Suppose that we have data y = (y₁, ... ,yn). Each data-point is assumed to be generated by a distribution with the following probability density function: p(y¡ | 4) = 24y¡ exp(−¥y?), y¡ ≥ 0, i = 1,...,n. The unknown parameter is , with > 0. Write down the likelihood for given y. Find an expression for the maximum likelihood estimate (MLE) .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Suppose that we have data y = (y₁,..., yn). Each data-point is assumed to be generated by a
distribution with the following probability density function:
p(v¡ | 4) = 24y; exp(-4y?), y¡ ≥ 0, i = 1,...,n.
The unknown parameter is , with > 0.
Write down the likelihood for given y. Find an expression for the maximum
likelihood estimate (MLE) .
Transcribed Image Text:Suppose that we have data y = (y₁,..., yn). Each data-point is assumed to be generated by a distribution with the following probability density function: p(v¡ | 4) = 24y; exp(-4y?), y¡ ≥ 0, i = 1,...,n. The unknown parameter is , with > 0. Write down the likelihood for given y. Find an expression for the maximum likelihood estimate (MLE) .
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