Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 197  201 of 222
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Question number: 197
» 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 Unbiased 

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

c.  A MLE is not necessarily unique 

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

Question number: 198
» 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 Least squares 

b.  Method of moments 

c.  Method of minimum chisquare method 

d.  Method of minimum Variance 

Question number: 199
» 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.  If it converges to the parameter in probability 

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

c.  Contains no information in the sample regarding the parameter 

d.  Question does not provide sufficient data or is vague 

Question number: 200
» 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.  22 percent 

b.  360 percent 

c.  64 percent 

d.  157 percent 

Question number: 201
» 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. 

