Properties and application of the form $A\cdot exp(-(x-c)^2/(a(x-c)+2b^2))$ for investigation of ultra high energy cascades

Simple item page
dc.creatorKirillov, A. A.
dc.creatorKirillov, I. A.
dc.date2009-02-12
dc.date.accessioned2026-07-07T12:40:57Z
dc.date.available2026-07-07T12:40:57Z
dc.descriptionThe form $A\cdot exp(-(x-c)^2 /(a(x-c)+2b^2))$ is an asymmetric distribution intermediate between the normal and exponential distributions. Some specific properties of the form are presented and methods of approximation are offered. Appropriate formulae and table are presented. The practical problems of approximation by the form are discussed with connection to the quality of original data. Application of the methods is illustrated by using in the problem of calculating and studying distribution function of maximum ultra high energy atmospheric showers. Relationship with exponential and normal distributions makes usage of the form to be effective in practice.
dc.description21 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0902.2113
dc.identifierhttp://arxiv.org/abs/0902.2113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219609
dc.subjectData Analysis, Statistics and Probability
dc.subjectSpace Physics
dc.titleProperties and application of the form $A\cdot exp(-(x-c)^2/(a(x-c)+2b^2))$ for investigation of ultra high energy cascades
dc.typetext

Files

Collections

arXiv