output
19932023
most citedArtificial Intelligence Technologies in Education: Benefits, Challenges and Strategies of Implementation

220 citations

14 papers

cs.SE2023★ 4 cited

Investigate how developers and managers view security design in software

Asif Imran

Software security requirements have been traditionally considered as a non-functional attribute of the software. However, as more software started to provide services online, exist…

cs.CY2021★ 220 cited

Artificial Intelligence Technologies in Education: Benefits, Challenges and Strategies of Implementation

Mieczysław L. Owoc, Agnieszka Sawicka, Paweł Weichbroth

Since the education sector is associated with highly dynamic business environments which are controlled and maintained by information systems, recent technological advancements and…

math.PR2018★ 21 cited

Sojourn times of Gaussian processes with trend

Krzysztof Debicki, Peng Liu, Zbigniew Michna

We derive exact tail asymptotics of sojourn time above the level as , wher…

econ.EM2018★ 10 cited

Clustering Macroeconomic Time Series

Iwo Augustyński, Paweł Laskoś-Grabowski

The data mining technique of time series clustering is well established in many fields. However, as an unsupervised learning method, it requires making choices that are nontriviall…

stat.AP2017

The impact of stochastic lead times on the bullwhip effect under correlated demand and moving average forecasts

Zbigniew Michna, Stephen M. Disney, Peter Nielsen

We quantify the bullwhip effect (which measures how the variance in replenishment orders is amplified as the orders move up the supply chain) when random demands and random lead ti…

math.FA2016★ 19 cited

Noncommutative probability of type D

Marek Bożejko, Wiktor Ejsmont, Takahiro Hasebe

We construct a deformed Fock space and a Brownian motion coming from Coxeter groups of type D. The construction is analogous to that of the -Fock space (of type A) and the $(α,q…

math.OA2016★ 10 cited

Sample Variance in Free Probability

Wiktor Ejsmont, Franz Lehner

Let denote i.i.d.~centered standard normal random variables, then the law of the sample variance is the -distribution w…

math.PR2016★ 8 cited

A Characterization of the Normal Distribution by the Independence of a Pair of Random Vectors

Wiktor Ejsmont

Kagan and Shalaevski 1967 have shown that if the random variables are independent and identically distributed and the distribution of $a_i…

math.FA2014★ 16 cited

Fock space associated to Coxeter group of type B

Marek Bożejko, Wiktor Ejsmont, Takahiro Hasebe

In this article we construct a generalized Gaussian process coming from Coxeter groups of type B. It is given by creation and annihilation operators on an -Fock space, which…

math.FA2014★ 3 cited

New characterization of two-state normal distribution

Wiktor Ejsmont

In this article we give a purely noncommutative criterion for the characterization of two-state normal distribution. We prove that families of two-state normal distribution can be…

cs.SI2013★ 3 cited

Studying Paths of Participation in Viral Diffusion Process

Jarosław Jankowski, Sylwia Ciuberek, Anita Zbieg +1

Authors propose a conceptual model of participation in viral diffusion process composed of four stages: awareness, infection, engagement and action. To verify the model it has been…

math.PR2012

Explicit formula for the supremum distribution of a spectrally negative stable process

Zbigniew Michna

In this article we get simple explicit formulas for $\Exp\sup_{s\leq t}X(s)$ where is a spectrally positive or negative Lévy process with infinite variation. As a consequence w…

physics.soc-ph2011★ 2 cited

Degressive proportionality in the European Parliament

Katarzyna Cegielka

The division of mandates to the European Parliament posed difficulties since the beginning of its operation. Introduction of the degressive proportionality principle to legal acts…

hep-th1993★ 7 cited

Operator Formalism on the Symmetric Algebraic Curves

F. Ferrari, J. Sobczyk, W. Urbanik

In this work, the following conjectures are proven in the case of a Riemann surface with abelian group of symmetry: a) The systems on a Riemann surface are equivalent to…