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Polynomial logistic distribution associated with a cubic polynomial

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  • Ümit Aksoy
  • Sofiya Ostrovska
  • Ahmet Yaşar Özban

Abstract

Let P(x) be a polynomial monotone increasing on ( − ∞, +∞). The probability distribution possessing the distribution function F(x)=11+e-P(x)$F(x)=\frac{1}{1+e^{-P(x)}}$ is called the polynomial logistic distribution with associated polynomial P. This has recently been introduced by Koutras et al., who have also demonstrated its importance for modeling financial data. In this article, the properties of the polynomial logistic distribution with an associated polynomial of degree 3 have been investigated in detail. An example of polynomial logistic distribution describing daily exchange rate fluctuations for the US dollar versus the Turkish lira is provided.

Suggested Citation

  • Ümit Aksoy & Sofiya Ostrovska & Ahmet Yaşar Özban, 2017. "Polynomial logistic distribution associated with a cubic polynomial," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(14), pages 7007-7019, July.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:14:p:7007-7019
    DOI: 10.1080/03610926.2016.1140781
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