Let X1, ..., Xn be a sample from a binomial random variable with known parameter n and unknown parameter p. (a) Find the maximum likelihood estimator for p. (b) Is the estimator unbiased? (c) Is the estimator consistent?

Let X1, ..., Xn be a sample from a binomial random variable with known parameter n and unknown parameter p. (a) Find the maximum likelihood estimator for p. (b) Is the estimator unbiased? (c) Is the estimator consistent?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let X1, ..., Xn be a sample from a binomial random variable with known parameter n and unknown parameter p.
(a) Find the maximum likelihood estimator for p.
(b) Is the estimator unbiased?
(c) Is the estimator consistent?

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