Advances in Probability Theory and Stochastic Analysis

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Probability and Statistics".

Deadline for manuscript submissions: 20 March 2025 | Viewed by 278

Special Issue Editor


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Guest Editor
Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, USA
Interests: probability and stochastic processes; stochastic differential games; copula theory; data science

Special Issue Information

Dear Colleagues,

Recent advances in probability theory and stochastic analysis cover a wide range of theoretical and applied developments. These include the creation of stochastic differential equations (SDEs) for modeling complex systems in various fields such as physics, finance, biology, sports, and medicine. There have been significant strides in understanding and analyzing both Markovian and non-Markovian processes, developing new algorithms for stochastic control problems in finance, economics, and infectious disease modeling, and advancing the theory of mean-field games and multi-agent systems. Additionally, improved methods for parameter estimation and hypothesis testing in complex stochastic models, including Copula analysis, have been developed.  

Nearly thirty years ago, this field was an isolated branch of mathematics. However, significant discoveries over the last decade have transformed it into a crucial domain in mathematics, now closely related to analysis, number theory, and mathematical biology.

This Special Issue gathers various articles that aim to reveal theoretical and applied advances in probability theory and stochastic analysis across other disciplines, including, but not limited to, economics, finance, game theory, sports analysis, statistics, epidemiology, machine learning, and medicine.

Dr. Paramahansa Pramanik
Guest Editor

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Keywords

  • stochastic control
  • stochastic calculus and stochastic differential equations
  • statistical inference and stochastic processes
  • mathematical biology
  • stochastic analysis in sports

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Published Papers (1 paper)

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Research

30 pages, 482 KiB  
Article
Motivation to Run in One-Day Cricket
by Paramahansa Pramanik and Alan M. Polansky
Mathematics 2024, 12(17), 2739; https://doi.org/10.3390/math12172739 - 2 Sep 2024
Abstract
This paper presents a novel approach to identify an optimal coefficient for evaluating a player’s batting average, strike rate, and bowling average, aimed at achieving an optimal team score through dynamic modeling using a path integral method. Additionally, it introduces a new model [...] Read more.
This paper presents a novel approach to identify an optimal coefficient for evaluating a player’s batting average, strike rate, and bowling average, aimed at achieving an optimal team score through dynamic modeling using a path integral method. Additionally, it introduces a new model for run dynamics, represented as a stochastic differential equation, which factors in the average weather conditions at the cricket ground, the specific weather conditions on the match day (including abrupt changes that may halt the game), total attendance, and home field advantage. An analysis of real data is been performed to validate the theoretical results. Full article
(This article belongs to the Special Issue Advances in Probability Theory and Stochastic Analysis)
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