ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 393 - 396 of 469

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Question number: 393

» Probability » Laws of Large Numbers

MCQ▾

Question

Suppose we choose at random Equation numbers from the interval Equation with uniform distribution. If Equation describes the Equation th choice and Equation , then which of the following is correct?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 394

» Probability » Moment and Probability Generating Functions

MCQ▾

Question

Suppose that Equation is a random variable taking values in N. The probability generating function Equation of Equation will satisfy the following properties.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 395

» Probability » Kolmogorov's Inequalities

MCQ▾

Question

Which of the following statement is correct?

Choices

Choice (4) Response

a.

Kolmogorov’s Inequality is a special case of Martingale Maximal Inequality.

b.

Kolmogorov’s Inequality is a special case of Chebyshev’s Inequality.

c.

All of the above

d.

None of the above

Question number: 396

» Probability » Uniqueness and Continuity Theorems

MCQ▾

Question

Let Equation be random variables on Equation such that,

Equation Then, which of the following is correct?

Choices

Choice (4) Response

a.

Equation converges for all Equation .

b.

Equation does not converges for all Equation .

c.

Equation is always increasing.

d.

None of the above

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