1. Suppose that y, has distribution N(0₁, 0² = 1). (a) Write the pdf in the natural exponential family form f(y₁; 0;)= a(0;) b(yi) exp[y.Q(0;)] (b) What is the natural parameter Q(0)? (c) What is the canonical link function g(u)?

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1. 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;)]
(b) What is the natural parameter Q(0)?
(c) What is the canonical link function g(µ)?
Transcribed Image Text:1. 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;)] (b) What is the natural parameter Q(0)? (c) What is the canonical link function g(µ)?
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