Find the maximum likelihood estimator of  . How do you know it gives a maximum? 1. Let \( X_1, X_2, \ldots, X_n \) be independent random variables from a distribution with pdf \[f(x \mid \theta) = \begin{cases} (\theta + 1)x^{\theta} & \text{for } 0 < x < 1 \text{ and } \theta > -1 \\0 & \text{elsewhere}\end{cases}\]Find the maximum likelihood estimator of \( \theta \). How do you know it gives a maximum?

# given random variable x with pdf f(x)=(theta+1)*x^theta :0<x<1 then to find maximum likelihood estimator of theta ??

Answered: Let X, X, ..., X, be independent random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let X, X, ..., X, be independent random variables from a distribution |(0+1)x° for 0-1 with pdf f(x|0) =< elsewhere Find the maximum likelihood estimator of 0. How do you know it gives a maximum?