ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 96 - 100 of 246

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: 96

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

MCQ▾

Question

Maximum likelihood method, is the procedure of finding the value of one or more parameters for a given statistic which makes the ________

Choices

Choice (4) Response
a.

Probability function a maximum

b.

Probability function a minimum

c.

Likelihood distribution a maximum

d.

Likelihood distribution a minimum

Question number: 97

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

MCQ▾

Question

A sample of size n is drawn from each of the four a normal populations which have the same variance σ2 . the means of the four populations are +b+c , a+bc , ab+c and abc . The MLE of a is

Choices

Choice (4) Response
a.

a^=x¯2

b.

a^=4x¯

c.

a^=2x¯

d.

a^=x¯

Question number: 98

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

MCQ▾

Question

The estimate of the MLE(α) of a population having density function 2α2(αx),0<α<x is

Choices

Choice (4) Response
a.

αx

b.

2α2

c.

α

d.

23α

Question number: 99

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

MCQ▾

Question

In a random sampling from Normal population N(μ,σ2), the maximum likelihood estimators of mean, MLE(μ ) is

Choices

Choice (4) Response
a.

Biased

b.

Unbiased

c.

Unbiased and Consistent

d. None of the above

Question number: 100

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

MCQ▾

Question

Let x1,x2,,xn denote a random sample of size n from a uniform population with p. d. f.

f(x,θ)=1;θ12xθ+12,<θ< . The MLE of θ is

Choices

Choice (4) Response
a.

MLE is Unique

b.

MLE lies between xn12(x1,x2,,xn)x1+12

c.

MLE does not exists

d. All of the above

Sign In