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20132026
most citedPrinciples alone cannot guarantee ethical AI

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26 papers · 1 filter

math.PR2024

Stationary entrance chains and applications to random walks

Aleksandar Mijatovic, Vladislav Vysotsky

For a Markov chain with values in a Polish space, consider the entrance chain, obtained by sampling at the moments when it enters a fixed set from its complement .…

math.PR2023★ 2 cited

Fast exact simulation of the first-passage event of a subordinator

Jorge Ignacio González Cázares, Feng Lin, Aleksandar Mijatović

This paper provides an exact simulation algorithm for the sampling from the joint law of the first-passage time, the undershoot and the overshoot of a subordinator crossing a non-i…

math.PR2023★ 4 cited

Fast exact simulation of the first passage of a tempered stable subordinator across a non-increasing function

Jorge Ignacio González Cázares, Feng Lin, Aleksandar Mijatović

We construct a fast exact algorithm for the simulation of the first-passage time, jointly with the undershoot and overshoot, of a tempered stable subordinator over an arbitrary non…

math.PR2022

Stein's method for distributions modelling competing and complementary risk problems

Anum Fatima, Gesine Reinert

Competing and Complementary risk (CCR) problems are often modelled using a class of distributions of the maximum, or minimum, of a random number of i.i.d. random variables; we call…

math.PR2022★ 3 cited

Reflecting Brownian motion in generalized parabolic domains: explosion and superdiffusivity

Mikhail V. Menshikov, Aleksandar Mijatović, Andrew R. Wade

For a multidimensional driftless diffusion in an unbounded, smooth, sub-linear generalized parabolic domain, with oblique reflection from the boundary, we give natural conditions u…

math.PR2021★ 5 cited

Asymptotic shape of the concave majorant of a Lévy process

David Bang, Jorge Ignacio González Cázares, Aleksandar Mijatović

We establish distributional limit theorems for the shape statistics of a concave majorant (i.e. the fluctuations of its length, its supremum, the time it is attained and its value…