Some limit theorems for an energy storage model
type: Item
instance of: scholarly article
title: Some limit theorems for an energy storage model
zbMATH Open document ID: 0629.60102
DOI: 10.1016/0304-4149(86)90119-5
published in: Stochastic Processes and their Applications
publication date: 1986-01-01T00:00:00Z
review text: The stationary distribution of a solar energy model is studied when one of the parameters (\(\beta)\) of the model approaches its critical value 1. For the case that the input distribution function has a polynomial tail we show that the stationary distribution of the model converges weakly to a proper limit distribution, whose Laplace transform can be calculated explicitly. This is important since previous publications showed that for \(\beta\) close to 1 approximation results become very inaccurate.
Mathematics Subject Classification ID: 60K30
Mathematics Subject Classification ID: 60F99
Mathematics Subject Classification ID: 90B05
zbMATH DE Number: 4024475
zbMATH Keywords: stationary distribution
zbMATH Keywords: solar energy model
zbMATH Keywords: Laplace transform
author: Gerard Hooghiemstra
author: Carel L. Scheffer
MaRDI profile type: Publication
full work available at URL: 0304-4149(86)90119-5
OpenAlex ID: W2021752278
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description: scientific article; zbMATH DE number 4024475