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2 Suppose that x1x2xn form a random sumple from o distr.pdf

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This document asks to: 1) Write the likelihood function L in simplified form for a random sample from an exponential distribution over the interval [0,10]; 2) Write the log-likelihood ln(L) in simplified form; 3) Find the maximum likelihood estimate (MLE) of the parameter by taking the derivative of ln(L) and setting it equal to 0; 4) Given a sample, calculate the numerical value of the MLE of the first quartile Q1 of the distribution.

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2. Suppose that x1,x2,,xn form a random sumple from o distribution given by f(x)=ex3, for x3 10 elvewhere. i Hrite out the Likelihood function L in simplified form ii Hrite out ln(L) in simplified form. iii Find the MLE, ^ of Justify your steps completely. iv If the somple values are 6,2,4,7,9,4, find the numerical value of the MLE Q^1 of the first quartite of the ditribution Q1

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  • 1. 2. Suppose that x1,x2,,xn form a random sumple from o distribution given by f(x)=ex3, for x3 10 elvewhere. i Hrite out the Likelihood function L in simplified form ii Hrite out ln(L) in simplified form. iii Find the MLE, ^ of Justify your steps completely. iv If the somple values are 6,2,4,7,9,4, find the numerical value of the MLE Q^1 of the first quartite of the ditribution Q1