ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 99  102 of 253
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Question number: 99
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
In a random sampling from Normal population the maximum likelihood estimators of mean, ) is
Choices
Choice (4)  Response  

a.  Unbiased 

b.  Unbiased and Consistent 

c.  Biased 

d.  All of the above 

Question number: 100
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Let denote a random sample of size n from a uniform population with p. d. f.
. The MLE of is
Choices
Choice (4)  Response  

a.  MLE does not exists 

b.  MLE is Unique 

c.  MLE lies between 

d.  None of the above 

Question number: 101
» 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: 102
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Let be a random sample from the distribution with pdf
; , , the MLE of is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

