{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:23:47Z","timestamp":1760243027795,"version":"build-2065373602"},"reference-count":40,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2015,4,24]],"date-time":"2015-04-24T00:00:00Z","timestamp":1429833600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/e17052642","type":"journal-article","created":{"date-parts":[[2015,4,24]],"date-time":"2015-04-24T10:01:59Z","timestamp":1429869719000},"page":"2642-2654","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Stochastic Processes via the Pathway Model"],"prefix":"10.3390","volume":"17","author":[{"given":"Arak","family":"Mathai","sequence":"first","affiliation":[{"name":"Centre for Mathematical and Statistical Sciences, Peechi Campus, KFRI, Peechi-680653, Kerala, India"},{"name":"Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC H3A2K6, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0104-2355","authenticated-orcid":false,"given":"Hans","family":"Haubold","sequence":"additional","affiliation":[{"name":"Centre for Mathematical and Statistical Sciences, Peechi Campus, KFRI, Peechi-680653, Kerala, India"},{"name":"Office for Outer Space Affairs, United Nations, P.O. 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