ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 135 - 139 of 253
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Question number: 135
» Statistical Inference and Hypothesis Testing » Optimal Properties of Maximum Likelihood Estimators
Question
Which of the following properties of MLE is not correct?
Choices
| Choice (4) | Response | |
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| a. | MLE is always unique |
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| b. | If a sufficient statistic exists, it is a function of the Maximum Likelihood estimators. |
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| c. | If a minimum variance bound (MVB) unbiased estimator exists, maximum likelihood estimator provides it. |
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| d. | When maximum likelihood estimators exists, it is most efficient for large samples under the assumptions that the distribution of the estimators tends to normal. |
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Question number: 136
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
It is given that sample size , sample mean and sample standard deviation . Then 95 % Confidence Interval would be
Choices
| Choice (4) | Response | |
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| a. |
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| b. |
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| c. |
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| d. | None of the above |
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Question number: 137
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
It is given that , and . Then the 95 % Confidence Interval for is
Choices
| Choice (4) | Response | |
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| a. |
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Question number: 138
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
If and are two estimators for , such that and , then
Choices
| Choice (4) | Response | |
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| a. |
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| b. |
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| c. | Either or |
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| d. | None of the above |
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Question number: 139
» Statistical Inference and Hypothesis Testing » Moments and Least Squares
Question
Generally the estimators obtained by the method of moments as compared to Maximum Likelihood estimators are:
Choices
| Choice (4) | Response | |
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| a. | Equally Efficient |
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| b. | More Efficient |
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| c. | Less Efficient |
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| d. | All of the above |
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