Abstract
In this chapter we represent the power Poisson processes \(\mathcal {E}_{+}\) and \(\mathcal {E}_{-}\) as monotone sequences of order statistics, and explore the statistical behavior of these sequences. As we shall see, this order-statistics analysis will give rise to: the Zipf law and its inverse counterpart; the Weibull law and its inverse counterpart, the Fréchet law; and the Pareto law and its inverse counterpart.
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References
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Eliazar, I. (2020). Order Statistics. In: Power Laws. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-33235-8_7
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DOI: https://doi.org/10.1007/978-3-030-33235-8_7
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