Let X1,..., Xn, be a random sample from the following probability distribution fX(x)=0+1)e -피/0 I+1 x > 0,0 elsewhere and e > 0. (a) Show that f belongs to a regular exponential family. (b) Find a...

Let X1,..., Xn, be a random sample from the following probability distribution<br>fX(x)=0+1)e<br>-피/0<br>I+1<br>x > 0,0 elsewhere<br>and e > 0.<br>(a) Show that f belongs to a regular exponential family.<br>(b) Find a complete sufficient statistics S of e.<br>(c) Find its expected value and its variance of S.<br>

Extracted text: Let X1,..., Xn, be a random sample from the following probability distribution fX(x)=0+1)e -피/0 I+1 x > 0,0 elsewhere and e > 0. (a) Show that f belongs to a regular exponential family. (b) Find a complete sufficient statistics S of e. (c) Find its expected value and its variance of S.

Jun 08, 2022

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Let X1,..., Xn, be a random sample from the following probability distribution fX(x)=0+1)e -피/0 I+1 x > 0,0 elsewhere and e > 0. (a) Show that f belongs to a regular exponential family. (b) Find a...

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