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Stochastic Processes in Discrete Time

  • Jürgen FrankeEmail author
  • Wolfgang Karl Härdle
  • Christian Matthias Hafner
Chapter
Part of the Universitext book series (UTX)

Abstract

A stochastic process or random process consists of chronologically ordered random variables {X t ; t ≥ 0}. For simplicity we assume that the process starts at time t = 0 in X 0 = 0. In this chapter, we consider exclusively processes in discrete time, i.e. processes which are observed at equally spaced points time t = 0, 1, 2,.... Typical examples are daily, monthly or yearly observed economic data as stock prices, rates of unemployment or sales figures.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Jürgen Franke
    • 1
    Email author
  • Wolfgang Karl Härdle
    • 2
    • 3
  • Christian Matthias Hafner
    • 4
  1. 1.FB MathematikTU KaiserslauternKaiserslauternGermany
  2. 2.Ladislaus von Bortkiewicz Chair of Statistics C.A.S.E. Centre for Applied Statistics and Economics School of Business and EconomicsHumboldt-Universität zu BerlinBerlinGermany
  3. 3.Graduate Institute of StatisticsNational Central UniversityJhongliTaiwan
  4. 4.Inst. StatistiqueUniversité Catholique de LouvainLeuven-la-NeuveBelgium

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