Statistical Inference and Hypothesis TestingCharacteristics of Good Estimator (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 15  18 of 54
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Question number: 15
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If are random observations on a Bernoulli variate X taking the value 1 with probability and the value 0 with the probability then is a Consistent estimator of . This statement is
Choices
Choice (4)  Response  

a.  Since is not a consistent estimator of , this is false. 

b.  False 

c.  True 

d.  None of the above 

Question number: 16
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Let be a random sample of size n = 3 from a distribution with mean and variance . Then is a unbiased estimator of
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 17
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
An estimator is said to be sufficient for a parameter, if it contains
Choices
Choice (4)  Response  

a.  If the conditional distribution of , given T is independent of the parameter. 

b.  All the information in the sample regarding the parameter. 

c.  Both a. and b. are correct 

d.  None of the above 

Question number: 18
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
A random sample of size 5 is drawn from a normal population with unknown mean . Then is a unbiased estimator of
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

