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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 5

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Efficient Estimator

b.

Consistent Estimator

c.

Unbiased Estimator

d.

Sufficient Estimator

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