Let X1, .,Xn be a random sample from f (x; 0) = 0 exp(-0x); x> 0, where e= {0:0 > 0}.Find a UMP size- a test of Ho: 0 = 0, versus H : 0 > 0,.Q # 3(a)(b)Check whether there exists a UMP test of size a for testing H,: 0 = 6, versus H,:0 + 0,? Argue,if exists or does not exist.

INTRODUCTION : Uniformly Most Powerful Test ( UMP TEST ) A critical region c of size α for…

Let X1, .,X, be a random sample from f (x; 0) = 0 exp(-8x); x > 0, where Ə= {0:0 > 0}. Find a UMP size- a test of Ho: 0 = 0, versus H : 0 > Og. Q # 3 (а) (b) Check whether there exists a UMP test of size a for testing H,: 0 = 0, versus H;: 0 # 0,? Argue, if exists or does not exist.

Let X1, .,X, be a random sample from f (x; 0) = 0 exp(-8x); x > 0, where Ə= {0:0 > 0}. Find a UMP size- a test of Ho: 0 = 0, versus H : 0 > Og. Q # 3 (а) (b) Check whether there exists a UMP test of size a for testing H,: 0 = 0, versus H;: 0 # 0,? Argue, if exists or does not exist.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let X1, .,Xn be a random sample from f (x; 0) = 0 exp(-0x); x> 0, where e= {0:0 > 0}.
Find a UMP size- a test of Ho: 0 = 0, versus H : 0 > 0,.
Q # 3
(a)
(b)
Check whether there exists a UMP test of size a for testing H,: 0 = 6, versus H,:0 + 0,? Argue,
if exists or does not exist.

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