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Media type:
E-Article
Title:
Estimation of the Parameter n in the Binomial Distribution
Contributor:
Feldman, Dorian;
Fox, Martin
Published:
American Statistical Association, 1968
Published in:
Journal of the American Statistical Association, 63 (1968) 321, Seite 150-158
Language:
English
ISSN:
0162-1459
Origination:
Footnote:
Description:
Let X<sub>1</sub>, ⋯ X<sub>r</sub> 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</sub> = X<sub>i</sub>/q we consider Y<sub>1</sub>,⋯, Y<sub>r</sub> independent N(μ,μ) and examine three estimates of μ; (i) the MVUE, (ii) the MLE, and (iii) Ȳ. These are shown to be asymptotically equivalent.