2x 8 Consider A Distribution With Pdf F X Where 0 X 0 And 0 0 9 Consider A Distribution With Pdf F X E X 0 Ex 1 (44.16 KiB) Viewed 19 times
2x 8. Consider a distribution with pdf f(x) = where 0<x<0 and >0 0² 9. Consider a distribution with pdf f(x)= e¯(x-0) exp(-e¯(x)), -∞0<x<∞, -∞0<<∞0 10. Consider a distribution with pdf 1 1 f(x|0,0)= -∞0 < x <∞, -∞0 <A <∞, σ>0 πσ 1+ (x-0)²
(A) t(x) = log(x) (B) t(x) = log(1-x) (C) t(x) = ex (D) t(x) = ex (E) t(x) = x (F) t(x) = 1/x (G) t(x)=x" where the exponent r here is a number besides 1 or -1. (H) Can be written as an exponential family but requires k> 1, so there two or more expressions for t(x). (I) Can be written in the form of an exponential family with k = 1 but the statistic that is different from any of these and cannot be modified to be one of these by changing the form of the function of the parameter. (Recall the example from the Pareto dist'n in which we modified the form of the function of x.) (J) Not an exponential family (Cannot be written in the form of an exponential family.)
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