ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 221 - 225 of 253
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Question number: 221
» Statistical Inference and Hypothesis Testing » Optimal Properties of Maximum Likelihood Estimators
Question
What properties of estimators are usually held by Maximum Likelihood estimators (MLE’s)?
Choices
| Choice (4) | Response | |
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| a. | A MLE is not necessarily Unbiased |
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| b. | A MLE may not be uniformly minimum variance unbiased estimator (UMVUE) |
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| c. | A MLE is not necessarily unique |
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| d. | All a. , b. and c. are correct |
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Question number: 222
» Statistical Inference and Hypothesis Testing » Moments and Least Squares
Question
In estimating the parameters of a linear function, most commonly used method of estimation is
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | Method of Least squares |
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| b. | Method of moments |
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| c. | Method of minimum chi-square method |
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| d. | Method of minimum Variance |
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Question number: 223
» Statistical Inference and Hypothesis Testing » Sufficient Estimator
Question
An estimator is said to be sufficient for a parameter, if it
Choices
| Choice (4) | Response | |
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| a. | If it converges to the parameter in probability |
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| b. | Contains all the information in the sample regarding the parameter. |
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| c. | Contains no information in the sample regarding the parameter |
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| d. | Question does not provide sufficient data or is vague |
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Question number: 224
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Efficiency of sample median as compared to mean as an estimate of the mean of a normal population is:
Choices
| Choice (4) | Response | |
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| a. | 22 percent |
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| b. | 360 percent |
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| c. | 64 percent |
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| d. | 157 percent |
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Question number: 225
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If is the most efficient estimator with variance and is any other estimator with variance , then the efficiency E of is defined as
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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