Statistical Inference and Hypothesis Testing-Factorization Theorem (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 3 - 5 of 5

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Question number: 3

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

Question

Factorization theorem for sufficiency is known as

Choices

Choice (4) Response

a.

Rao-Blackwell Theorem

b.

Fisher-Neyman Theorem

c.

Bernoulli Theorem

d.

Cramer-Rao Theorem

Question number: 4

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

Question

If is a random sample from a density functionfor where are independent of , then any statistics will be called as sufficient statistics if the joint probability density function can be expressed as

Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 5

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

Question

If is a statistics for a parameter of the density function and for i = 1, 2, …, n can be factorized as , Then is a ________

Choices

Choice (4) Response

a.

Efficient Estimator

b.

Consistent Estimator

c.

Unbiased Estimator

d.

Sufficient Estimator

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