Accession Number : AD0737243

Title :   On a Class of Multivariate Birth and Death Processes.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Patil,G. P. ; Boswell,M. T.

Report Date : JAN 1972

Pagination or Media Count : 13

Abstract : The paper studies the class of birth and death processes whose birth and death rates factor into a function of the sizes of the population components and a function of time. General results are obtained for bith processes along with a characterization theorem. Partial results are obtained for birth and death processes. Both these processes have special cases yielding the multinomial, multiple Poisson, and the negative multinomial distributions. (Author)

Descriptors :   (*STATISTICAL PROCESSES, MULTIVARIATE ANALYSIS), STOCHASTIC PROCESSES, POPULATION(MATHEMATICS), DISTRIBUTION FUNCTIONS, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE