Let X1, X2, ..., X, be a random sample from a population having the power distribution with probability density function BrB-1 f(x) = 0

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
Section13.3: Special Probability Density Functions
Problem 30E
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2.6 Let X1, X2, ..., X, be a random sample from a population having the power distribution with
probability density function
Brb-1
f(x) =
0<x< a,
where a and B are positive unknown parameters. Find the method of moments estimators
of a and B for the n = 3 times between nuclear power plant accidents (in operating years):
1728, 1986, 10746. Plot the empirical and fitted cumulative distribution functions.
Transcribed Image Text:2.6 Let X1, X2, ..., X, be a random sample from a population having the power distribution with probability density function Brb-1 f(x) = 0<x< a, where a and B are positive unknown parameters. Find the method of moments estimators of a and B for the n = 3 times between nuclear power plant accidents (in operating years): 1728, 1986, 10746. Plot the empirical and fitted cumulative distribution functions.
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