ProbabilityModes 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
Question
If as with probability 1 then,
Choices
Choice (4)  Response  

a.  as in probability. 

b.  as in rth 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
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
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
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 
