ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 65  70 of 253
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Question number: 65
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
If T is the MLE of and is one to one function of , then is the MLE of . This is known as the
Choices
Choice (4)  Response  

a.  Asymptotic Normality of MLE  
b.  Consistency property of MLE  
c.  Invariance property of MLE  
d.  All of the above 
Question number: 66
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
If
Where is any other unbiased estimator of . Then the statistic is known as
Choices
Choice (4)  Response  

a.  Efficient Estimator  
b.  Sufficient Estimator  
c.  Minimum Variance Unbiased Estimator (MVUE)  
d.  Consistent Estimator 
Question number: 67
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
In a random sampling from Normal population the likelihood estimators of mean and variance are
Choices
Choice (4)  Response  

a.  Variance is biased  
b.  Mean is unbiased  
c.  Both a. and b. are correct  
d.  Question does not provide sufficient data or is vague 
Question number: 68
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
MLE’s are always consistent and unbiased estimators. This statement is
Choices
Choice (4)  Response  

a.  True  
b.  False  
c.  Always Unbiased estimators  
d.  None of the above 
Question number: 69
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
In a random sampling from Normal population the Maximum Likelihood estimator for is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 70
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
The estimate of the of a population having density function
is
Choices
Choice (4)  Response  

a.  Unbiased estimate of  
b.  Not an Unbiased estimate of  
c.  Unbiased estimate of  
d.  All of the above 