Probability-Modes of Convergences of Sequences of Random Variables (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 4 - 7 of 11

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Question number: 4

» Probability » Modes of Convergences of Sequences of Random Variables » With Probability One

MCQ▾

Question

If as with probability 1 then,

Choices

Choice (4) Response

a.

as in probability.

b.

as in r-th mean.

c.

as almost everywhere.

d.

Question does not provide sufficient data or is vague

Question number: 5

» Probability » Modes of Convergences of Sequences of Random Variables » In Mean Square

MCQ▾

Question

If in mean, then ________.

Choices

Choice (4) Response

a.

almost everywhere

b.

in distribution.

c.

in probability.

d.

Both b. and c. are correct

Question number: 6

» Probability » Modes of Convergences of Sequences of Random Variables » In Mean Square

MCQ▾

Question

If then in the -th mean implies ________.

Choices

Choice (4) Response

a.

in -th mean.

b.

in -th mean.

c.

almost everywhere.

d.

All of the above

Question number: 7

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

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.

I and III

b.

II and III

c.

II and IV

d.

None of the above

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