A New Special Function and Its Application in Probability
Joint Authors
Rafik, Zeraoulia
Salas, Alvaro H.
Ocampo, David L.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this note we present a new special function that behaves like the error function and we provide an approximated accurate closed form for its CDF in terms of both Chèbyshev polynomials of the first kind and the error function.
Also we provide its series representation using Padé approximant.
We show a convincing numerical evidence about an accuracy of 10-6 for the approximants in the sense of the quadratic mean norm.
A similar approach may be applied to other probability distributions, for example, Maxwell–Boltzmann distribution and normal distribution, such that we show its application using both of those distributions.
American Psychological Association (APA)
Rafik, Zeraoulia& Salas, Alvaro H.& Ocampo, David L.. 2018. A New Special Function and Its Application in Probability. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1173488
Modern Language Association (MLA)
Rafik, Zeraoulia…[et al.]. A New Special Function and Its Application in Probability. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1173488
American Medical Association (AMA)
Rafik, Zeraoulia& Salas, Alvaro H.& Ocampo, David L.. A New Special Function and Its Application in Probability. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1173488
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173488