Let T be a complete and sufficient statistic for a family P of distributions and let U be a sufficient statistic for P. If Pf(T ge 0) = 1 for all f in P, then which one of the following options is NOT necessarily correct?

Q18Section ST (Statistics (Q11–Q65))18 of 65

Properties of complete sufficient statistics

Let $T$ be a complete and sufficient statistic for a family $\mathcal{P}$ of distributions and let $U$ be a sufficient statistic for $\mathcal{P}$ . If $P_{f}(T \ge 0) = 1$ for all $f \in \mathcal{P}$ , then which one of the following options is NOT necessarily correct?

Pick an option to check your answer. In a mock test a wrong answer here costs 1/3 mark.

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