Let X₁,..., Xn be a random sample from an exponential distribution with the probability density function fx(x) = ¹⁄e-ª/³, for x > 0, and zero е X B elsewhere. Which statement is correct. (1) ² is an unbiased estimator of 3². (n+1) ² is an unbiased estimator of n (11) 3². 2 (111) X² is an unbiased estimator of 3². (IV) None of the above. n n+1 O (IV) (11) O (III) (1)
Let X₁,..., Xn be a random sample from an exponential distribution with the probability density function fx(x) = ¹⁄e-ª/³, for x > 0, and zero е X B elsewhere. Which statement is correct. (1) ² is an unbiased estimator of 3². (n+1) ² is an unbiased estimator of n (11) 3². 2 (111) X² is an unbiased estimator of 3². (IV) None of the above. n n+1 O (IV) (11) O (III) (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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 4E
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[STATISTICS] MULTIPLE CHOICE
Which option is correct? I will upvote the solution. Thanks!
![Let X₁,..., Xn be a random sample
from an exponential distribution with the
probability density function
ƒx(x) = ·e¯¤/ß, for x > 0, and zero
1
=
B
elsewhere. Which statement is correct.
(1) ϲ is an unbiased estimator of 3².
(n+1)
n
(11) X² is an unbiased estimator of
13².
(111) Ť² is an unbiased estimator of
32 .
(IV) None of the above.
N
n+1
O (IV)
(11)
(III)
O (1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bee9eed-f9c8-4672-9121-2503e95d908f%2F34656728-85fc-475b-9d57-61daa94eeef1%2Fvwocubd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X₁,..., Xn be a random sample
from an exponential distribution with the
probability density function
ƒx(x) = ·e¯¤/ß, for x > 0, and zero
1
=
B
elsewhere. Which statement is correct.
(1) ϲ is an unbiased estimator of 3².
(n+1)
n
(11) X² is an unbiased estimator of
13².
(111) Ť² is an unbiased estimator of
32 .
(IV) None of the above.
N
n+1
O (IV)
(11)
(III)
O (1)
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