Statistical Inference and Hypothesis TestingFactorization Theorem (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 3  5 of 5
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Question number: 3
» Statistical Inference and Hypothesis Testing » Factorization Theorem
Question
Factorization theorem for sufficiency is known as
Choices
Choice (4)  Response  

a.  RaoBlackwell Theorem 

b.  FisherNeyman Theorem 

c.  Bernoulli Theorem 

d.  CramerRao Theorem 

Question number: 4
» Statistical Inference and Hypothesis Testing » Factorization Theorem
Question
If is a random sample from a density functionfor where are independent of , then any statistics will be called as sufficient statistics if the joint probability density function can be expressed as
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 5
» Statistical Inference and Hypothesis Testing » Factorization Theorem
Question
If is a statistics for a parameter of the density function and for i = 1,2, …, n can be factorized as , Then is a ________
Choices
Choice (4)  Response  

a.  Efficient Estimator 

b.  Consistent Estimator 

c.  Unbiased Estimator 

d.  Sufficient Estimator 
