2) Given x-f(x,0)= 0(1- 0)*1, x=1.2,3.,.. 0n|X>m)= P(X>n-m), for n>m? Part Two: Let X1, X2, X3,...Xn be a random sample from population f(x,e). d. Find GMLE for 0 and show that GMLE is suffient and...

2) Given x-f(x,0)= 0(1- 0)*1, x=1.2,3.,.. 0<0<1 and e is unknown<br>Part One:<br>a. Find EX, VAR X?<br>b. Let Y= (X-1),find the pdf of Y then give EY and VarY?<br>c. Find the CDF F(x,0)=P(Xsx) and show P(X>n|X>m)= P(X>n-m), for n>m?<br>Part Two: Let X1, X2, X3,...Xn be a random sample from population f(x,e).<br>d. Find GMLE for 0 and show that GMLE is suffient and complete ?<br>e. Find Cramer Roa Lower Bound for the variance of unbiased estimator for 0?<br>f. Find the asymptotic distribution of @MLE ?<br>

Extracted text: 2) Given x-f(x,0)= 0(1- 0)*1, x=1.2,3.,.. 0<><1 and="" e="" is="" unknown="" part="" one:="" a.="" find="" ex,="" var="" x?="" b.="" let="" y="(X-1),find" the="" pdf="" of="" y="" then="" give="" ey="" and="" vary?="" c.="" find="" the="" cdf="" f(x,0)="P(Xsx)" and="" show="" p(x="">n|X>m)= P(X>n-m), for n>m? Part Two: Let X1, X2, X3,...Xn be a random sample from population f(x,e). d. Find GMLE for 0 and show that GMLE is suffient and complete ? e. Find Cramer Roa Lower Bound for the variance of unbiased estimator for 0? f. Find the asymptotic distribution of @MLE ?

Jun 08, 2022

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2) Given x-f(x,0)= 0(1- 0)*1, x=1.2,3.,.. 0n|X>m)= P(X>n-m), for n>m? Part Two: Let X1, X2, X3,...Xn be a random sample from population f(x,e). d. Find GMLE for 0 and show that GMLE is suffient and...

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