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Introduction to Stochastic Processes

In: Introduction to Queueing Systems with Telecommunication Applications

Author

Listed:
  • László Lakatos

    (Eötvös Loránd University)

  • László Szeidl

    (Óbuda University
    Széchenyi István University)

  • Miklós Telek

    (Budapest University of Technology and Economics)

Abstract

When considering technical, economic, ecological, or other problems, in several cases the quantities $$\left \{{X}_{t},\;t \in \mathcal{T}\right \}$$ being examined can be regarded as a collection of random variables. This collection describes the changes (usually in time and in space) of considered quantities. If the set $$\mathcal{T}$$ is a subset of the set of real numbers, then the set $$\left \{t \in \mathcal{T}\right \}$$ can be interpreted as time and we can say that the random quantities X t vary in time. In this case the collection of random variables $$\left \{{X}_{t},\;t \in \mathcal{T}\right \}$$ is called a stochastic process. In mathematical modeling of randomly varying quantities in time, one might rely on the highly developed theory of stochastic processes.

Suggested Citation

  • László Lakatos & László Szeidl & Miklós Telek, 2013. "Introduction to Stochastic Processes," Springer Books, in: Introduction to Queueing Systems with Telecommunication Applications, edition 127, chapter 0, pages 55-76, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-5317-8_2
    DOI: 10.1007/978-1-4614-5317-8_2
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