Let X1,X2,……,Xn be a random sample from a density,,,, f(x ι θ) where θ is a value of the random variable Θwith known density gΘ(θ) Then the estimator ∏(θ) with…/ respect to the prior gΘ(θ) is define as______________E[∏(θ)ιX1,X2,…..,Xn] is called?

Related Mcqs:

1. Let X1,X2,……,Xn be a random sample from a density,,,, f(x ι θ) where θ is a value of the random variable Θwith known density gΘ(θ) Then the estimator ∏(θ) with…/ respect to the prior gΘ(θ) is define as_________________E[∏(θ)ιX1,X2,…..,Xn] is called?

   A. Posterior Bay’s estimator B. Minimax estimator C. Bay’s estimator D. Sufficient estimator...

2. Let Z1,Z2,….Zn be independent and identically distributedrandom variable, satisfying E[ι Zt ι]<∞. Let N be an integer valued random variable whose value n depends only on the values of the first n Z¡'s. Suppose E(N)< ∞, then E(Z1,Z2,….Zn)=E(N)E(Z) is called ?

   A. Independence Equation B. Sequential Probability Likelihood Equation C. Neyman Pearson Lemma D. Wald’s Equation...

3. Let X1,X2,…Xn be a random sample from the density f(x;(θ), where θ may be vector. If the conditional distribution of X1,X2,…Xn given S=s does not depend on θ for any value of s of S, then statistic is called?

   A. Minimal sufficient statistic B. Sufficient statistic C. Efficient D. Minimax statistics...

4. An estimator Q is an unbiased estimator of the population parameter Q if ___________________?

   A. E(x) = µ B. E(Q) =Q C. E(Q) =Q D. E(P) = P...

5. Sample proportion P is __________ estimator?

   A. Biased B. Parameter C. Unbiased D. None of these...

6. Sample variance S2 is unbiased estimator of population variance 26 because ________________?

   A. E(S2) = s2 B. E(u) = X C. E(P) = P D. Ux = u...

7. Discrete random variable is real valued function defined on a ___________ sample space?

   A. Discrete B. Variable C. Scale D. Non of these...

8. A function probability that a random variable of x has a value less than is called _____________?

   A. Random function B. Distribution function C. Continuous function D. probability function...

9. A list of sample _________ is called sample space?

   A. Events B. Subset C. Piont D. Distinct...

10. A random variable is that whose value is determined by the outcome of _________________?

    A. Trial B. event C. Experiment D. Random experiment...