Stochastic Processes via the Pathway Model

Entropy

Arak M. Mathai¹  Hans J. Haubold¹ 

[1] Centre for Mathematical and Statistical Sciences, Peechi Campus, KFRI, Peechi-680653, Kerala, India

关键词: data analysis;    model building;    input-output type stochastic models;    thicker or thinner-tailed models;    pathway idea;    pathway model;    solar neutrinos;   

DOI  :  10.3390/e17052642

来源: mdpi

【 摘 要 】

After collecting data from observations or experiments, the next step is to analyze the data to build an appropriate mathematical or stochastic model to describe the data so that further studies can be done with the help of the model. In this article, the input-output type mechanism is considered first, where reaction, diffusion, reaction-diffusion, and production-destruction type physical situations can fit in. Then techniques are described to produce thicker or thinner tails (power law behavior) in stochastic models. Then the pathway idea is described where one can switch to different functional forms of the probability density function through a parameter called the pathway parameter. The paper is a continuation of related solar neutrino research published previously in this journal.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland