Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 114 - 117 of 222

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 246 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

Question number: 114

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If T1 and T2 are two estimators for (θ) , such that E(T1)=E(T2)=γ(θ) and V(T1)=V(T2) , then

Choices

Choice (4) Response

a.

T1T2

b.

T1=T2

c.

Either T1>T2 or T2>T1

d.

Question does not provide sufficient data or is vague

Question number: 115

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

Question

Generally the estimators obtained by the method of moments as compared to Maximum Likelihood estimators are:

Choices

Choice (4) Response

a.

Less Efficient

b.

More Efficient

c.

Equally Efficient

d.

Question does not provide sufficient data or is vague

Question number: 116

» Statistical Inference and Hypothesis Testing » Cramer-Rao Inequality

MCQ▾

Question

Which of the following options is appropriate for the Cramer-Rao Inequality, where

T is an unbiased estimator γ(θ) -

Choices

Choice (4) Response

a.

Var(T)[θlogL]2E[ddθγ(θ)]2

b.

Var(T)[ddθγ(θ)]2E[θlogL]

c.

Var(T)[ddθγ(θ)]2E[θlogL]2

d.

Var(T)[ddθγ(θ)]2E[θlogL]2

Question number: 117

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

For a normal population (μ,σ2) , the variance of the sample mean and sample variance are given V(x¯)=σ2n V(MD)=πσ22n . Then the efficiency of median against mean is

Choices

Choice (4) Response

a.

E(Median,Mean)=π2

b.

E(Median,Mean)=2π

c.

E(Median,Mean)=2π

d.

E(Median,Mean)=πn

f Page
Sign In