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