Statistical Inference and Hypothesis Testing-Sufficient Estimator (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 1 - 4 of 8

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Question number: 1

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

Let Equation be a random sample from a density function Equation . A statistics

Equation is said to be sufficient statistics if the conditional distribution of Equation given T

Choices

Choice (4) Response

a.

Independent of Equation S

b.

Dependent of Equation

c.

Dependent of Equation

d.

Independent of Equation

Question number: 2

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

If a statistics Equation is a sufficient statistics for a parameter Equation of the density function Equation , then the conditional distribution of Equation is ………. of Equation for any value of Equation

Choices

Choice (4) Response

a.

Dependent

b.

Either dependent or Independent

c.

Independent

d.

All of the above

Question number: 3

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

A statistic Equation is called as ________ Estimator for the parameter θ, if the conditional distribution of Equation given T does not depend on θ.

Choices

Choice (4) Response

a.

Unbiased

b.

Maximum Likelihood estimator

c.

Efficient

d.

Sufficient

Question number: 4

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

Let Equation be a random sample from a uniform population on Equation . Then the sufficient estimator for Equation is

Choices

Choice (4) Response

a.

Equation

b.

Either (i) or (ii)

c.

Equation

d.

Question does not provide sufficient data or is vague

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