ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 70  74 of 246
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Question number: 70
» 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 

Question number: 71
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
The equation of Maximum Likelihood Estimator (MLE) is given by
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 72
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
MLE’s are ________ consistent estimators.
Choices
Choice (4)  Response  

a.  Not 

b.  Always 

c.  May be 

d.  None of the above 

Question number: 73
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Consider a population having the density function . Maximum Likelihood Estimators MLE of the parameter is given by
Choices
Choice (4)  Response  

a. 


b. 


c.  x 

d. 


Question number: 74
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Let be a sample of independent observations from the uniform distribution on (θ, θ+1), where the value of the parameter is unknown Then the maximum Likelihood Estimator of θ is
Choices
Choice (4)  Response  

a.  Not unique 

b. 


c.  Unique 

d.  None of the above 
