Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 109  112 of 222
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Question number: 109
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
Which of the following results are true for Minimum Variance Unbiased Estimator (MVUE) 
Choices
Choice (4)  Response  

a.  If nd are MVUE of and then will be an MVUE of 

b.  The correlation coefficient between a most efficient estimator and any other estimator with efficiency is . 

c.  MVUE is unique 

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

Question number: 110
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If an estimator of population parameter converges in probability to as n tends to infinity is said to be
Choices
Choice (4)  Response  

a.  Efficient 

b.  Consistent 

c.  Unbiased 

d.  Sufficient 

Question number: 111
» Statistical Inference and Hypothesis Testing » Optimal Properties of Maximum Likelihood Estimators
Question
Which of the following properties of MLE is not correct?
Choices
Choice (4)  Response  

a.  If a sufficient statistic exists, it is a function of the Maximum Likelihood estimators. 

b.  If a minimum variance bound (MVB) unbiased estimator exists, maximum likelihood estimator provides it. 

c.  MLE is always unique 

d.  When maximum likelihood estimators exists, it is most efficient for large samples under the assumptions that the distribution of the estimators tends to normal. 

Question number: 112
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
It is given that sample size , sample mean and sample standard deviation . Then 95 % Confidence Interval would be
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 
