ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 163 - 164 of 246
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Question number: 163
Which of the following definitions of Sufficiency of a estimator is known as Fisher-Neyman Factorization Theorem?
An estimator is said to be sufficient for if it provides all the information contained in the sample about the parametric function
If is a estimator of parameter based on a sample of size n from the population with density such that the conditional distribution of given T is independent of then T is sufficient estimator of .
A statistic is sufficient estimator of parameter if and only if the likelihood function (joint p. d. f. of the sample) can be expressed as where is the p. d. f. of statistic and is a function of sample observations only independent of
|d.||All of the above|