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5. ESTIMATION OF THE PARAMETERS IN THE BINOMIAL DISTRIBUTION.

Author

Feldman, Dorian and Fox, Martin

Subjects
BINOMIAL distribution, RANDOM variables, DISTRIBUTION (Probability theory), MATHEMATICAL variables, MATHEMATICAL statistics, STATISTICS, BINOMIAL theorem
Abstract

Let X[sub 1], ... X[sub r], be independent B(n,p) random variables. In this paper n is estimated with known p. The MLE is developed and shown to be consistent in a relative sense and asymptotically normal. Motivated by Y[sub i] = X[sub i]/q we consider Y[sub 1], ... ,Y[sub r] independent N(mu, mu) and examine three estimates of mu; (i) the MVUE, (ii) the MLE, and (iii) ?. These are shown to be asymptotically equivalent. [ABSTRACT FROM AUTHOR]

Published
1968
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