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Published in 2017 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-017-3498-x
Abstract: We consider a system of two independent alternating renewal processes with states 0 and 1 and an initial shift t0 of one process relative to the other one. An integral equation with respect to the…
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Keywords:
renewal processes;
independent alternating;
system two;
two independent ... See more keywords
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Published in 2019 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2019.24
Abstract: Abstract Based on a simple object, an i.i.d. sequence of positive integer-valued random variables {an}n∊ℤ, we introduce and study two random structures and their connections. First, a population dynamics, in which each individual is born…
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Keywords:
dynamics unimodular;
renewal processes;
unimodular trees;
processes population ... See more keywords
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1
Published in 2022 at "Probability in the Engineering and Informational Sciences"
DOI: 10.1017/s0269964820000327
Abstract: The paper deals with prognosis estimation for industrial systems in a series configuration, modeled by superimposed renewal processes (SRP), when the cause of failures is not available. In the presence of missing information, an SRP…
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Keywords:
superimposed renewal;
renewal processes;
performance;
prognosis indicators ... See more keywords
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Published in 2021 at "Stochastic Models"
DOI: 10.1080/15326349.2021.1975548
Abstract: Consider an alternating renewal process that, over time, alternates between two states (up and down), starting in upstate at time 0. Associated with each up interval a reward which is a function of...
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Keywords:
renewal processes;
renewal;
instantaneous rewards;
processes instantaneous ... See more keywords
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Published in 2021 at "PLoS ONE"
DOI: 10.1371/journal.pone.0259764
Abstract: Intermittency are a common and challenging problem in demand forecasting. We introduce a new, unified framework for building probabilistic forecasting models for intermittent demand time series, which incorporates and allows to generalize existing methods in…
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Keywords:
time;
time series;
framework;
demand ... See more keywords
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Published in 2018 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0196
Abstract: Abstract In this paper the class of mixed renewal processes (MRPs for short) with mixing parameter a random vector defined by Lyberopoulos and Macheras (enlarging Huang’s original class) is replaced by the strictly more comprising…
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Keywords:
renewal processes;
class;
mixed renewal;
markov processes ... See more keywords