ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 327 - 332 of 472

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Question number: 327

» Probability » Probability Distributions » Lognormal

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MCQ▾

Question

Maximum Likelihood estimator of lognormal distribution for a series of with parameters and are________.

Choices

Choice (4)Response

a.

and

b.

and

c.

and

d.

Question does not provide sufficient data or is vague

Question number: 328

» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution

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MCQ▾

Question

Consider the following events and then choose the option in which the given events are same.

I) does not converges to as .

II) converges to as

III) For some for infinitely many

IV) For some for infinitely many .

Choices

Choice (4)Response

a.

II and IV

b.

I and III

c.

II and III

d.

None of the above

Question number: 329

» Probability » Probability Distributions » Distributions of Functions of Random Variables

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Question

Suppose now that and are real-valued random variables for an experiment, so that is random vector taking values in a subset of Suppose that with and . Then ________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 330

» Probability » Probability Distributions » Gamma

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MCQ▾

Question

Which of the following is equivalent to for .

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 331

» Probability » Probability Distributions » Lognormal

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MCQ▾

Question

A three-point estimate of a lognormal distribution parameters and is________.

Choices

Choice (4)Response

a.

and

b.

and

c.

and

d.

and

Question number: 332

» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution

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MCQ▾

Question

Let for and let Let and be the corresponding probability density functions and let and be the corresponding distribution functions. Then which of the following option is/are correct?

Choices

Choice (4)Response

a.

as

b.

as for all

c.

as for all

d.

Question does not provide sufficient data or is vague

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