A set of jointly sufficient statistic is defined to be minimal sufficient if and only if_______________?

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A set of jointly sufficient statistic is defined to be minimal sufficient if and only if_______________?

A. It is a function of some other set of sufficient statistics.
B. It is a function of every other set of sufficient
C. It is a function of any sufficient statistics in the set.
D. It is not a function of every other set of sufficient statistics.

Let Z1,Z2,….Zn be independent and identically distributedrandom variable, satisfying E[ι Zt ι]

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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

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?

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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