Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 1 - 5 of 35
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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 | |
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| a. | Asymptotic Normality of MLE |
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| b. | Consistency property of MLE |
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| c. | Invariance property of MLE |
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| d. | None of the above |
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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 Unbiased |
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| b. | Mean is biased |
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| c. | Both a. and b. are correct |
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| d. | Question does not provide sufficient data or is vague |
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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 | |
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| a. | False |
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| b. | True |
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| c. | Always Unbiased estimators |
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| d. | Question does not provide sufficient data or is vague |
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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 | |
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| a. |
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| b. |
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| c. |
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| d. |
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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 | |
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| a. | Not an Unbiased estimate of |
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| b. | Unbiased estimate of |
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| c. | Unbiased estimate of |
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| d. | Question does not provide sufficient data or is vague |
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