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On the ratio of two independent skewnesses

Author

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  • Mohammad Reza Mahmoudi
  • Roya Nasirzadeh
  • Mahmoud Mohammadi

Abstract

In many fields, the researchers are interested in making inferences about the ratio of skewnesses in two independent populations. In the present paper, the asymptotic distribution for the ratio of the sample skewnesses in two independent populations is established. Then the asymptotic distribution is used to derive the asymptotic confidence interval and to test the hypothesis for the ratio of population's skewnesses. Finally, the applicability of the proposed method is investigated through Monte Carlo simulations.

Suggested Citation

  • Mohammad Reza Mahmoudi & Roya Nasirzadeh & Mahmoud Mohammadi, 2019. "On the ratio of two independent skewnesses," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(7), pages 1721-1727, April.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:7:p:1721-1727
    DOI: 10.1080/03610926.2018.1438627
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    Cited by:

    1. Abbas Bahrampour & Zeynab Avazzadeh & Mohammad Reza Mahmoudi & António M. Lopes, 2022. "Improved Confidence Interval and Hypothesis Testing for the Ratio of the Coefficients of Variation of Two Uncorrelated Populations," Mathematics, MDPI, vol. 10(19), pages 1-15, September.
    2. Mahmoudi, Mohammad Reza & Baleanu, Dumitru & Mansor, Zulkefli & Tuan, Bui Anh & Pho, Kim-Hung, 2020. "Fuzzy clustering method to compare the spread rate of Covid-19 in the high risks countries," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

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