Example 17.33. (a) Find the maximum likelihood estimate for the parameter a of a Poisson distribution on the basis of a sample of size n. Also find its variance. (b) Show that the sample mean x, is sufficient for estimating the parameter A of the Poisson distribution.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
icon
Related questions
Question
Example 17-33. (a) Find the maximum likelihood estimate for the parameter A of a
Poisson distribution on the basis of a sample of size n. Also find its variance.
(b) Show that the sample mean x, is sufficient for estimating the parameter of the
Poisson distribution.
Transcribed Image Text:Example 17-33. (a) Find the maximum likelihood estimate for the parameter A of a Poisson distribution on the basis of a sample of size n. Also find its variance. (b) Show that the sample mean x, is sufficient for estimating the parameter of the Poisson distribution.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning