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ArticleOriginal scientific text

Title

Bivariate negative binomial distribution of the Marshall-Olkin type

Authors 1

Affiliations

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

Abstract

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.

Keywords

ENG
bivariate negative geometrical, negative binomial distribution

Bibliography

  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.
Applicationes Mathematicae
1998-1999/25/4
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Pages:
457-461
Main language of publication
English
Received
1998-04-21
Published
1999
Exact and natural sciences