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Taboo probability functions

  • Kai Lai Chung
Chapter
Part of the Die Grundlehren der Mathematischen Wissenschaften book series (volume 104)

Abstract

We proceed to develop the continuous parameter analogue of the theory of taboo probabilities given in § I.9. While the intuitive content is easily seen the formal details must be treated with caution and the main result (Theorem 8 below) depends essentially on the strong Markov property discussed in § 9 and its consequences given in Theorems 6 and 7 here. Some interesting properties of an instantaneous state are obtained as by-product which will perhaps play a role in a further study.

Keywords

Transition Matrix Instantaneous State Continuous Parameter Sample Function Stationary Transition Probability 
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Copyright information

© Springer-Verlag OHG. Berlin · Göttingen · Heidelberg 1960

Authors and Affiliations

  • Kai Lai Chung
    • 1
  1. 1.Syracuse UniversityUSA

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