24. Let X₁, X2, ..., Xn be a random sample from a population X having theprobability density function0x0-1,if 0 < x < 1f(x; 0) = {{{0x0otherwise,=Xof 0, obtained by thewhere > 0 is a parameter. Is the estimatormoment method, a consistent estimator of 0?1-X

Given:f(x,θ)=θxθ-1;0<x<1,θ>0.

Answered: 24. Let X1, X2, ..., Xn be a random…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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24. Let X1, X2, ..., Xn be a random sample from a population X having the probability density function f(x; 0) = { 0x0-1₁ if 0 < x < 1 otherwise, Xof 0, obtained by the = where > 0 is a parameter. Is the estimator moment method, a consistent estimator of 0? 1-X