Список литературы

 

Allais M. (1953). Le comportement de l'homme rationnel devant le risque: critique des postulats et axiomes de l'Ecole Americaine, Econometrica, 21, 503-546.

Alting von Geusau B. J. J. (1989). The application of additive and multiplicative General Linear Interactive Models (GLIM) in health insurance, XXI ASTIN Colloquium, New York.

 

Beard R. E., Pentikainen T., Pesonen E. (1977, 1984). Risk theory, Chapman and Hall, London.

Beekman J. A. (1964). Two stochastic processes, Halsted Press, New York.

Bichsel F. (1964). Erfahrungs-Tarifierung in der Motorfahrzeughaftplicht-Versicherung, Mitteilungen der Vereinigung Schweizerischer Versicherung-smathematiker, 64, 119-130.

Borch K. (1968). The economics of uncertainty, Princeton University Press, Princeton.

Borch K. (1974). The mathematical theory of insurance, Lexington Books, Toronto.

Bowers N. L., Gerber H. U., Hickman J. C., Jones D. A., Nesbitt С J. (1986, 1997). Actuarial mathematics, Society of Actuaries, Itasca, Illinois. [Имеется перевод: Бауэрс Н., Гербер Х., Джонс Д., Несбитт С., Хик-ман Дж. Актуарная математика, М., Янус-К, 2001.]

Buhlmann H. (1967). Experience rating and credibility I, ASTIN Bulletin, 4, 199-207.

Buhlmann H. (1969). Experience rating and credibility II, ASTIN Bulletin, 5, 157-165.

Buhlmann H.  (1970). Mathematical methods in risk theory, Springer-Verlag, Berlin. Buhlmann H., Gagliardi B., Gerber H. U., Straub E. (1977). Some inequ

lities for stop-loss premiums, ASTIN Bulletin, 9, 169-177.

Buhlmann H. (1985). Premium calculation from top down, ASTIN Bulletin, 15, 89-101.

 

Cramer H. (1930). On the mathematical theory of risk, Skandia Jubilee Volume, Stockholm.

Cramer H. (1955). Collective risk theory, a survey of the theory from the point of view of stochastic processes, Skandia Jubilee Volume, Stockholm.

 

Dannenburg D. R., Kaas R., Goovaerts M. J. (1996). Practical actuarial credibility models, Institute of Actuarial Science, Amsterdam.

Dannenburg D. R. (1996). Basic actuarial credibility models — Evaluations and extensions, Ph.D. Thesis, Thesis/Tinbergen Institute, Amsterdam.

De Pril N. (1986). On the exact computation of the aggregate claims distribution in the individual life model, ASTIN Bulletin, 16, 109-112.

De Vijlder F. (1996). Advanced risk theory, a self-contained introduction, Editions de l'Universite de Bruxelles, Brussels.

De Vijlder F., Goovaerts M. J. (eds.) (1979). Proceedings of the first meeting of the contact group Actuarial Sciences, Wettelijk Depot D/l979/2376/5, Leuven.

Denuit M., Dhaene J., Van Wouwe M. (1999). The economics of insurance: a review and some recent developments, Mitteilungen der Vereinigung Schweizerischer Versicherungsmathematiker, 99, 137-175.

Denuit M., Dhaene J. (2001). Bonus-malus scales using exponential loss functions, Blatter der Deutsche Gesellschaft fur Versicherungsmathema-tik, 25, 13-27.

De Wit G. W. et al. (1982). New motor rating structure in the Netherlands, ASTIN-groep Nederland.

Dhaene J., De Pril N. (1994). On a class of approximative computation methods in the individual risk model, Insurance: Mathematics and Economics, 14, 181-196.

Dhaene J., Denuit M., Goovaerts M. J., Kaas R., Vyncke D. (2002a). The concept of comonotonicity in actuarial science and finance theory, Insurance: Mathematics and Economics, 31, No. 1, 3-33.

Dhaene J., Denuit M., Goovaerts M. J., Kaas R., Vyncke D. (2002b). The concept of comonotonicity in actuarial science and finance: Applications, Insurance: Mathematics and Economics, 31, No. 2, 133-161.

Doray L. G. (1996). UMVUE of the IBNR Reserve in a lognormal linear regression model, Insurance: Mathematics and Economics, 18, 43-58.

 

Embrechts P., Kluppelberg C., Mikosch T. (1997). Modelling extremal events for insurance and finance, Springer-Verlag, Berlin.

 

Francis P., Green M., Payne С (eds.) (1993). The GLIM System: Generalized Linear Interactive Modelling, Oxford University Press, Oxford.

Frangos N., Vrontos S. (2001). Design of optimal bonus-malus systems with a frequency and a severity component on an individual basis in automobile insurance, ASTIN Bulletin, 31, 5-26.

 

Gerber H. U. (1979). An introduction to mathematical risk theory, Hueb-ner Foundation Monograph 8, distributed by Richard D. Irwin, Homewood Illinois.

Gerber H. U. (1985). On additive principles of zero utility, Insurance: Mathematics and Economics, 4, 249-252.

Gerber H. U. (1989). From the convolution of uniform distributions to the probability of ruin, Mitteilungen der Vereinigung Schweizerischer Versich-erungsmathematiker, 89, 249-252.

Goovaerts M. J., De Vijlder F. (1984). A stable recursive algorithm for evaluation of ultimate ruin probabilities, ASTIN Bulletin, 14, 53-60.

Goovaerts M. J., De Vijlder F., Haezendonck J. (1984). Insurance premiums, North-Holland, Amsterdam.

Goovaerts M. J., Dhaene J. (1998). On the characterization of Wang's class of premium principles, Transactions of the 26th International Congress of Actuaries, 4, 121-134.

Goovaerts M. J., KaasR., Van Heerwaarden A. E., Bauwelinckx T. (1990). Effective actuarial methods, North-Holland, Amsterdam.

Goovaerts M. J., Redant R. (1999). On the distribution of IBNR reserves, Insurance: Mathematics and Economics, 25, 1-9.

 

Heilmann W.-R. (1988). Fundamentals of risk theory, Verlag Versicherung-swirtschaft e.V., Karlsruhe.

Hogg R. V., Klugman S. A. (1984). Loss distributions, Wiley, New York.

 

Kaas R., Van Heerwaarden A. E., Goovaerts M. J. (1994). Ordering of actuarial risks, Caire Education Series, Amsterdam.

Karlin S., Studden W. J. (1966). Tchebycheff systems with applications in analysis and statistics, Interscience Publishers, Wiley, New York. [Имеется перевод: Карлин С., Стадден В. Чебышевские системы и их применения в анализе и статистике. М. Наука, 1976.]

 

Lemaire J. (1985). Automobile insurance: actuarial models, Kluwer, Dordrecht. [Имеется перевод: Лемер Ж. Автомобильное страхование. Актуарные модели. 2-е изд. М. Янус-К, 2003.]

Loimaranta K. (1972). Some asymptotic properties of bonus systems, ASTIN Bulletin, 6, 233-245.

Lundberg F. (1909). Uber die Theorie der Ruckversicherung, Transactions of the first International Congress of Actuaries, 2, 877-955.

Lundberg O. (1940). On random processes and their applications to sickness and accidents statistics, Inaugural Dissertation, Uppsala.

 

Mack T. (1993). Distribution-free calculation of the standard error of chain ladder reserve estimates, ASTIN Bulletin, 23, 213-225.

McCullagh P., Nelder J. A. (1989). Generalized Linear Models, Chapman and Hall, London.

Mowbray A. H. (1914). How extensive a payroll exposure is necessary to give a dependable pure premium, Proceedings of the Casualty Actuarial Society, 1, 24-30.

 

Nelder J. A., Wedderburn, R. W. M. (1972). Generalized Linear Models, Journal of the Royal Statistical Society, A, 135, 370-384. Norberg R. (1976). A credibility theory for automobile bonus systems, Scandinavian Actuarial Journal, 92-107.

 

Panjer H. H. (1981). Recursive evaluation of a family of compound distributions, ASTIN Bulletin, 12, 22-26.

 

Rolski T., Schmidli H., Schmidt V., Teugels J. (1998). Stochastic Processes for Insurance and Finance, Wiley, Chichester.

 

Searle S. R., Casella G., McCulloch C. E. (1992). Variance components, Wiley, New York.

Seal H. L. (1969). Stochastic theory of a risk business, Wiley, New York.

Shaked M., Shanthikumar J. G. (1994). Stochastic orders and their applications, Academic Press, New York.

Stoyan D. (1983). Comparison methods for queues and other stochastic models, Wiley, New York.

Sundt B. (1999). An introduction to non-life insurance mathematics, 4th edition, Verlag Versicherungswirtschaft GmbH, Karlsruhe.

Sundt B., Jewell W. S. (1981). Further results of recursive evaluation of compound distributions, ASTIN Bulletin, 12, 27-39.

 

Taylor G. C. (1986). Claims reserving in non-life insurance, North-Holland, Amsterdam.

Ter Berg P. (1980a). On the loglinear Poisson and Gamma model, ASTIN Bulletin, 11, 35-40.

Ter Berg P. (1980b). Two pragmatic approaches to loglinear claim cost analysis, ASTIN Bulletin, 11,77-90.

Ter Berg P. (1994). Deductibles and the Inverse Gaussian distribution, ASTIN Bulletin, 24, 319-323.

 

Van Eeghen J., Greup E. K., Nijssen J. A. (1983). Rate making, Nationale-Nederlanden N.V., Rotterdam.

Van Heerwaarden A. E. (1991). Ordering of risks — Theory and actuarial applications, Thesis Publishers, Amsterdam.

Verbeek H. G. (1972). An approach to the analysis of claims experience in motor liability excess of loss reinsurance, ASTIN Bulletin, 6,195-202.

Verrall R. (1996). Claims reserving and generalized additive models, Insurance: Mathematics and Economics, 19, 31—43.

Verrall R. (2000). An investigation into stochastic claims reserving models and the chain-ladder technique, Insurance: Mathematics and Economics, 26, 91-99.

Von Neumann J., Morgenstern O. (1944). Theory of games and economic behavior, Princeton University Press, Princeton.

 

Wang S. (1996). Premium calculation by transforming the layer premium density, ASTIN Bulletin, 26, 71-92.

Wang S., Young V. (1998). Ordering risks: expected utility theory versus Yaari's dual theory of risk, Insurance: Mathematics and Economics, 22, 145-161.

Wason S. et al. (2001). Draft report of solvency working party, prepared for IAA Insurance Regulation Committee, unpublished. Whitney A.W. (1918). The theory of experience rating, Proceedings of the Casualty Actuarial Society, 4, 274-292.

 

Yaari M. E. (1987). The dual theory of choice under risk, Econometrica, 55, 95-115.

 

Литература, добавленная при переводе

 

Айвазян С. А., Енюков И. С., Мешалкин Л. Д. (1983). Прикладная статистика: основы моделирования и первичная обработка данных, М., Финансы и статистика.

Айвазян С. А., Енюков И. С., Мешалкин Л. Д. (1985). Прикладная статистика: исследование зависимостей, М., Финансы и статистика.

Андерсон Т. (1963). Введение в многомерный статистический анализ, М., Физматгиз.

Золотарев В. М. (1986). Современная теория суммирования независимых случайных величин, М., Наука.

Кендалл М., Стюарт А. (1966). Теория распределений, М., Наука.

Кендалл М., Стюарт А. (1973). Статистические выводы и связи, М., Наука.

Кендалл М., Стюарт А. (1976). Многомерный статистический анализ и временные ряды, М., Наука.

Крамер Г. (1975). Математические методы статистики. 2-е изд., М., Мир.

Лемер Ж. (2003). Системы бонус-малус в автомобильном страховании. 2-е изд., М., Янус-К.

Линник Ю. В. (1962). Методы наименьших квадратов и основы мате-матико-статистической теории обработки наблюдений. 2-е изд., ис-правл., доп., М., Физматгиз.

Рао С. Р. (1968). Линейные статистические методы и их применения, М., Наука.

Феллер В. (1967). Введение в теорию вероятностей и ее приложения. Т. 2, М., Мир.

Шеффе Г. (1980). Дисперсионный анализ, М., Наук