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Quantum probability theory [PDF]
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 2007 28 pages, LaTeX, typos removed and some minor modifications for clarity and accuracy made.
Department of Philosophy, Logic and Scientific Method, London School of Economics and Political Science, Houghton Street, London WC2A 2AE, UK ( host institution ) +2 more
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International Journal of Theoretical Physics, 2002 The existence of a joint observable of a finite family of observables (with values in a space of fuzzy sets) was proved by \textit{S. Gudder} [Demonstr. Math. 31, 235--254 (1998; Zbl 0952.60002); Found. Phys. 30, 1663--1678 (2000)]. The authors generalize this result to infinite families of observables.
Habil, Eissa D., Nasr, Taghreed Z
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, 2015 This article focuses on free probability theory, which is useful for dealing with asymptotic eigenvalue distributions in situations involving several matrices. In particular, it considers some of the basic ideas and results of free probability theory, mostly from the random matrix perspective.
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Self-organized complexity and Coherent Infomax from the viewpoint of Jaynes’s probability theory [PDF]
, 2012 This paper discusses concepts of self-organized complexity and the theory of Coherent Infomax in the light of Jaynes’s probability theory. Coherent Infomax, shows, in principle, how adaptively self-organized complexity can be preserved and improved by ...
Phillips, William A. +2 more
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The Quality of Reserve Risk Calculation Models under Solvency II and IFRS 17
Risks, 2022 We analyse four stochastic claims reserving methods in terms of their capability to estimate reserve risk and how successful they are at predicting distributions and VaRs of claim developments in particular.
N. Miklós Arató, László Martinek
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Gamblers Never Change their Habits
Austrian Journal of Statistics, 2016 In the game ‘6 out of 45’ the gambler has to guess 6 different numbers out of 45. These guesses are far from being uniformly distributed, instead gamblers prefer certain numbers and avoid others.
Karl Grill, Norbert Kusolitsch
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Assessing schematic knowledge of introductory probability theory [PDF]
, 2005 The ability to identify schematic knowledge is an important goal for both assessment and instruction. In the current paper, schematic knowledge of statistical probability theory is explored from the declarative-procedural framework using multiple methods
Plank, Ashley +2 more
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, 2023 Probability theory is a branch of statistics, a science that employs mathematical methods of collection, organization, and interpretation of data, with applications in practically all scientific areas.
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Poissonization Principle for a Class of Additive Statistics
Mathematics, 2022 In this paper, we consider a class of additive functionals of a finite or countable collection of the group frequencies of an empirical point process that corresponds to, at most, a countable partition of the sample space.
Igor Borisov, Maman Jetpisbaev
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Ruin probability in a risk model with variable premium intensity and risky investments [PDF]
Opuscula Mathematica, 2015 We consider a generalization of the classical risk model when the premium intensity depends on the current surplus of an insurance company. All surplus is invested in the risky asset, the price of which follows a geometric Brownian motion.
Yuliya Mishura +2 more
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