ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 63 - 67 of 246

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Question number: 63

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

A statistic is biased if the mean of the sampling distribution of the statistic is

Choices

Choice (4) Response

a.

Equal to the parameter

b.

Not equal to the parameter.

c.

Less than the parameter

d.

Question does not provide sufficient data or is vague

Question number: 64

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

The mean of a random sample X is always a consistent estimator of the population mean μ. This statement is

Choices

Choice (4) Response

a.

True for all distributions

b.

False

c.

True only for Bernoulli distribution

d.

All of the above

Question number: 65

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

MCQ▾

Question

If T is the MLE of θ and ψ(θ) is one to one function of θ , then ψ(T) is the MLE of ψ(θ) . This is known as the

Choices

Choice (4) Response

a.

Asymptotic Normality of MLE

b.

Consistency property of MLE

c.

Invariance property of MLE

d.

None of the above

Question number: 66

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If Eθ(T)=γ(θ)andVARθ(T)VARθ(Tʹ)forallθΘ

Where (Tʹ) is any other unbiased estimator of (θ) . Then the statistic T is known as

Choices

Choice (4) Response

a.

Minimum Variance Unbiased Estimator (MVUE)

b.

Sufficient Estimator

c.

Efficient Estimator

d.

Consistent Estimator

Question number: 67

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

MCQ▾

Question

In a random sampling from Normal population N(μ,σ2), the likelihood estimators of mean and variance are

Choices

Choice (4) Response

a.

Variance is Unbiased

b.

Mean is biased

c.

Both a. and b. are correct

d.

Question does not provide sufficient data or is vague

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