Statistical Inference and Hypothesis TestingEstimation Methods of Maximum Likelihood (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 17  21 of 35
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Question number: 17
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Consider a function of the sample values. is said to be Maximum Likelihood Estimator (MLE) if
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 18
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
The maximum Likelihood Estimator of θ in is
Choices
Choice (4)  Response  

a.  Does not exists 

b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 19
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
The principle of Maximum Likelihood consists of finding an estimator, which ________ the likelihood function.
Choices
Choice (4)  Response  

a.  Minimizes 

b.  Maximizes 

c.  Maximizes or Minimizes 

d.  All of the above 

Question number: 20
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
In a random sampling from Normal population suppose the MLE of mean is is given then MLE of is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 21
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Under certain regularity conditions, a maximum likelihood estimator is ________ distributed.
Choices
Choice (4)  Response  

a.  Asymptotically Poisson 

b.  Uniformly 

c.  Asymptotically Normally 

d.  Question does not provide sufficient data or is vague 
