ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 221  225 of 253
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Question number: 221
» Statistical Inference and Hypothesis Testing » Optimal Properties of Maximum Likelihood Estimators
Question
What properties of estimators are usually held by Maximum Likelihood estimators (MLE’s)?
Choices
Choice (4)  Response  

a.  A MLE is not necessarily unique 

b.  A MLE may not be uniformly minimum variance unbiased estimator (UMVUE) 

c.  A MLE is not necessarily Unbiased 

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

Question number: 222
» Statistical Inference and Hypothesis Testing » Moments and Least Squares
Question
In estimating the parameters of a linear function, most commonly used method of estimation is
Choices
Choice (4)  Response  

a.  Method of minimum Variance 

b.  Method of minimum chisquare method 

c.  Method of moments 

d.  Method of Least squares 

Question number: 223
» Statistical Inference and Hypothesis Testing » Sufficient Estimator
Question
An estimator is said to be sufficient for a parameter, if it
Choices
Choice (4)  Response  

a.  Contains all the information in the sample regarding the parameter. 

b.  If it converges to the parameter in probability 

c.  Contains no information in the sample regarding the parameter 

d.  All of the above 

Question number: 224
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Efficiency of sample median as compared to mean as an estimate of the mean of a normal population is:
Choices
Choice (4)  Response  

a.  157 percent 

b.  360 percent 

c.  22 percent 

d.  64 percent 

Question number: 225
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If is the most efficient estimator with variance and is any other estimator with variance , then the efficiency E of is defined as
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

