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Published in 2020 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-020-00524-w
Abstract: In this study, we present the existence result for the the second order $${\mathrm {m}}$$-point boundary value problems on infinite time scales. Nagumo condition, lower and upper solutions play an important role in the arguments.
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Keywords:
problems infinite;
mathrm point;
boundary value;
point boundary ... See more keywords
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Published in 2017 at "Scandinavian Actuarial Journal"
DOI: 10.1080/03461238.2017.1391872
Abstract: Abstract Let be a standard Brownian motion. In this paper, we derive the asymptotics of the probability of Parisian ruin over an infinite time horizon for the following risk process (0.1) where is the initial…
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Keywords:
time horizon;
ruin;
parisian ruin;
brownian motion ... See more keywords
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Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2015.1030428
Abstract: ABSTRACT This article studies a continuous-time bidimensional risk model, in which an insurer simultaneously confronts two kinds of claim sharing a common renewal claim-number process. Under the assumption that the claim size vectors form a…
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Keywords:
ruin probability;
time;
risk model;
time ruin ... See more keywords