Generalized Probability Functions
Joint Authors
Martinez, Alexandre Souto
Terçariol, César Augusto Sangaletti
González, Rodrigo Silva
Source
Advances in Mathematical Physics
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-01-05
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
From the integration of nonsymmetrical hyperboles, a one-parameter generalization of the logarithmic function is obtained.
Inverting this function, one obtains the generalized exponential function.
Motivated by the mathematical curiosity, we show that these generalized functions are suitable to generalize some probability density functions (pdfs).
A very reliable rank distribution can be conveniently described by the generalized exponential function.
Finally, we turn the attention to the generalization of one- and two-tail stretched exponential functions.
We obtain, as particular cases, the generalized error function, the Zipf-Mandelbrot pdf, the generalized Gaussian and Laplace pdf.
Their cumulative functions and moments were also obtained analytically.
American Psychological Association (APA)
Martinez, Alexandre Souto& González, Rodrigo Silva& Terçariol, César Augusto Sangaletti. 2010. Generalized Probability Functions. Advances in Mathematical Physics،Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-454415
Modern Language Association (MLA)
Martinez, Alexandre Souto…[et al.]. Generalized Probability Functions. Advances in Mathematical Physics No. 2009 (2009), pp.1-13.
https://search.emarefa.net/detail/BIM-454415
American Medical Association (AMA)
Martinez, Alexandre Souto& González, Rodrigo Silva& Terçariol, César Augusto Sangaletti. Generalized Probability Functions. Advances in Mathematical Physics. 2010. Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-454415
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454415