Please answer asap Let X₁, X₂, X3,...,Xn be a random sample of n from population X distributed with the followingprobability density function:1f(x; 0)=√√2π00,e 20(i)Find the parameter space of 0.(ii) Find the maximum likelihood estimator of 0."if -∞0 < x < 0otherwise

Given that, Xi , i = 1 ,2,....n follows Normal distribution with mean zero and variance θ.

Answered: Let X₁, X₂, X3,...,Xn be a 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 X1, . . . , Xn be iid with pdf f(x) = 1 x √ 2πθ2 e − (log(x)−θ1) 2 2θ2 , −∞ < x < ∞, and unknown parameters θ1 and θ2. Find the maximum likelihood estimators for θ1 and θ2, respectively
2)Let X1, X2, ..., Xn be a sample of n units from a population with a probability density function f (x I θ)=θxθ-1 , 0<x<1, θ>0 . According to this: Find the maximum likelihood estimator (MLE) of parameter θ.
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Let X₁, X₂, X3,...,Xn be a random sample of n from population X distributed with the following probability density function: 1 f(x; 0)=√√2π0 V2πθ 0, (i) Find the parameter space of 0. (ii) Find the maximum likelihood estimator of 0. if -∞0 < x <∞ otherwise