2. (This is a fill-in-the-blank question.) Consider the statistical model {P}ee defined as follows: ⚫ The parameter space (0,∞) the collection of all positive real numbers. • Each Po presents a continuous distribution characterized by the following probability density function (PDF) 0 Pe(x) = 5)= (1+x)1+0 · 1(x > 0), where 1(x > 0) is an indicator function. Suppose data X1, X2,..., Xn id Po*, where 0* is the unknown true parameter. Please answer the following questions: The maximum likelihood estimator (MLE) of 0* is ⑦MLE = (a) (0.5 (b) (0 The Fisher information of the model is I(0)
2. (This is a fill-in-the-blank question.) Consider the statistical model {P}ee defined as follows: ⚫ The parameter space (0,∞) the collection of all positive real numbers. • Each Po presents a continuous distribution characterized by the following probability density function (PDF) 0 Pe(x) = 5)= (1+x)1+0 · 1(x > 0), where 1(x > 0) is an indicator function. Suppose data X1, X2,..., Xn id Po*, where 0* is the unknown true parameter. Please answer the following questions: The maximum likelihood estimator (MLE) of 0* is ⑦MLE = (a) (0.5 (b) (0 The Fisher information of the model is I(0)
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.CR: Chapter 13 Review
Problem 4CR
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Transcribed Image Text:2. (This is a fill-in-the-blank question.)
Consider the statistical model {P}ee defined as follows:
⚫ The parameter space (0,∞) the collection of all positive real numbers.
• Each Po presents a continuous distribution characterized by the following probability
density function (PDF)
0
Pe(x) =
5)=
(1+x)1+0
· 1(x > 0),
where 1(x > 0) is an indicator function.
Suppose data X1, X2,..., Xn id Po*, where 0* is the unknown true parameter. Please answer
the following questions:
The maximum likelihood estimator (MLE) of 0* is ⑦MLE =
(a) (0.5
(b) (0
The Fisher information of the model is I(0)
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