One and two sample confidence intervals for estimating the mean of skewed populations: an empirical comparative study |
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| Authors: | Ayman Baklizi B. M. Golam Kibria |
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| Affiliation: | 1. Department of Mathematics and Physics , College of Arts and Sciences, Qatar University , Doha , Qatar;2. Department of Statistics , Florida International University , University Park, Miami , FL , USA |
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| Abstract: | In this paper we consider and propose some confidence intervals for estimating the mean or difference of means of skewed populations. We extend the median t interval to the two sample problem. Further, we suggest using the bootstrap to find the critical points for use in the calculation of median t intervals. A simulation study has been made to compare the performance of the intervals and a real life example has been considered to illustrate the application of the methods. |
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| Keywords: | bootstrapping coverage probability interval estimation Johnson's t mean Student's t skewness |
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