Statistical Inference and Hypothesis TestingEstimation Methods of Maximum Likelihood (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 1  5 of 35
Access detailed explanations (illustrated with images and videos) to 253 questions. Access all new questions we will add tracking exampattern and syllabus changes. Subscription can be renewed yearly absolutely FREE! View Sample Explanation or View Features.
Rs. 200.00 or
How to register?
Question number: 1
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
If T is the MLE of and is one to one function of , then is the MLE of . This is known as the
Choices
Choice (4)  Response  

a.  Asymptotic Normality of MLE 

b.  Consistency property of MLE 

c.  Invariance property of MLE 

d.  All of the above 

Question number: 2
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
In a random sampling from Normal population the likelihood estimators of mean and variance are
Choices
Choice (4)  Response  

a.  Variance is biased 

b.  Mean is unbiased 

c.  Both a. and b. are correct 

d.  Question does not provide sufficient data or is vague 

Question number: 3
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
MLE’s are always consistent and unbiased estimators. This statement is
Choices
Choice (4)  Response  

a.  True 

b.  False 

c.  Always Unbiased estimators 

d.  None of the above 

Question number: 4
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
In a random sampling from Normal population the Maximum Likelihood estimator for is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 5
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
The estimate of the of a population having density function
is
Choices
Choice (4)  Response  

a.  Unbiased estimate of 

b.  Not an Unbiased estimate of 

c.  Unbiased estimate of 

d.  All of the above 
