Statistical Inference and Hypothesis TestingSufficient Estimator (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 1  4 of 8
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Question number: 1
» Statistical Inference and Hypothesis Testing » Sufficient Estimator
Question
Let be a random sample from a density function . A statistics
is said to be sufficient statistics if the conditional distribution of given T
Choices
Choice (4)  Response  

a.  Independent of S 

b.  Dependent of 

c.  Dependent of 

d.  Independent of 

Question number: 2
» Statistical Inference and Hypothesis Testing » Sufficient Estimator
Question
If a statistics is a sufficient statistics for a parameter of the density function , then the conditional distribution of is ………. of for any value of
Choices
Choice (4)  Response  

a.  Dependent 

b.  Either dependent or Independent 

c.  Independent 

d.  All of the above 

Question number: 3
» Statistical Inference and Hypothesis Testing » Sufficient Estimator
Question
A statistic is called as ________ Estimator for the parameter θ, if the conditional distribution of given T does not depend on θ.
Choices
Choice (4)  Response  

a.  Unbiased 

b.  Maximum Likelihood estimator 

c.  Efficient 

d.  Sufficient 

Question number: 4
» Statistical Inference and Hypothesis Testing » Sufficient Estimator
Question
Let be a random sample from a uniform population on . Then the sufficient estimator for is
Choices
Choice (4)  Response  

a. 


b.  Either (i) or (ii) 

c. 


d.  Question does not provide sufficient data or is vague 
