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Part of the book series: Die Grundlehren der Mathematischen Wissenschaften ((GL,volume 104))

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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.

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

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Chung, K.L. (1960). Taboo probability functions. In: Markov Chains with Stationary Transition Probabilities. Die Grundlehren der Mathematischen Wissenschaften, vol 104. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-49686-8_28

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  • DOI: https://doi.org/10.1007/978-3-642-49686-8_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-49408-6

  • Online ISBN: 978-3-642-49686-8

  • eBook Packages: Springer Book Archive

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