On maximum likelihood estimation for count data models
Tài liệu tham khảo
Bardwell, 1964, A two-parameter family of hyper-Poisson distributions, J. of the Amer. Stat. Assoc., 59, 133, 10.2307/2282864
Bühlmann, 1984, Numerical evaluation of the compound Poisson distribution: Recursion of Fast Fourier Transform?, Scand. Actuarial Journal, 116, 10.1080/03461238.1984.10413759
Chan, 1982, Recursive formulas for discrete distributions, Insurance: Mathematics and Economics, 1, 241, 10.1016/0167-6687(82)90022-1
Engen, 1974, On species frequency models, Biometrika, 51, 263, 10.1093/biomet/61.2.263
Feller, 1968, Vol. 1
Giffin, 1975
Gossiaux, 1981, Méthodes d'ajustement de distributions de sinistres, Bull. Assoc. Swiss Actuaries, 87
Hürlimann, 1988, An elementary proof of the Andelson—Panjer recursion formula, Insurance: Mathematics and Economics, 7, 39, 10.1016/0167-6687(88)90094-7
Jewell, 1981, Further results on recursive evaluation of compound distributions, ASTIN Bulletin, 12, 27, 10.1017/S0515036100006802
Johnson, 1969
Katti, 1968, Infinite divisibility of integer-valued random variables, Annals of Math. Statistics, 38, 1306, 10.1214/aoms/1177698807
Katti, 1970, The log-zero-Poisson distribution, Biometrics, 26, 801, 10.2307/2528725
Kestemont, 1985, Sur l'ajustement du nombre de sinistres, Bull. Assoc. Swiss Actuaries, 157
Kestemont, 1987
Lamber, 1984, Asymptotic properties of maximum likelihood estimates in the mixed Poisson model, The Annals of Statistics, 12, 1388, 10.1214/aos/1176346799
Panjer, 1988
Ruohonen, 1988, A model for the claim number process, ASTIN Bulletin, 18, 10.2143/AST.18.1.2014960
Steutel, 1970, Preservation of infinite divisibility under mixing and related topics, Math. Centre Tracts, 33
Van Harn, 1978, Classifying infinitely divisible distributions by functional equations, Math. Centre Tracts, 103
Willmot, 1987, On the probabilities of the log-zero Poisson distribution, The Canadian J. of Statistics, 15, 293, 10.2307/3314919
Willmot, 1988, Sundt and Jewell's family of discrete distributions, ASTIN Bulletin, 18, 10.2143/AST.18.1.2014957