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Ukrainian Mathematical Journal

, Volume 49, Issue 11, pp 1768–1776 | Cite as

On one stochastic model that leads to a stable distribution

  • E. S. Sinaiskii
Brief Communications
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Abstract

We consider an integral equation describing the contagion phenomenon, in particular, the equation of the state of a hereditarily elastic body, and interpret this equation as a stochastic model in which the Rabotnov exponent of fractional order plays the role of density of probability of random delay time. We invesgigate the approximation of the distribution for sums of values with a given density to the stable distribution law and establish the principal characteristics of the corresponding renewal process.

Keywords

Stochastic Model Fractional Order Elastic Body Renewal Process Laplace Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • E. S. Sinaiskii

There are no affiliations available

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