Statistical Inference and Hypothesis TestingSufficient Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 5  8 of 8
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Question number: 5
» Statistical Inference and Hypothesis Testing » Sufficient Estimator
Question
Let be a random sample from . Then the sufficient estimator for is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 6
» Statistical Inference and Hypothesis Testing » Sufficient Estimator
Question
If a statistic provides as much information as the random variable could provide, Then T is a ________ Statistic
Choices
Choice (4)  Response  

a.  Efficient 

b.  Unbiased 

c.  Sufficient 

d.  Consistent 

Question number: 7
» 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: 8
» Statistical Inference and Hypothesis Testing » Sufficient Estimator
Question
Which of the definition is true for Sufficiency of an estimator?
Choices
Choice (4)  Response  

a.  A statistic is sufficient estimator of parameter if and only if the likelihood function (joint p. d. f. of the sample) can be expressed as where is the p. d. f. of statistic and is a function of sample observations only independent of 

b.  If is a estimator of parameter based on a sample of size n from the population with density such that the conditional distribution of given T is independent of then T is sufficient estimator of . 

c.  An estimator is said to be sufficient for if it provides all the information contained in the sample about the parametric function 

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