Prove that for the hinomial population with density function f (x, p) ="C, p`q" ¯ ', x = 1 , 2,...n. 21. I n - the maximum likelihood estimator for p is~. Find its variance.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 30E
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Prove that for the binomial population with density function
f (x, p) ="C, p`q" - ', x = 1 , 2,...n.
21.
the maximum likelihood estiator for p is . Find its variance.
Transcribed Image Text:Prove that for the binomial population with density function f (x, p) ="C, p`q" - ', x = 1 , 2,...n. 21. the maximum likelihood estiator for p is . Find its variance.
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