An elementary proof of Sengupta's invariance relation and a remark on Miyazawa's conservation principle
- 1 March 1991
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 28 (04) , 950-954
- https://doi.org/10.1017/s0021900200042911
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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