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https://dx.doi.org/10.48550/ar...
Article . 2021
License: CC BY
Data sources: Datacite
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Communication in Statistics- Theory and Methods
Article . 2022 . Peer-reviewed
Data sources: Crossref
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Bi-seasonal discrete time risk model with income rate two

Authors: Alencenovič, Alina; Grigutis, Andrius;

Bi-seasonal discrete time risk model with income rate two

Abstract

This paper proceeds an approximate calculation of ultimate time survival probability for bi-seasonal discrete time risk model when premium rate equals two. The same model with income rate equal to one was investigated in 2014 by Damarackas and Šiaulys. In general, discrete time and related risk models deal with possibility for a certain version of random walk to hit a certain threshold at least once in time. In this research, the mentioned threshold is the line $u+2t$ and random walk consists from two interchangeably occurring independent but not necessarily identically distributed random variables. Most of proved theoretical statements are illustrated via numerical calculations. Also, there are raised a couple of conjectures on a certain recurrent determinants non-vanishing.

Keywords

Probability (math.PR), FOS: Mathematics, 91G05, 60G50, 60J80, Mathematics - Probability

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
Green
bronze