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Some limit theorems for an energy storage model

Author

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  • Hooghiemstra, G.
  • Scheffer, C. L.

Abstract

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.

Suggested Citation

  • Hooghiemstra, G. & Scheffer, C. L., 1986. "Some limit theorems for an energy storage model," Stochastic Processes and their Applications, Elsevier, vol. 22(1), pages 121-127, May.
    • Handle: RePEc:eee:spapps:v:22:y:1986:i:1:p:121-127
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    Cited by:

    1. Alpuim, M. T. & Catkan, N. A. & Hüsler, J., 1995. "Extremes and clustering of nonstationary max-AR(1) sequences," Stochastic Processes and their Applications, Elsevier, vol. 56(1), pages 171-184, March.

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