Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 49  53 of 222
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Question number: 49
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Consider a population having the density function . Maximum Likelihood Estimators MLE of the parameter is given by
Choices
Choice (4)  Response  

a. 


b. 


c.  x 

d. 


Question number: 50
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Let be a sample of independent observations from the uniform distribution on (θ, θ+1), where the value of the parameter is unknown Then the maximum Likelihood Estimator of θ is
Choices
Choice (4)  Response  

a.  Not unique 

b. 


c.  Unique 

d.  None of the above 

Question number: 51
» 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: 52
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Maximum Likelihood Estimators (MLE) of the parameter λ of a Poisson distribution is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 53
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
A sample of size n is drawn from each of the four a normal populations which have the same variance . the means of the four populations are , , and . The MLE of is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

