Accession Number:

ADA059657

Title:

Maximum Likelihood Estimation for a Class of Multinomial Distributions Arising in Reliability.

Descriptive Note:

Interim rept.,

Corporate Author:

CALIFORNIA UNIV DAVIS DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1978-07-01

Pagination or Media Count:

21.0

Abstract:

Let X sub i, i1,..., k be independent Bernoulli random variables with potentially different probabilities of success p sub i, i-1,..., k. This situation is denoted by X sub i approx B1,pi, i1,...,k. Let Y sub over i 1 to k of X sub i and assume that a random sample Y1, Y2, ..., Yn is available. The common distribution of these Ys is the k-fold convolution to be denoted i 1 to k. This note concerns the estimation of the parameters of this convolution based on the Y sample via the method of maximum likelihood.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE