Suppose the random variable, X, follows a geometric distribution with parameter 0 (0 <0 < 1). Let X₁, X2,..., X be a random sample of size n from the population of X.(a) Write down the likelihood function of the parameter.(b) Show that the log likelihood function of depends on the sample only throughΣj=1 Xj.(c) Find the maximum likelihood estimator (mle) of 0.(d) Find the method of moments estimator (mme) of 0.

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

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Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

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stribution with pa n from the popula er.