Statistical Inference and Hypothesis TestingEstimation Methods of Maximum Likelihood (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 1  5 of 35
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Question number: 1
» 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.  None of the above 

Question number: 2
» 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 Unbiased 

b.  Mean is biased 

c.  Both a. and b. are correct 

d.  Question does not provide sufficient data or is vague 

Question number: 3
» 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.  False 

b.  True 

c.  Always Unbiased estimators 

d.  Question does not provide sufficient data or is vague 

Question number: 4
» 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: 5
» 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.  Not an Unbiased estimate of 

b.  Unbiased estimate of 

c.  Unbiased estimate of 

d.  Question does not provide sufficient data or is vague 
