1. Suppose that we observe data {y;}_₁ independently generated from a distribution with probability mass function f(y;0) = 5y*0-e-(vớ y> 0 with some > 0. a) Write the log-likelihood function for this sample and show that the maximum likelihood estimate of parameter is ô = [n-¹ Σ₁₁]¹/5

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1. Suppose that we observe data {y;}_₁ independently generated from a distribution with probability mass function
ƒ(y; 0) = 5y¹0−5e-(y/0)³ y>0
with some > 0.
9
a) Write the log-likelihood function for this sample and show that the maximum likelihood estimate of parameter is
1/5
ô = [n−¹ Σ ₁ y³]¹/³
Transcribed Image Text:1. Suppose that we observe data {y;}_₁ independently generated from a distribution with probability mass function ƒ(y; 0) = 5y¹0−5e-(y/0)³ y>0 with some > 0. 9 a) Write the log-likelihood function for this sample and show that the maximum likelihood estimate of parameter is 1/5 ô = [n−¹ Σ ₁ y³]¹/³
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