Statistical Inference and Hypothesis TestingEstimation Methods of Maximum Likelihood (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 28  32 of 35
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Question number: 28
» 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. 


b. 


c.  α 

d. 


Question number: 29
» 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.  Biased 

b.  Unbiased 

c.  Unbiased and Consistent 

d.  None of the above 

Question number: 30
» 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 is Unique 

b.  MLE lies between 

c.  MLE does not exists 

d.  All of the above 

Question number: 31
» 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: 32
» 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. 

