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In probability theory, the Palm–Khintchine theorem, the work of Conny Palm and Aleksandr Khinchin, expresses that a large number of not necessarily Poissonian renewal processes combined will have Poissonian properties.
According to Han et al. (2006), the theorem describes that the superposition of a large number of independent equilibrium renewal processes, each with a small intensity, behaves asymptotically like a Poisson process.
- Daniel P. Heyman, Matthew J. Sobel (2003). "5.8 Superposition of Renewal Processes". Stochastic Models in Operations Research: Stochastic Processes and Operating Characteristics.
- Han, Yijie; La, Richard J.; Makowski, Armand M.; Lee, Seungjoon (2006). "Distribution of path durations in mobile ad hoc networks—Palm’s Theorem to the rescue". Computer Networks 50 (12): 1887–1900. doi:10.1016/j.comnet.2005.10.005.
- Cox, D. R. & Miller, H. D. (1977). The Theory of Stochastic Processes. Chapman and Hall/CRC. Retrieved 2010-05-23.
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