Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 45 - 48 of 54

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: 45

» 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

Question number: 46

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Relative efficiency of an estimator T1 as compared to T2 is given as

Choices

Choice (4) Response

a.

E=E(T2)E(V2)

b.

E=Var(T2)Var(V2)

c.

E=Var(T2)Var(V2)

d.

E=E(T1)E(T2)

Question number: 47

» 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 mean against median is

Choices

Choice (4) Response

a.

E(Mean,Median)=2π

b.

E(Mean,Median)=π2n

c.

E(Mean,Median)=π2

d.

E(Mean,Median)=π

Question number: 48

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

In a class of consistent estimators for a parameter, which one will you consider as the most efficient estimator?

Choices

Choice (4) Response

a.

One whose mean and variance both are less than the other estimators.

b.

One whose sampling variance is less than the other estimators.

c.

One whose mean is less than the other estimators.

d.

Question does not provide sufficient data or is vague

f Page
Sign In