Summary
The minimum variance unbiased estimation for the zero class truncated bivariate Poisson and logarithmic series distributions is discussed. The distribution of a suitable complete and sufficient statistic is obtained in each case. These distributions, as well as the corresponding minimum variance unbiased estimators have been expressed in terms of certain polynomials with coefficients Stirling numbers.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Charalambides, Ch.A.: Bivariate generalized discrete distributions and bipartitional polynomials. Statistical Distributions in Scientific Work, Vol. 4. Ed. by C. Taillie, G.P. Patil, and B. Baldessari. Dordrecht 1981, 213–223.
Dahiya, R.C.: Estimation in a truncated bivariate Poisson distribution. Commun. Statist. — Theor. Meth.A6, 1977, 113–120.
Hamdan, M.A.: Estimation in the truncated bivariate Poisson distribution. Technometrics14, 1972, 33–45.
Patel, S.R., andS.M. Shah: Minimum variance unbiased estimation of left truncated multivariate power series distributions. Metrika25, 1978, 209–218.
Patel, G.P.: On multivariate generalized power series distribution and its application to the multinomial and negative multinomial. Sankhyà A28, 1966, 225–238.
Patil, S.A., D.I. Patel, andJ.L. Kovner: On bivariate truncated Poisson distribution. J. Statist. Comput. Simul.6, 1977, 49–66.
Riordan, J.: An Introduction to Combinatorial Analysis. New York 1958.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Charalambides, C.A. Minimum variance unbiased estimation for the zero class truncated bivariate poisson and logarithmic series distributions. Metrika 31, 115–123 (1984). https://doi.org/10.1007/BF01915193
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF01915193