ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 348  352 of 472
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Question number: 348
» Probability » Inversion
Question
Let be a real random variable whose characteristic function is integrable over so . Then has a bounded continuous density on given by________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 349
» Probability » Moment and Probability Generating Functions
Question
For a random variable , if we have the moment generating function , for . Then the distribution of is ________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  Question does not provide sufficient data or is vague 
Question number: 350
» Probability » Kolmogorov's Inequalities
Question
For every and every if be independent random variables on a common probability space with expected value and variance for . and which of the following inequality holds?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 351
» Probability » Kolmogorov's Inequalities
Question
Which of the following is/are correct regarding statement of Kolmogorov’s Inequalities?
Choices
Choice (4)  Response  

a.  Expected value of all random variable is  
b.  The random variables involved are independent.  
c.  Random variables involved share common probability space.  
d.  All a. , b. and c. are correct 
Question number: 352
» Probability » Inversion
Question
Let be the characteristic function of a probability measure on . If then the inversion formula is ________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
