Let X1,…, Xn be a random sample from a population with the

Chapter 4, Problem 6E

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QUESTION:

Let \(X_{1}, \ldots, X_{n}\)  be a random sample from a population with the Poisson(λ) distribution. Find the MLE of λ.

Equation transcription:

Text transcription:

X_{1}, \ldots, X_{n}

Image Text Transcription: Let X1, . . . , Xn be a random sample from a population with the Poisson(λ) distribution. Find the MLE of λ.

Questions & Answers

QUESTION:

Let \(X_{1}, \ldots, X_{n}\)  be a random sample from a population with the Poisson(λ) distribution. Find the MLE of λ.

Equation transcription:

Text transcription:

X_{1}, \ldots, X_{n}

Image Text Transcription: Let X1, . . . , Xn be a random sample from a population with the Poisson(λ) distribution. Find the MLE of λ.

ANSWER:

Answer:

Step 1 of 2:

Let X follows Poisson  distribution with probability mass function with  parameter .

f(x ; ) =

The claim is to find the Maximum likelihood function (MLE) of .


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