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28 articles for “Probability Theory”
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Research ArticleOpen accessPhrase in the titleCOMPLEX PROBABILITY THEORY AND PROGNOSTICAbdo Abou JaoudeThe Kolmogorov’s system of axioms can be extended to encompass the imaginary set of numbers and this by adding to the original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C (Real set R with real probability + Imaginary set M with imaginary probability). The objective here is … …Journal of Mathematics and Statistics, Vol. 10, Issue 1 · 9 Dec 2013 · 7,586 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleFormalizing Probability Concepts in a Type TheoryFarida KachapovaIn this paper we formalize some fundamental concepts of probability theory such as the axiomatic definition of probability space, random variables and their characteristics, in the Calculus of Inductive Constructions, which is a variant of type theory and the foundation for the proof assistant COQ. In a type theory every term and proposition should have a type, so in our … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 12 Nov 2018 · 8,547 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleTHE THEORY OF COMPLEX PROBABILITY AND THE FIRST ORDER RELIABILITY METHODAbdo Abou JaoudeThe Kolmogorov’s system of axioms can be extended to encompass the imaginary set of numbers and this by adding to the original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C (Real set R with real probability + Imaginary set M with imaginary probability). The objective here is … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 9 Oct 2013 · 6,903 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Statistical Examination of Winning and Succeeding in SportsElisee JosephCertain statistical strategies that cater to a particular team's style of play can enable a team to establish a competitive advantage in a sporting event. The purpose of this paper is to cultivate a linear statistical model that contributes to the success of a competitive sporting game between two teams. Using a linear success metric, this paper also examines the … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 26 Apr 2019 · 7,093 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNumerical Ultimate Ruin Probabilities under Interest ForceJuma Kasozi, Jostein PaulsenThis work addresses the issue of ruin of an insurer whose portfolio is exposed to insurance risk arising from the classical surplus process. Availability of a positive interest rate in the financial world forces the insurer to invest into a risk free asset. We derive a linear Volterra integral equation of the second kind and apply an order four Block-by-block … …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 6,491 accessesView PDFCite
Research ArticleOpen accessIn the abstractp ≠ np: The Set of Deterministic Problems that are Solvable in Polynomial Time is Unequal to the Set of Non-Deterministic Problems that are Solvable in Polynomial TimeAndres BoldoriThis study constructs a solution to the “p vs. np” problem using complexity theory. We show through counterexamples that p ≠ np and formalize the two sets using stochastic, probabilistic and non-deterministic modeling. While the well-known sets “pspace” and “npspace”, analyzing the storage of a device, can be claimed to be equal, p and np differ and are exclusively defined … …Journal of Computer Science, Vol. 20, Issue 10 · 8 Aug 2024 · 7,106 accessesView PDFCite
Research ArticleOpen accessIn the abstractDeveloping the Concept of Methodological Support for Designing and Assessing the Efficiency of Information Protection Systems of Standard Information Systems Considering Their VulnerabilitiesIslam Alexandrovich Alexandrov, Andrey Victorovich Kirichek, Vladimir Zhanovich Kuklin et al.The Information Protection System (IPS) is an integral part of any Information System (IS). To develop an optimal IPS model at the earliest stages of the IS lifecycle, it is necessary to develop IS resource and threat models. This study is devoted to developing a specific model of IS resources, allowing a detailed description of the relationship between resources and … …Journal of Computer Science, Vol. 19, Issue 11 · 19 Sep 2023 · 5,307 accessesView PDFCite
EditorialOpen accessIn the abstractThe Rough Intuitionistic Fuzzy Zweier Lacunary Ideal Convergence of Triple Sequence SpacesAyhan Esi, Nagarajan Subramanian, Vakeel Ahmad KhanWe introduced and studied the concept of I-convergence of triple sequences in metric spaces where I is an ideal. The concept of I-convergence has a wide application in the field of number theory, trigonometric series, summability theory, probability theory, optimization and approximation theory. In this article, we introduce rough intuitionistic fuzzy Lacunary ideal convergent of triple sequence spaces via zwier … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 31 May 2018 · 7,713 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputing MDR-Game with Applications to Real DataJimbo Henri Claver, Takeru Suzuki, Jesus Pascal et al.Originally developed for probability and statistic purposes, Multiple Dice Rolling (MDR) game turns out to be useful for many other applications such as complex biological systems and medical research. It has been mainly used to estimate system states that cannot be observed directly. MDR game is affected by noise and fluctuations. It is widely agreed that noise in dynamic systems … …Journal of Computer Science, Vol. 14, Issue 7 · 17 Jul 2018 · 7,789 accessesView PDFCite
Research ArticleOpen accessIn the abstractECONOMIC EVALUATION OF AQUACULTURE INVESTMENTS UNDER CONDITIONS OF RISK AND UNCERTAINTY IN THE MEDITERRANEAN SEAFilippo Sgroi, Salvatore Tudisca, Anna Maria Di Trapani, Riccardo TestaThis study aims to analyze, from a technical and economic point of view, the choice between alternative investments in aquaculture under conditions of risk and uncertainty. In particular, a comparative analysis has been conducted between an inshore and an offshore farm producing European sea bass in the Mediterranean Sea. The applied model refers to the theory of subjective probability, assigning … …American Journal of Applied Sciences, Vol. 11, Issue 9 · 1 Oct 2014 · 6,897 accessesView PDFCite