References
- Aczél , J. 1969 . On applications and theory of functional equations , New York : Academic Press .
- Bowers , N. L. , Gerber , H. U. , Hickman , J. C. , Jones , D. A. and Nesbitt , C. J. 1986 . Actuarial mathematics , Chicago : Society of Actuaries .
- McGroot , M. H. 1970 . Optimal statistical decisions , New York : McGraw-Hill .
- Denneberg , D. 1990 . Premium calculation: Why standard deviation should be replaced by absolute deviation . ASTIN Bull. , 20 : 181 – 190 .
- Denneberg , D. 1994a . Conditioning (updating) non-additive measures . Annals of Operations Research , 52 : 21 – 42 .
- Denneberg , D. 1994b . Non-additive measure and integral , Dordrecht : Kluwer Academic Publishers .
- Gilboa , I. 1987 . Expected utility theory with purely subjective non-additive probabilities . J. Math. Econ. , 16 : 65 – 88 .
- Gilboa , I. and Schmeidler , D. 1993 . Updating ambiguous beliefs . Journal of Economc Theory , 59 : 33 – 49 .
- Schmeidler , D. 1989 . Subjective probability and expected utility without additivity . Econometrica , 57 : 571 – 587 .
- Venter , G. G. 1991 . Premium calculation implications of reinsurance without arbitrage . ASTIN Bull. , 21 : 223 – 230 .
- von Neumann , J. and Morgenstern , O. 1947 . Theory of games and economic behavior , second edition , Princeton , New Jersey : Princeton University Press .
- Wakker , P. 1989 . Continuous subjective expected utility with non-additive probabilities . J. Math. Econ. , 18 : 1 – 17 .
- Walker , A. M. 1969 . On the asymptotic behaviour of posterior distributions . Journal of the Royal Statistical Society , 31 : 80 – 88 . Series B
- Wang , S. 1995 . Insurance pricing and increased limits ratemaking by proportional hazards transforms . Insurance: Math. Econ. , 17 : 43 – 54 .
- Wang , S. 1996a . Premium calculation by transforming the layer premium density . ASTIN Bull. , 26 : 71 – 92 .
- Wang , S. 1996b . Ambiguity-aversion and the economics of insurance, discussion paper for the 1996 Risk Theory Seminar , University of Wisconsin-Madison .
- Wang , S. , Young , V. R. and Panjer , H. H. 1997 . Axiomatic characterization of insurance prices . Insurance: Math. Econ. , 21 ( 2 ) : 173 – 183 .
- Yaari , M. E. 1987 . The dual theory of choice under risk . Econometrica , 55 : 95 – 115 .
- Young , V. R. and Wang , S. 1998 . Updating non-additive measures with fuzzy information . Fuzzy Sets and Systems , 94 : 355 – 366 .