Suppose X1,..., Xm are iid gamma random variables with parameters 1 and 0 Let X, = E X; ,let W, = log Xn ,and let Y, = 1/X Vn(X, - n0) converges in distribution to a normal distribution with mean o and variance 02 n3/2(Y, – (n0)-1) converges in distribution to a normal distribution with mean o and variance 1/0² Xn/n is not a consistent estimator for A
Suppose X1,..., Xm are iid gamma random variables with parameters 1 and 0 Let X, = E X; ,let W, = log Xn ,and let Y, = 1/X Vn(X, - n0) converges in distribution to a normal distribution with mean o and variance 02 n3/2(Y, – (n0)-1) converges in distribution to a normal distribution with mean o 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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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![Suppose X1,..., X, are iid gamma random variables with parameters 1 and A
Let X, = E1 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
v Choose...
False
True
n3/2 (Yn – (n0)-1) converges in distribution to a normal distribution with mean 0 and variance 1/02
Choose... +
Xn/n is not a consistent estimator for A
Choose... +
Vn(Wn – log(n0)) converges in distribution to a standard normal distribution.
Choose... +
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Transcribed Image Text:Suppose X1,..., X, are iid gamma random variables with parameters 1 and A
Let X, = E1 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
v Choose...
False
True
n3/2 (Yn – (n0)-1) converges in distribution to a normal distribution with mean 0 and variance 1/02
Choose... +
Xn/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..
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