Show that the product of the sample observations is a sufficient statistic for 0 > 0 if the random sample is taken from a gamma distribution with parameters a = and 8 = 6.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
100%

Please see attached mathematical statistics question below. 

 

how to show that the product of the sample observations is a suffcient statistic for theta>0 if the random sample is taken from a gamma distribution with parameters a = theta and B = 6?


Please do not reject question if you do not know how to solve this problem. Allow another expert a chance to answer this question.

Show that the product of the sample observations is a sufficient statistic for \( \theta > 0 \) if the random sample is taken from a gamma distribution with parameters \( \alpha = \theta \) and \( \beta = 6 \).
Transcribed Image Text:Show that the product of the sample observations is a sufficient statistic for \( \theta > 0 \) if the random sample is taken from a gamma distribution with parameters \( \alpha = \theta \) and \( \beta = 6 \).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 5 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON