Statistical Inference and Hypothesis TestingMinimum Variance Unbiased Estimators (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 11  13 of 15
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Question number: 11
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
If and are two unbiased estimators of based on the random sample , then is said to be UMVUE if and only if
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 12
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
If is an MVU estimator of for all and is any other unbiased estimator of with efficiency , then the correlation coefficient between is given by
all
Choices
Choice (4)  Response  

a.  for all 

b.  for all 

c.  for all 

d.  for all 

Question number: 13
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
A Minimum Variance Unbiased Estimator is said to be unique if for any other estimator ,
Choices
Choice (4)  Response  

a. 


b. 


c.  Neither (i) nor (ii) 

d.  Question does not provide sufficient data or is vague 
