# Statistical Inference and Hypothesis Testing-Factorization Theorem (ISS 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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