The Pareto distribution is frequently used as a model in the study of incomes and has the cumulative distribution function F(x;6,,0,) =1-(0, /x)*, x2 6,, where 6, > 0 and 0, > 0. If X1,X2, ,X,is a random sample from this distribution, find the maximum likelihood estimators of 0, and 0,.

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
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The Pareto distribution is frequently used as a model in the study of incomes and has the
cumulative distribution function F(x;8,,0,)=1-(6, /x), x2 6,, where 6, > 0 and 0, > 0.
If X1,X2, .. , X, is a random sample from this distribution, find the maximum likelihood
estimators of 0, and 0,.
Transcribed Image Text:The Pareto distribution is frequently used as a model in the study of incomes and has the cumulative distribution function F(x;8,,0,)=1-(6, /x), x2 6,, where 6, > 0 and 0, > 0. If X1,X2, .. , X, is a random sample from this distribution, find the maximum likelihood estimators of 0, and 0,.
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