An elementary proof of Sengupta's invariance relation and a remark on Miyazawa's conservation principle
- 1 December 1991
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 28 (4) , 950-954
- https://doi.org/10.2307/3214703
Abstract
In this short note we derive Sengupta's (1989) invariance relation using elementary arguments and we show that Miyazawa's (1983), (1985) conservation principle, on which Sengupta's proof is based, admits the Palm inversion formula as a consequence. This contrasts with Miyazawa's first proof based on the inversion formula. We also show that Neveu's (1976) cycle formula is a direct consequence of Miyazawa's principle.Keywords
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