ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 308 - 310 of 469

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Question number: 308

» Probability » Probability Distributions » Lognormal

MCQ▾

Question

Suppose that Equation has the lognormal distribution with parameters Equation and Equation . The distribution of Equation is a 2-parameter exponential family with natural statistics given by________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 309

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

Equation and Equation are discrete random variables which are jointly distributed with the following probability function Equation

X and Y are discrete random variables

Finding the correct probability distribution

x

-1

0

1

1

Equation

Equation

Equation

Y

0

Equation

0

Equation

-1

Equation

Equation

Equation

What is the value of Equation ?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 310

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

MCQ▾

Question

Suppose that Equation is a sequence of random variables (defined on the same probability space) and that the distribution of Equation converges to the distribution of the constant Equation . Then________.

Choices

Choice (4) Response

a.

Equation as Equation Equation -th mean

b.

Equation almost everywhere

c.

Equation as Equation in probability

d.

All of the above

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