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Titlebook: Advances in Combinatorial Methods and Applications to Probability and Statistics; N. Balakrishnan Book 1997 Birkhäuser Boston 1997 Binomia

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Statistics for Industry and Technologyhttp://image.papertrans.cn/a/image/147072.jpg
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https://doi.org/10.1007/978-1-4612-4140-9Binomial distribution; Counting; Derivation; Finite; Identity; Random variable; STATISTICA; Variable; algori
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https://doi.org/10.1007/978-3-030-03347-7In this paper an approach to lattice paths, simple random walks and randomized random walks is presented, which emphasizes the common features and permits to treat various aspects in a unified framework.
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Aileen Ionescu-Somers,Ulrich StegerThe Euclidean algorithm with respect to the modulus 4 is given as random walks on the group .(2, ..). The quadratic reciprocity law and a simple part of Zolotareff’s Theorem are proved in terms of values on each step in the walks.
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Business Logic for SustainabilityThis paper deals with the derivation of the joint and marginal distributions of certain rank order statistics related to the generalized random walk with steps +1 and −µ by using the extended Dwass technique evolved by Mohanty and Handa (1970). These generalize and extend the results of Saran and Rani (1991a, b).
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Martin G. Christopher,Gordon S. C. WillsStirling numbers and generalized Stirling numbers and their properties are briefly described first. Then some relationships between Stirling numbers and record times are presented. Finally, we show that generalized Stirling numbers of the first kind describe distributions of some record statistics in the so-called F.-scheme.
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