Part 2 02: Put (True) or (False). Write True or False for six questions from the following question. Write the reasons for correct answers, and correct any statement/answer if it is false 1. As the sample size increases, the variance of the estimator decreases. 2. The mean of a normal distribution is the mean of the sample. 3. As the sample size decreases, the estimators are less accuracy. 4. If an estimator is consistent, it is also unbiased. 5. An unbiased estimator is consistent only if the variance of the estimator converges to zero. 6. The sufficient statistic is used for discrete data, while the consistent statistic is used for continuous data. 7. Two estimators are consistent, are asymptotically unbiased.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Part 2
Q2: Put (True) or (False). Write True or False for six questions from the following question.
Write the reasons for correct answers, and correct any statement/answer if it is false
1. As the sample size increases, the variance of the estimator decreases.
2. The mean of a normal distribution is the mean of the sample.
3. As the sample size decreases, the estimators are less accuracy.
4. If an estimator is consistent, it is also unbiased.
5. An unbiased estimator is consistent only if the variance of the estimator converges
to zero.
6. The sufficient statistic is used for discrete data, while the consistent statistic is used for
continuous data.
7. Two estimators are consistent, are asymptotically unbia sed.
Transcribed Image Text:Part 2 Q2: Put (True) or (False). Write True or False for six questions from the following question. Write the reasons for correct answers, and correct any statement/answer if it is false 1. As the sample size increases, the variance of the estimator decreases. 2. The mean of a normal distribution is the mean of the sample. 3. As the sample size decreases, the estimators are less accuracy. 4. If an estimator is consistent, it is also unbiased. 5. An unbiased estimator is consistent only if the variance of the estimator converges to zero. 6. The sufficient statistic is used for discrete data, while the consistent statistic is used for continuous data. 7. Two estimators are consistent, are asymptotically unbia sed.
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