Consider a random sample X1,..., X, with n > 3 from the exponential distribution with parameter A > 0 and density f(r; A) = e=/A, 1 > 0. Consider the following two estimators of A: X, Ã=nX1). i=1
Consider a random sample X1,..., X, with n > 3 from the exponential distribution with parameter A > 0 and density f(r; A) = e=/A, 1 > 0. Consider the following two estimators of A: X, Ã=nX1). i=1
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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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Transcribed Image Text:Calculate L = E(Ä|X1) and find its variance. Is the variance of L smaller than
the variance of Ä? Is L an estimator of X? Explain why this is.
Transcribed Image Text:Consider a random sample X1,..., X, with n > 3 from the exponential distribution
with parameter A > 0 and density
1
f(x; A) =
e/A
I> 0.
Consider the following two estimators of A:
3
Ex,, X =nX1).
=
i=1
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