Polynomial logistic distribution associated with a cubic polynomial. Issue 14 (18th July 2017)

• Record Type: Journal Article
• Authors: Aksoy, Ümit; Ostrovska, Sofiya; Özban, Ahmet Yaşar
• Is Part Of: Communications in statistics. Volume 46:Issue 14(2017)
• Page Start: 7007
• Page End: 7019
• Publication Date: 2017-07-18
• Subjects: Bimodal distribution -- Exchange rates -- Failure rate -- Polynomial logistic distribution -- Power logistic distribution.; Primary 60E05, 62P05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2016.1140781
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: Let P ( x ) be a polynomial monotone increasing on ( − ∞, +∞). The probability distribution possessing the distribution function 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.