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 ?

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 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...

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

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

4. 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...

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

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

6. A continuous random variable which can assume all possible values on scale in a given _______________?

   A. Interval B. Point C. Time D. Sample space...

7. A binomial random variable can assume values from _________ to n?

   A. 6 B. 3 C. 2 D. 0...

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. For two independent random variables X & Y, Var (x ± y)=___________?

   A. Var(X) + Var (Y) B. Var(X) – Var (Y) C. Var (X)± D. Zero...

10. A random variable may be _____________?

    A. fixed B. continuous C. discrete D. discrete or continuous...