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7.4.1 WP SS VS Let X be a geometric random variable with parameter p. Find the maximum likelihood estimator of p based on a random sample of size n. 7.4.2 WP VS Consider the probability density function 1 f(x) tex/0 02 0≤ x < ∞, 0 < 0 < ∞ Find the maximum likelihood estimator for 0. 7.4.3 Let X1, X2, ..., X, be uniformly distributed on the interval 0 to a. Show that the moment estimator of a is â = 2X. Is this an unbiased estimator? Discuss the reasonableness of this estimator.

7.4.1 WP SS VS Let X be a geometric random variable with parameter p. Find the maximum likelihood estimator of p based on a random sample of size n. 7.4.2 WP VS Consider the probability density function 1 f(x) tex/0 02 0≤ x < ∞, 0 < 0 < ∞ Find the maximum likelihood estimator for 0. 7.4.3 Let X1, X2, ..., X, be uniformly distributed on the interval 0 to a. Show that the moment estimator of a is â = 2X. Is this an unbiased estimator? Discuss the reasonableness of this estimator.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Answer questions 7.4.1 , 7.4.2 and 7.4.3 respectively 

7.4.1 WP SS VS Let X be a geometric random variable with parameter p. Find the maximum likelihood estimator of p based on a random sample of size n. 7.4.2 WP VS Consider the probability density function 1 f(x) tex/0 02 0≤ x < ∞, 0 < 0 < ∞ Find the maximum likelihood estimator for 0. 7.4.3 Let X1, X2, ..., X, be uniformly distributed on the interval 0 to a. Show that the moment estimator of a is â = 2X. Is this an unbiased estimator? Discuss the reasonableness of this estimator.
Transcribed Image Text:7.4.1 WP SS VS Let X be a geometric random variable with parameter p. Find the maximum likelihood estimator of p based on a random sample of size n. 7.4.2 WP VS Consider the probability density function 1 f(x) tex/0 02 0≤ x < ∞, 0 < 0 < ∞ Find the maximum likelihood estimator for 0. 7.4.3 Let X1, X2, ..., X, be uniformly distributed on the interval 0 to a. Show that the moment estimator of a is â = 2X. Is this an unbiased estimator? Discuss the reasonableness of this estimator.
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