Abstract: The paper originates from the observation that, when fitting stochastic processes based on data measurements, it is often possible to fit various probability distribution functions (PDFs) to ...

Abstract: The formation of non-Gaussian random processes by using stochastic differential equations is described. Algorithms for the formation of scalar continuousvalued, vector and discrete processes ...

A courseware module that covers the fundamental concepts in probability theory and their implications in data science. Topics include probability, random variables, and Bayes' Theorem.

Introduction: Accurately predicting the remaining mechanical equipment is of great significance for ensuring the safe operation of the equipment and improving economic efficiency. Methods: To ...

simulate a simple game where 30 players roll a die 300 times and keep track of their rolls. The game ends when all players have the same number.

Experiments on choice-predictive brain signals have played an important role in the debate on free will. In a seminal study, Benjamin Libet and colleagues found that a negative-going EEG signal, the ...

摘要: The original Bell inequality was obtained in a statistical derivation assuming three mutually cross-correlated random variables (four in the later version). Given that observations destroy the ...