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Teaching Theory of Probability and Statistics during the Covid-19 Emergency
The state of emergency caused by the covid-19 pandemic has shown that teaching at this time is not easy. Teachers have to make more use of distance education and students have to adapt to that.
A. Berkova, Radek Nemec
semanticscholar +1 more source
Data‐driven performance metrics for neural network learning
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri+2 more
wiley +1 more source
The article deals with the financial analysis of the companies in bankruptcy proceedings. Using the principle of invariance of factors in predicting the functions of financial analysis, it was possible to assess the parameters and structure of the ...
A. V. Babanov
doaj +1 more source
Bayesian Decision Theory and Stochastic Independence [PDF]
As stochastic independence is essential to the mathematical development of probability theory, it seems that any foundational work on probability should be able to account for this property. Bayesian decision theory appears to be wanting in this respect.
Mongin, Philippe
core
Free independence and the noncrossing partition lattice in dual-unitary quantum circuits [PDF]
We investigate details of the chaotic dynamics of dual-unitary quantum circuits by evaluating all $2k$-point out-of-time-ordered correlators. For the generic class of circuits, by writing the correlators as contractions of a class of quantum channels, we
Hyaline Junhe Chen, Jonah Kudler-Flam
semanticscholar +1 more source
This study aims to identify and analyze risk factors affecting serious multi-fatality crashes using Bayesian networks. First, a Bayesian network structure was constructed based on expert experience and the Dempster–Shafer evidence theory.
Shengxue Zhu+3 more
doaj +1 more source
Conditionally monotone independence I: Independence, additive convolutions and related convolutions [PDF]
We define a product of algebraic probability spaces equipped with two states. This product is called a conditionally monotone product. This product is a new example of independence in non-commutative probability theory and unifies the monotone and ...
Hasebe, Takahiro
core +3 more sources
A dose response model for Staphylococcus aureus
Dose-response models (DRMs) are used to predict the probability of microbial infection when a person is exposed to a given number of pathogens. In this study, we propose a new DRM for Staphylococcus aureus (SA), which causes skin and soft-tissue ...
Srikiran Chandrasekaran, Sunny C. Jiang
doaj +1 more source
In the present paper we define the notion of generalized cumulants which gives a universal framework for commutative, free, Boolean, and especially, monotone probability theories.
Hasebe, Takahiro, Saigo, Hayato
core +5 more sources
Theory of Probability: A Critical Introductory Treatment
Part 7 A preliminary survey: heads and tails - preliminary considerations heads and tails - the random process laws of "large numbers" the "central limit theorem".
B. Finetti, A. Machi, Adrian J. Smith
semanticscholar +1 more source