Suppose X1,..., X, are iid gamma random variables with parameters 1 and 0 Let X, = E X; »let Wn log Xn and let Y,, = 1/X,, Vn(X, – n0) converges in distribution to a normal distribution with mean o and variance A2 n3/2 (Y, – (no)-1) converges in distribution to a normal distribution with mean 0 and variance 1/02. Xn /n is not a consistent estimator for A

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 1E
icon
Related questions
Question

True or False questions

Suppose X1,..., Xn are iid gamma random variables with parameters 1 and e
Let Xn
= E X; , let W, = log Xn ,and let Y, = 1/Xn
i=1
Vn(X, – ne) converges in distribution to a normal distribution with mean 0 and variance 02
v Choose...
False
True
n3/2(Y, – (n0)-1) converges in distribution to a normal distribution with mean 0 and variance 1/02
Choose...
X,/n is not a consistent estimator for A
Choose... +
Vn(Wn – log(n0)) converges in distribution to a standard normal distribution.
Choose... +
-
Previous page
Finish attempt ...
Transcribed Image Text:Suppose X1,..., Xn are iid gamma random variables with parameters 1 and e Let Xn = E X; , let W, = log Xn ,and let Y, = 1/Xn i=1 Vn(X, – ne) converges in distribution to a normal distribution with mean 0 and variance 02 v Choose... False True n3/2(Y, – (n0)-1) converges in distribution to a normal distribution with mean 0 and variance 1/02 Choose... X,/n is not a consistent estimator for A Choose... + Vn(Wn – log(n0)) converges in distribution to a standard normal distribution. Choose... + - Previous page Finish attempt ...
Expert Solution
steps

Step by step

Solved in 6 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,