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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

» Probability » Inversion

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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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