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Cascaded Poisson processes

1982; American Institute of Physics; Volume: 23; Issue: 12 Linguagem: Inglês

10.1063/1.525327

1527-2427

Kuniaki Matsuo, Bahaa E. A. Saleh, Malvin C. Teich,

Cold Atom Physics and Bose-Einstein Condensates

We investigate the counting statistics for stationary and nonstationary cascaded Poisson processes. A simple equation is obtained for the variance-to-mean ratio in the limit of long counting times. Explicit expressions for the forward-recurrence and inter-event-time probability density functions are also obtained. The results are expected to be of use in a number of areas of physics.