Advances and Applications in Statistics
Volume 44, Issue 3, Pages 191 - 200
(March 2015) http://dx.doi.org/10.17654/ADASMar2015_191_200 |
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A NOTE ON UNEQUAL PROBABILITY SAMPLING IN BOOTSTRAP SAMPLING
Mezbahur Rahman and Mohammad Shaha Alam Patwary
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Abstract: Bootstrap sampling is gaining popularity as computational tools are becoming more accessible. In bootstrap sampling, usually, samples of equal sizes are selected with replacement and with equal probability in obtaining each element of the original sample at hand. It is the key question in the researchers’ mind that whether unequal sampling would provide more accurate results. Here we introduce three alternative unequal probability sampling procedures. A comparison among the three unequal probability choices and the equal probability sampling are conducted using the Monte Carlo simulation. |
Keywords and phrases: Epanechnikov kernel, kernel density estimate, kernel smoothing parameter, normal mixture distribution, normal probability density. |
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