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Suppose that the following probability density function (pdf) for the random variable X: f(x:0) = {°C1 L0(1 + x)-(1+0) 0 1 otherwise is a member of the one-parameter exponential family of the continuous type, then we have to choose the four functions p(0), k(x), S(x) and q(0) as follows: (A) p(0) = In 0, k(x) = ln (1 + x), S(x) = –In (1 + x) and q(0) = 0 (B) p(0) = 0, k(x) = In (1 + x), S(x) = -In (1 + x) and q (0) = In 0 (C) p(0) = 0, k(x) = –In (1 + x), S(x) = In (1 + x) and q (0) = –In 0 (D) p(0) = 0, k(x) = -In (1 + x), S(x) = –In (1 + x) and q(0) = In 0 %3D %3D

Suppose that the following probability density function (pdf) for the random variable X: f(x:0) = {°C1 L0(1 + x)-(1+0) 0 1 otherwise is a member of the one-parameter exponential family of the continuous type, then we have to choose the four functions p(0), k(x), S(x) and q(0) as follows: (A) p(0) = In 0, k(x) = ln (1 + x), S(x) = –In (1 + x) and q(0) = 0 (B) p(0) = 0, k(x) = In (1 + x), S(x) = -In (1 + x) and q (0) = In 0 (C) p(0) = 0, k(x) = –In (1 + x), S(x) = In (1 + x) and q (0) = –In 0 (D) p(0) = 0, k(x) = -In (1 + x), S(x) = –In (1 + x) and q(0) = In 0 %3D %3D

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that the following probability density function (pdf) for the random variable X: L0(1 +x)-(1+0) 0 <x < 0 ; 0>1 f(x; 0) = otherwise is a member of the one-parameter exponential family of the continuous type, then we have to choose the four functions p(0), k(x), S(x) and q(0) as follows: (A) p(0) = In 0, k(x) = In (1 + x), S(x) = -In (1 + x) and q (8) = 0 (B) p(8) = 0, k(x) = In (1 + x), S(x) = -In (1 + x) and q (0) = In 0 (C) p(0) = 0, k(x) = -In (1 + x), S (x) = In (1 + x) and q (0) = -In e (D) p(0) = 0, k(x) = -In (1+ x), S(x) = -In (1 + x) and q (8) = In e %3D %3D A В
Transcribed Image Text:Suppose that the following probability density function (pdf) for the random variable X: L0(1 +x)-(1+0) 0 <x < 0 ; 0>1 f(x; 0) = otherwise is a member of the one-parameter exponential family of the continuous type, then we have to choose the four functions p(0), k(x), S(x) and q(0) as follows: (A) p(0) = In 0, k(x) = In (1 + x), S(x) = -In (1 + x) and q (8) = 0 (B) p(8) = 0, k(x) = In (1 + x), S(x) = -In (1 + x) and q (0) = In 0 (C) p(0) = 0, k(x) = -In (1 + x), S (x) = In (1 + x) and q (0) = -In e (D) p(0) = 0, k(x) = -In (1+ x), S(x) = -In (1 + x) and q (8) = In e %3D %3D A В
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