High order concentrated matrix-exponential distributions

Gábor Horväth · Illés Antal Horváth · Miklós Telek

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

This paper presents matrix-exponential (ME) distributions, whose squared coefficient of variation (SCV) is very low. Currently, there is no symbolic construction available to obtain the most concentrated ME distributions, and the numerical optimization-based approaches to construct them have many pitfalls. We present a numerical optimization-based procedure which avoids numerical issues.

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1987The least variable phase type distribution is erlang 2012Matrix-Analytic Methods in Stochastic Models 1978Simulationsmethoden in der Medizin und Biologie

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