Statistical Inference and Hypothesis TestingCharacteristics of Good Estimator (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 47  51 of 54
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Question number: 47
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
For a normal population , the variance of the sample mean and sample variance are given . Then the efficiency of mean against median is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 48
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
In a class of consistent estimators for a parameter, which one will you consider as the most efficient estimator?
Choices
Choice (4)  Response  

a.  One whose mean and variance both are less than the other estimators. 

b.  One whose sampling variance is less than the other estimators. 

c.  One whose mean is less than the other estimators. 

d.  Question does not provide sufficient data or is vague 

Question number: 49
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If T is an unbiased estimator for , then is biased estimator of
Choices
Choice (4)  Response  

a. 


b.  2θ 

c. 


d. 


Question number: 50
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
An estimator is efficient, if its variance is________ the variance of any other estimator.
Choices
Choice (4)  Response  

a.  More than 

b.  Similar to 

c.  Less than 

d.  Either b or c 

Question number: 51
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
An estimator is considered to be the best if its distribution is
Choices
Choice (4)  Response  

a.  Concentrated about the true parameter value 

b.  Normal 

c.  Discrete 

d.  Continuous 
