Statistical Inference and Hypothesis TestingCharacteristics of Good Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 49  54 of 54
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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 
Question number: 52
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Efficiency of sample median as compared to mean as an estimate of the mean of a normal population is:
Choices
Choice (4)  Response  

a.  22 percent  
b.  360 percent  
c.  64 percent  
d.  157 percent 
Question number: 53
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If is the most efficient estimator with variance and is any other estimator with variance , then the efficiency E of is defined as
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 54
» 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 by and . Then which of the following is true?
Choices
Choice (4)  Response  

a.  Sample mean is more efficient estimator for than the sample median  
b.  Sample mean and Sample median are efficient  
c.  Sample median is more efficient estimator for than the sample mean  
d.  All of the above 