Statistical Inference and Hypothesis TestingMinimum Variance Unbiased Estimators (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 12  15 of 15
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 246 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 200.00 or
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 

Question number: 14
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
If and are two Minimum Variance Unbiased (MVU) estimators for then
Choices
Choice (4)  Response  

a.  Either or 

b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 15
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
If a most efficient estimator and a less efficient estimator with efficiency tend to joint normality for large samples, has ________ correlation with
Choices
Choice (4)  Response  

a.  No correlation 

b.  Zero 

c.  Negative 

d.  Question does not provide sufficient data or is vague 
