2) Let X₁, X₂, X3, X4 be a random sample of size 4 from a population with the following distribution function f(x: 0)=B e (x-4) for x > 4 otherwise Where, ß > 0. a) If f(x; 0) a member of one-parameter regular exponential family. What are the functions h(x), c(0), w (0) and t(x). b) Find the maximum likelihood estimator of the parameter B. c) If the data from this random sample are 8.2,9.1, 10.6 and 4.9, respectively, what is the maximum likelihood estimate of B?

2) Let X₁, X₂, X3, X4 be a random sample of size 4 from a population with the following distribution function f(x: 0)=B e (x-4) for x > 4 otherwise Where, ß > 0. a) If f(x; 0) a member of one-parameter regular exponential family. What are the functions h(x), c(0), w (0) and t(x). b) Find the maximum likelihood estimator of the parameter B. c) If the data from this random sample are 8.2,9.1, 10.6 and 4.9, respectively, what is the maximum likelihood estimate of B?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 17EQ

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