c) Let Ô₁ = X₁+2X₂+2X3-X4 one of the two estimators is more efficient? and Ô₂ = (X₁ + X₂ + X3 + X4) be two unbiased estimators of 8. Which

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that a sequence of mutually independent and identically distributed discrete random
variables X₁, X₂, X3, ..., Xn has the following probability density function
c)
Let Ô₁
=
X₁+2X₂+2X3-X4
4
f(x; 0) =
0xe
xc!
for x = 0,1,2,...
elsewhere
¹ and Ô₂ = ²(X₁ + X₂ + X3 + X4) be two unbiased estimators of 0. Which
one of the two estimators is more efficient?
Transcribed Image Text:Suppose that a sequence of mutually independent and identically distributed discrete random variables X₁, X₂, X3, ..., Xn has the following probability density function c) Let Ô₁ = X₁+2X₂+2X3-X4 4 f(x; 0) = 0xe xc! for x = 0,1,2,... elsewhere ¹ and Ô₂ = ²(X₁ + X₂ + X3 + X4) be two unbiased estimators of 0. Which one of the two estimators is more efficient?
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