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A Noncommutative Probability Theory [PDF]
Transactions of the American Mathematical Society, 1978 A noncommutative probability theory is developed in which no boundedness, finiteness, or “tracial” conditions are imposed. The underlying structure of the theory is a “probability algebra” ( a , ω ) (\mathcal {a},\omega ) where a \mathcal {a} is a ...
Robin L. Hudson, S. P. Gudder
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Conditioning in tropical probability theory [PDF]
, 2019 We define a natural operation of conditioning of tropical diagrams of probability spaces and show that it is Lipschitz continuous with respect to the asymptotic entropy distance.Comment: 12 pages, V2 - updated ...
Matveev, Rostislav +1 more
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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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Risks, 2020 We present general conditions for the weak convergence of a discrete-time additive scheme to a stochastic process with memory in the space D [ 0 , T ] . Then we investigate the convergence of the related multiplicative scheme to a process that can
Yuliya Mishura +2 more
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Investigation of sample paths properties for some classes of φ-sub-Gaussian stochastic processes
Modern Stochastics: Theory and Applications, 2021 This paper investigates sample paths properties of φ-sub-Gaussian processes by means of entropy methods. Basing on a particular entropy integral, we treat the questions on continuity and the rate of growth of sample paths.
Olha Hopkalo, Lyudmyla Sakhno
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Constructor theory of probability [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2016 Unitary quantum theory, having no Born Rule, is non-probabilistic . Hence the notorious problem of reconciling it with the unpredictability and appearance of stochasticity in quantum measurements.
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The splitting process in free probability theory [PDF]
, 2015 Free cumulants were introduced by Speicher as a proper analog of classical cumulants in Voiculescu's theory of free probability. The relation between free moments and free cumulants is usually described in terms of Moebius calculus over the lattice of ...
Ebrahimi-Fard, Kurusch, Patras, Frederic
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Gaussian Volterra processes with power-type kernels. Part I
Modern Stochastics: Theory and Applications, 2022 The stochastic process of the form \[ {X_{t}}={\int _{0}^{t}}{s^{\alpha }}\left({\int _{s}^{t}}{u^{\beta }}{(u-s)^{\gamma }}\hspace{0.1667em}du\right)\hspace{0.1667em}d{W_{s}}\] is considered, where W is a standard Wiener process, $\alpha >-\frac{1}{
Yuliya Mishura, Sergiy Shklyar
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Harold Jeffreys's Theory of Probability Revisited
, 2009 Published exactly seventy years ago, Jeffreys's Theory of Probability (1939) has had a unique impact on the Bayesian community and is now considered to be one of the main classics in Bayesian Statistics as well as the initiator of the objective Bayes ...
Bernardo, J. M. +8 more
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Assessing schematic knowledge of introductory probability theory [PDF]
, 2005 [Abstract]: 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 ...
Birney, Damian P. +2 more
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