ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 72 - 78 of 253
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Question 72
Question
MCQ▾MLE՚s are ________ consistent estimators.
Choices
Choice (4) | Response | |
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a. | Not | |
b. | May be | |
c. | Always | |
d. | All of the above |
Question 73
Question
MCQ▾Consider a population having the density function . Maximum Likelihood Estimators MLE of the parameter is given by
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Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. | x |
Question 74
Question
MCQ▾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 | |
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a. | Unique | |
b. | ||
c. | Not unique | |
d. | None of the above |
Question 75
Question
MCQ▾In a random sampling from Normal population the Maximum Likelihood estimator for, is
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Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 76
Question
MCQ▾Maximum Likelihood Estimators (MLE) of the parameter λ of a Poisson distribution is
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Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 77
Question
MCQ▾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
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Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 78
Question
MCQ▾An unbiased estimator of is the Minimum Variance Unbiased Estimator (MVUE) estimator if ________. Where is any other unbiased estimator of .
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Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |