Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 66  71 of 222
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Question number: 66
» 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 

Question number: 67
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Which of the following are the methods of Estimation?
Choices
Choice (4)  Response  

a.  Method of Minimum Chisquare 

b.  Method of Maximum Likelihood Estimation 

c.  Method of Minimum Variance 

d.  All a. , b. and c. are correct 

Question number: 68
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
In sampling from a normal population , MLE ( ) is the
Choices
Choice (4)  Response  

a.  Most efficient estimator 

b.  Consistent estimator 

c.  Unbiased estimator 

d.  All a. , b. and c. are correct 

Question number: 69
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
In a random sampling from Normal population suppose the MLE of mean is , then simultaneous estimation of is
Choices
Choice (4)  Response  

a.  Biased 

b.  Unbiased 

c.  Consistent and unbiased 

d.  Consistent and not unbiased 

Question number: 70
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
If a sufficient estimator exists, then it will be a function of the ________ Estimator.
Choices
Choice (4)  Response  

a.  Consistent 

b.  Maximum Likelihood 

c.  Unbiased 

d.  All of the above 

Question number: 71
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
Uniformly minimumvariance unbiased estimator (UMVUE) or minimumvariance unbiased estimator (MVUE) is an unbiased estimator that has ________ than any other unbiased estimator for all possible values of the parameter.
Choices
Choice (4)  Response  

a.  Maximum variance 

b.  Minimum variance 

c.  zero variance 

d.  None of the above 
