ProbabilityModes of Convergences of Sequences of Random Variables (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 8  10 of 11
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Question number: 8
» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution
Question
Let for and let Let and be the corresponding probability density functions and let and be the corresponding distribution functions. Then which of the following option is/are correct?
Choices
Choice (4)  Response  

a.  as for all 

b.  as 

c.  as for all 

d.  None of the above 

Question number: 9
» Probability » Modes of Convergences of Sequences of Random Variables » In Mean Square
Question
Suppose that is a sequence of independent random variables with , ; , then the following option is correct?
Choices
Choice (4)  Response  

a.  almost everywhere 

b.  as 

c.  in probability 

d.  Question does not provide sufficient data or is vague 

Question number: 10
» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution
Question
Consider the following statements and then choose the option in which the given statements are equivalent.
I)
II)
III) for every
IV) for every
V) for every
Choices
Choice (4)  Response  

a.  II and IV 

b.  I, III, V 

c.  I, V 

d.  Question does not provide sufficient data or is vague 
