Suppose that X is a random variable with pdf (0 – 1) k - 1 fx(k;0) = , k=1,2,3, ... , 0 > 1 for which E(X)=0 and Var(X)=0(0-1). What is the Cramer-Rao lower bound for a random sample of size n drawn from this pdf? O 0 (0 – 1) O 0(0 – 1) n Ө (ө—1) 0 (0 – 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
Section13.3: Special Probability Density Functions
Problem 30E
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Question 1
Suppose that X is a random variable with pdf
(0 – 1) k-1
fx(k;0) =
k=1,2,3,... , 0 > 1
for which E(X)=0 and Var(X)=0(0-1). What is the Cramer-Rao lower bound for a random sample of size n drawn from this pdf?
О ө (ө—1)
O 0(0 – 1)
Ө (ө—1)
1
0 (0 – 1)
Transcribed Image Text:Question 1 Suppose that X is a random variable with pdf (0 – 1) k-1 fx(k;0) = k=1,2,3,... , 0 > 1 for which E(X)=0 and Var(X)=0(0-1). What is the Cramer-Rao lower bound for a random sample of size n drawn from this pdf? О ө (ө—1) O 0(0 – 1) Ө (ө—1) 1 0 (0 – 1)
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