5.5.2. Let X1, X2,..., Xn be a random sample of size n from the Poisson distribution, px(k;) n = e-xxk, k k! k = 0,1,.... Show that ✩ = ½✗X; is an efficient estimator for λ. i=1
5.5.2. Let X1, X2,..., Xn be a random sample of size n from the Poisson distribution, px(k;) n = e-xxk, k k! k = 0,1,.... Show that ✩ = ½✗X; is an efficient estimator for λ. 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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 43CR
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Transcribed Image Text:5.5.2. Let X1, X2,..., Xn be a random sample of size
n from the Poisson distribution, px(k;)
n
=
e-xxk, k
k!
k =
0,1,.... Show that ✩ = ½✗X; is an efficient estimator
for λ.
i=1
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