20 y (1+ Oy²)² > 0. Using an appropriate pivotal quantity, verify that f(y|0) for 2 - a (2 a) Y2 a Y2 is a confidence interval for 0 with coverage probability 1 - a where 0 < a < 1.
20 y (1+ Oy²)² > 0. Using an appropriate pivotal quantity, verify that f(y|0) for 2 - a (2 a) Y2 a Y2 is a confidence interval for 0 with coverage probability 1 - a where 0 < a < 1.
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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Transcribed Image Text:3.
A random variable Y is said to have a Fisk distribution with parameter 0 > 0 if
the density function of Y is
20 y
f(y|0)
(1+ Oy²)²
for y > 0. Using an appropriate pivotal quantity, verify that
2 - a
(2
a) Y2
a Y2
is a confidence interval for 0 with coverage probability 1 – a where 0 < a < 1.
Note that the Fisk distribution is also used in actuarial science to model the distribution of wealth.
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