Modeling and Evaluating Insurance Losses Via Mixtures of Erlang Distributions

North American Actuarial Journal - Tập 14 Số 1 - Trang 107-130 - 2010
Simon C. K. Lee1, X. Sheldon Lin2
1Silen Trading and Consulting Inc.
2Department of Statistics , University of Toronto , Toronto, Ontario, M5S 3G3, Canada

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Tài liệu tham khảo

Asmussen S., 1996, Scandinavian Journal of Statistics, 23, 419

Billingsley P., 1995, Probability and Measure., 3

Box G. E. P., 1987, Empirical Model-Building and Response Surfaces

Chakravarti , I. M. , Laha , R. G. and Roy , J. 1967 .Handbook of Methods of Applied Statistics, vol. I , 392 – 394 . Hoboken, NJ : John Wiley and Sons .

Dempster A. P., 1977, Journal of the Royal Statistical Society, Series B (Methodological), 39, 1, 10.1111/j.2517-6161.1977.tb01600.x

DiCkson D. C. M., 2005, Astin Bulletin, 36, 45, 10.2143/AST.35.1.583165

Dufresne D., 2007, Applied Stochastic Models in Business and Industry, 23, 23, 10.1002/asmb.635

Dufresne F., 1991, Insurance: Mathematics and Economics, 10, 51, 10.1016/0167-6687(91)90023-Q

Gerber H., 1987, ASTIN Bulletin, 17, 151, 10.2143/AST.17.2.2014970

Keatinge C. L., 1999, Proceedings of the Casualty Actuarial Society, 86, 654

Klugman S., 2008, Loss Models: From Data to Decision., 3, 10.1002/9780470391341

Klugman S., 2006, North American Actuarial Journal, 10, 63, 10.1080/10920277.2006.10596240

Law A. M., 1995, Interfaces, 285, 214

Lin X. S., 2008, Insurance: Mathematics and Economics, 44, 287, 10.1016/j.insmatheco.2008.04.002

Lin X. S., 2000, Insurance: Mathematics and Economics, 27, 19, 10.1016/S0167-6687(00)00038-X

RaChid A.-K., 2003, Performance Evaluation, 52, 175, 10.1016/S0166-5316(02)00179-7

Riska A., 2002, Aggregate Matrix-Analytic Techniques and Their Applications

Smith M. R., 1967, Technometrics, 18, 467, 10.1080/00401706.1976.10489479

Thummler A., 2006, IEEE Transactions on Dependable and Secure Computing, 3, 245, 10.1109/TDSC.2006.27

Tijms H., 1994, Stochastic Models: An Algorithm Approach

Wang J. F., 2006, Journal of Supercomputing, 38, 155, 10.1007/s11227-006-7944-7

Willmot G. E., 2001, Lundberg Approximations for Compound Distributions with Insurance Applications, 10.1007/978-1-4613-0111-0

Willmot G. E., 2007, North American Actuarial Journal, 11, 99, 10.1080/10920277.2007.10597450