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Opmerkingen en berekeningen betreffende “Poisson‐proces met interrupties” van J. C. A. Zaat
Author(s) -
Runnenburg J. Th.,
Vervaat W.
Publication year - 1966
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1966.tb00472.x
Subject(s) - mathematics , poisson distribution , interval (graph theory) , point process , combinatorics , distribution (mathematics) , laplace transform , poisson process , mathematical analysis , statistics
Summary In an earlier paper by J.C. A. ZAAT an interrupted Poisson process was studied. Here we clarify some of the results there obtained. The process is obtained from a stationary Poisson process on the real axis by covering the axis with a sequence of adjoining intervals which have alternatively length a and b, the first left‐hand endpoint of an a‐interval to the right of 0 being chosen in a stochastic point n̈ with n̈