Statistical Inference and Hypothesis TestingCramerRao Inequality (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 1  5 of 7
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Question number: 1
» Statistical Inference and Hypothesis Testing » CramerRao Inequality
Question
Which of the following is not a regularity condition for CramerRao Inequality?
Choices
Choice (4)  Response  

a.  The information function exists and is positive for all  
b.  The derivative exists for all  
c.  The parameter space , can have only positive values.  
d.  The differentiation and integration of are interchangeable. In symbols

Question number: 2
» Statistical Inference and Hypothesis Testing » CramerRao Inequality
Question
Regularity conditions of CramerRao inequality are related to
Choices
Choice (4)  Response  

a.  Neither (i) and (ii)  
b.  Differentiability of functions  
c.  Integrability of functions  
d.  Both b. and c. are correct 
Question number: 3
» Statistical Inference and Hypothesis Testing » CramerRao Inequality
Question
Which of the following options is appropriate for the CramerRao Inequality, where
is an unbiased estimator 
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 4
» Statistical Inference and Hypothesis Testing » CramerRao Inequality
Question
CramerRao Inequality provides a ________ to the variance of an unbiased estimator for a parameter.
Choices
Choice (4)  Response  

a.  Upper bound  
b.  Lower bound  
c.  Upper bound and Lower bound  
d.  None of the above 
Question number: 5
» Statistical Inference and Hypothesis Testing » CramerRao Inequality
Question
CramerRao inequality with regard to the variance of an estimator provides
Choices
Choice (4)  Response  

a.  Lower bond on the variance  
b.  Asymptotic variance of an estimator  
c.  Upper bound on the variance  
d.  All of the above 