Probability-Inversion (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 3 of 3

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Question number: 1

» Probability » Inversion

MCQ▾

Question

Let be a real random variable whose characteristic function is integrable over so . Then has a bounded continuous density on given by________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 2

» Probability » Inversion

MCQ▾

Question

Let be the characteristic function of a probability measure on . If then the inversion formula is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 3

» Probability » Inversion

MCQ▾

Question

Which of the following statement is/are correct?

Choices

Choice (4) Response

a.

Two or more random variables cannot follow same characteristic function.

b.

The characteristic function of random variable uniquely characterizes its distribution.

c.

Question does not provide sufficient data or is vague

d.

All of the above

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