Titlebook: Associated Sequences, Demimartingales and Nonparametric Inference; B.L.S. Prakasa Rao Book 2012 Springer Basel AG 2012

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Associated Sequences, Demimartingales and Nonparametric Inference978-3-0348-0240-6Series ISSN 2297-0371 Series E-ISSN 2297-0398

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Analytic Combinatorics of Chord DiagramsLet . be a probability space and suppose that a set of random variables ..,…,.. defined on the probability space . have mean zero and are associated. Let ..=0 and ..=..+…+.., .=1,…,.. Then it follows that, for any componentwise nondecreasing function .; . provided the expectation exists.

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Demimartingales,Let . be a probability space and suppose that a set of random variables ..,…,.. defined on the probability space . have mean zero and are associated. Let ..=0 and ..=..+…+.., .=1,…,.. Then it follows that, for any componentwise nondecreasing function .; . provided the expectation exists.

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