prove the density function is a sufficient statistic 4) (4 marks) Let Yı,...,Y, be a random sample with the following common probability density function:Oy-2S6) -{ *y 20otherwiseHere, the unknown parameter 6 > 0. Find a sufficient statistica for 8 by using the factorization theorem.Provide g(u, 8) and h(y.,...,). Show all the steps. Circle the final answers.

Factorization Let X1,X2,…,Xn denote random variables with joint probability density function or…

4) (4 marks) Let Yı,…..,Y, be a random sample with the following common probability density function: S6) = { * y20 otherwise Here, the unknown parameter 8 > 0. Find a sufficient statisticą for 8 by using the factorization theorem. Provide g(u, 9) and h(y.,...,). Show all the steps. Circle the final answers.

4) (4 marks) Let Yı,…..,Y, be a random sample with the following common probability density function: S6) = { * y20 otherwise Here, the unknown parameter 8 > 0. Find a sufficient statisticą for 8 by using the factorization theorem. Provide g(u, 9) and h(y.,...,). Show all the steps. Circle the final answers.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 1CR

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Question

prove the density function is a sufficient statistic

4) (4 marks) Let Yı,...,Y, be a random sample with the following common probability density function:
Oy-2
S6) -{ *
y 20
otherwise
Here, the unknown parameter 6 > 0. Find a sufficient statistica for 8 by using the factorization theorem.
Provide g(u, 8) and h(y.,...,). Show all the steps. Circle the final answers.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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