1. Suppose that y; has distribution N(0;, o² = 1).(a) Write the pdf in the natural exponential family formf(y; 0;) = a(0;)b(y:) exp[y.Q(0;)](b) What is the natural parameter Q(0)?(c) What is the canonical link function g(µ)?

(a) According to question, yi~Nθi, 1 and Natural exponential family form given in question is,…

Answered: Suppose that y; has distribution…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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Suppose that y; has distribution N(0;,o² = 1). (a) Write the pdf in the natural exponential family form f(y; 0;) = a(0;)b(y:) exp[y.Q(0;)] %3D (b) What is the natural parameter Q(0)? (c) What is the canonical link function g(µ)?