Let (x1, x2, ..., ¤n) be a random sample from a Poisson distribution with parameter 0 > 0. Show that both - r; and are moment estimators of 0. i=1 i=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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4. Let (x1, 12, .., En) be a random sample from a Poisson distribution with parameter 0 > 0. Show that
1
L; and
both
are moment estimators of 0.
i=1
i=1
Transcribed Image Text:4. Let (x1, 12, .., En) be a random sample from a Poisson distribution with parameter 0 > 0. Show that 1 L; and both are moment estimators of 0. i=1 i=1
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