ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 323 - 326 of 472

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Question 323

Question

MCQ▾

If has the gamma distribution with shape parameter then it՚s moment generating function is ________ .

Choices

Choice (4)Response

a.

b.

c.

d.

Question 324

Joint and Marginal Distributions

Question

MCQ▾

Continuous random variables and have a joint distribution with density function

in the region bounded by Find the density function for the marginal distribution of for

Choices

Choice (4)Response

a.

b.

c.

d.

Question 325

Question

MCQ▾

If then in the -th mean implies ________.

Choices

Choice (4)Response

a.

in -th mean.

b.

almost everywhere.

c.

in -th mean.

d.

Question does not provide sufficient data or is vague

Question 326

Question

MCQ▾

Suppose where . Then which of the following statement is correct?

Choices

Choice (4)Response

a.

Then the distribution is a two-parameter exponential family with natural parameters and , and natural statistics and .

b.

Then the distribution is a two-parameter exponential family with natural parameters and , and natural statistics and .

c.

Then the distribution is a two-parameter exponential family with natural parameters and , and natural statistics and .

d.

Then the distribution is a two-parameter exponential family with natural parameters and , and natural statistics and .