Basic Methodology for Single Population Stochastic Models

  • James H. Matis
  • Thomas R. Kiffe
Part of the Lecture Notes in Statistics book series (LNS, volume 145)


This chapter introduces the basic theoretical tools utilized subsequently for solving single population stochastic models. Most of these tools are developed more extensively in the basic textbooks in stochastic processes, including the leading applied texts by Bailey [4], Chiang [12] and Renshaw [82]. The basic methodology is also described and illustrated specifically as applied to standard compartmental models in Jacquez [28]. This monograph will build on Jacquez’ development, most notably by including “births” into the stochastic compartmental models.


Moment Generate Function Basic Methodology Probability Generate Function Kolmogorov Equation Saddlepoint Approximation 
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Copyright information

© Springer-Verlag New York, Inc. 2000

Authors and Affiliations

  • James H. Matis
    • 1
  • Thomas R. Kiffe
    • 2
  1. 1.Department of StatisticsTexas A&M UniversityCollege StationUSA
  2. 2.Department of MathematicsTexas A&M UniversityCollege StationUSA

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