Results 11 to 20 of about 2,575,077 (286)

Gamblers Never Change their Habits

open access: yesAustrian 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
doaj   +1 more source

Quantum Probability Theory [PDF]

open access: yes, 2005
The mathematics of classical probability theory was subsumed into classical measure theory by Kolmogorov in 1933. Quantum theory as nonclassical probability theory was incorporated into the beginnings of noncommutative measure theory by von Neumann in ...
Redei, Miklos, Summers, Stephen J.
core   +5 more sources

The splitting process in free probability theory [PDF]

open access: yes, 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
core   +3 more sources

Harold Jeffreys's Theory of Probability Revisited

open access: yes, 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
core   +7 more sources

General Conditions of Weak Convergence of Discrete-Time Multiplicative Scheme to Asset Price with Memory

open access: yesRisks, 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
doaj   +1 more source

Investigation of sample paths properties for some classes of φ-sub-Gaussian stochastic processes

open access: yesModern 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
doaj   +1 more source

Understanding weak values without new probability theory [PDF]

open access: yes, 2018
The physical meaning of weak values and measurements can be completely understood with Born rule and the general probability theory. It is known that the weak value of an observable $\hat A$ with post-selection $\langle F|$ may be out of the eigenvalue ...
Mochizuki, Riuji
core   +2 more sources

Probability functions in the context of signed involutive meadows [PDF]

open access: yes, 2016
The Kolmogorov axioms for probability functions are placed in the context of signed meadows. A completeness theorem is stated and proven for the resulting equational theory of probability calculus.
Bergstra, Jan A., Ponse, Alban
core   +3 more sources

Assessing schematic knowledge of introductory probability theory [PDF]

open access: yes, 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
core   +2 more sources

On Drift Parameter Estimation in Models with Fractional Brownian Motion by Discrete Observations

open access: yesAustrian Journal of Statistics, 2014
We study a problem of an unknown drift parameter estimation in a stochastic differen- tial equation driven by fractional Brownian motion. We represent the likelihood ratio as a function of the observable process.
Yuliya Mishura, Kostiantyn Ralchenko
doaj   +1 more source

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