Kolmogorov’s Axioms for Bihyperbolic Valued Probabilities
Authors
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28, Dolua Dakshinpara Haridas Primary School, Beldanga, Murshidabad,Pin-742133, West Bengal ,IN
Soumen Mondal -
Depatment of Mathematics, Kazi Nazrul University, Nazrul Road, P.O.- Kalla C.H.,Asansol-713340, West Bengal ,INChinmay Ghosh
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Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia,741235, West Bengal ,INSanjib Kumar Datta
DOI:
https://doi.org/10.18311/jims/2024/36135Keywords:
Bihyperbolic numbers, Canonical representation, Null cone, Bihyperbolic valued probabilistic measure, Conditional probability.Abstract
In this paper we introduce probabilistic measure which takes values in bihyperbolic numbers and generalize Kolmogorov’s system of axioms. We study the zero divisors of the set of bihyperbolic numbers and keeping it in mind, we define conditional bihyperbolic probability and prove bihyperbolic analogues of the multiplication theorem, of the law of total probability and Bayes’ theorem.
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Copyright (c) 2024 Soumen Mondal, Chinmay Ghosh , Sanjib Kumar Datta
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
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