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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 40 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 40 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?

A First Course in Probability (10th Edition)
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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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 (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?
Transcribed Image Text: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 (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?
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