Based on available data, the distribution function chosen to model

NompsypeFeplk

NompsypeFeplk

Answered question

2021-11-28

Based on available data, the distribution function chosen to model particular data is
fx(x)=λeλx
Given these three data points: 3.6, 5.5, and 3.8, use the Maximum Likelihood Estimation method to determine the value of λ to 3 decimal places.

Answer & Explanation

Charles Randolph

Charles Randolph

Beginner2021-11-29Added 16 answers

Step 1
From the given information,
fx(x)=λeλx
Consider the likelihood function,
L=fi=1n(x)
=λneλx
Take ln on both sides,
lnL=nlnλλx
Therefore, ddλlnL=0
nλx=0
λ^=nx
Step 2
Given observations are 3.6, 5.5, and 3.8.
λ^=nx
=33.6+5.5+3.8
=0.233

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?