Statistical Inference and Hypothesis TestingEstimation Methods of Maximum Likelihood (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 12  16 of 35
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Question number: 12
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
A sample of size n is drawn from each of the four a normal populations which have the same variance . the means of the four populations are , , and . The MLE of is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 13
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Maximum Likelihood Estimator (MLE) is the same regardless of whether we maximize the likelihood or the loglikelihood function. This statement is
Choices
Choice (4)  Response  

a.  False 

b.  True 

c.  True only if L < 0 

d.  Question does not provide sufficient data or is vague 

Question number: 14
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
MLE’s are always consistent estimators. This Theorem is known as
Choices
Choice (4)  Response  

a.  RaoBlackwell Theorem 

b.  Baye’s Theorem 

c.  Hazoor Bazar’s Theorem 

d.  CramerRao Theorem 

Question number: 15
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
If MLE exists, it is the most efficient in the class of such estimators.
Choices
Choice (4)  Response  

a.  True only for some distributions 

b.  False 

c.  True 

d.  None of the above 

Question number: 16
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
The MLE of the parameter α of the distribution is given by
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

