Bivariate negative binomial distribution of the Marshall-Olkin type

• Autorzy: Ilona Kopocińska
• Języki publikacji: EN

Abstrakty

EN

The bivariate negative binomial distribution is introduced using the Marshall-Olkin type bivariate geometrical distribution. It is used to the estimation of the distribution of the number of accidents in standard data.

Słowa kluczowe

EN

bivariate negative geometrical; negative binomial distribution

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1998-1999
• Tom: 25
• Numer: 4
• Strony: 457-461

Daty

wydano

1999

otrzymano

1998-04-21

Twórcy

autor

Ilona Kopocińska

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliografia

• [1] G. E. Bates and J. Neyman, Contribution to the theory of accident proneness, I. An optimistic model of the correlation between light and severe accidents, Univ. of California Publ. Statist. 1 (1952), 215-254.
• [2] C. B. Edwards and J. Gurland, A class of distributions applicable to accidents, J. Amer. Statist. Assoc. 56 (1961), 503-517.
• [3] B. Kopociński, Bivariate negative binomial distribution based on a bivariate exponential distribution function, to appear.
• [4] A. W. Marshall and I. Olkin, A multivariate exponential distribution, J. Amer. Statist. Assoc. 62 (1967), 30-44.
• [5] K. Subrahmaniam and K. Subrahmaniam, On the estimation of the parameters in the bivariate negative binomial distribution, J. Roy. Statist. Assoc. 35 (1973), 131-146.