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One and two sample confidence intervals for estimating the mean of skewed populations: an empirical comparative study

Author

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  • Ayman Baklizi
  • B.M. Golam Kibria

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.

Suggested Citation

  • Ayman Baklizi & B.M. Golam Kibria, 2009. "One and two sample confidence intervals for estimating the mean of skewed populations: an empirical comparative study," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(6), pages 601-609.
    • Handle: RePEc:taf:japsta:v:36:y:2009:i:6:p:601-609
    DOI: 10.1080/02664760802474298
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    Citations

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    Cited by:

    1. José Dias Curto, 2023. "Inference about the arithmetic average of log transformed data," Statistical Papers, Springer, vol. 64(1), pages 179-204, February.
    2. N. Balakrishnan & N. Martín & L. Pardo, 2017. "Empirical phi-divergence test statistics for the difference of means of two populations," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 101(2), pages 199-226, April.
    3. B. M. Golam Kibria & Shipra Banik, 2013. "Parametric and nonparametric confidence intervals for estimating the difference of means of two skewed populations," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(12), pages 2617-2636, December.

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