3y? exp 03 f(y|0) y > 0, 03 here 0 > 0 is a parameter. Using an appropriate pivotal quantity, verify that Y Y - log a)!/3 ' (– log(1 – a))!/3 ] a confidence interval for 0 with coverage probability 1 – 2a.

3y? exp 03 f(y|0) y > 0, 03 here 0 > 0 is a parameter. Using an appropriate pivotal quantity, verify that Y Y - log a)!/3 ' (– log(1 – a))!/3 ] a confidence interval for 0 with coverage probability 1 – 2a.

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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Question

Let Y be a random variable whose density function is

3y2 ? y3? f(y|θ)= θ3 exp −θ3 , y>0,
where θ > 0 is a parameter. Using an appropriate pivotal quantity, verify that
?Y,Y? (− log α)1/3 (− log(1 − α))1/3
is a confidence interval for θ with coverage probability 1 − 2α.

34 exp
f (y|0)
03
y > 0,
03
where 0 > 0 is a parameter. Using an appropriate pivotal quantity, verify that
Y
Y
(– log a)1/3 ' (– log(1 – a))!/3
is a confidence interval for 0 with coverage probability 1 – 2a.

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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