Characterization and Dispersive Ordering of the Cauchy, Gauss and Logistics Laws
Document Type
Presentation
Presentation Date
1-16-2010
Abstract or Description
In this talk, I present some results on the characterization and dispersive ordering of the general Cauchy, logistic and normal laws. The characterization of the Cauchy law is accomplished via a convex function of a symmetric random variable, as well a differential equation involving the characteristic function. Results on the characterization of the logistic distribution shed further light into its application in a wide variety of areas including the analysis of quantal response and bioassay data, as well economic and demographic data. These results lead to necessary and sufficient conditions for the stochastic and dispersive ordering of the corresponding absolute random variables
Sponsorship/Conference/Institution
Joint Mathematics Meetings (JMM)
Location
San Francisco, CA
Recommended Citation
Oluyede, Broderick O..
2010.
"Characterization and Dispersive Ordering of the Cauchy, Gauss and Logistics Laws."
Department of Mathematical Sciences Faculty Presentations.
Presentation 386.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/386