • Winkelmann, R.1
  • 37
    • 77949268265 scopus 로고    scopus 로고
    • Applying copula models to individual claim loss reserving methods
    • Zhao X., Zhou X. Applying copula models to individual claim loss reserving methods. Insurance Math. Econom. 2010, 46(2):290-299.
    • (2010) Insurance Math. Econom. , vol.46 , Issue.2 , pp. 290-299
    • Zhao, X.1    Zhou, X.2
  • 38
    • 30744440055 scopus 로고    scopus 로고
    • Using trivariate copulas to model sample selection and treatment effects: application to family health care demand
    • Zimmer D., Trivedi P. Using trivariate copulas to model sample selection and treatment effects: application to family health care demand. J. Bus. Econom. Statist. 2006, 24(1):63-76.
    • (2006) J. Bus. Econom. Statist. , vol.24 , Issue.1 , pp. 63-76
    • Zimmer, D.1    Trivedi, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.