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

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,-Demimartingales,sequence of partial sums of mean zero negatively associated (NA) random variables form an .-demimartingale. Throughout this chapter, we assume that the expectations of random variables under consideration exist.

Dawdle

2297-0371 es and related processes are discussed in the first six chapters. Applications of some of these results to some problems in nonparametric statistical inference for such processes are investigated in the last three chapters.978-3-0348-0746-3978-3-0348-0240-6Series ISSN 2297-0371 Series E-ISSN 2297-0398

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纵欲

Exact Asymptotics of Meander Numbersces of random variables as found in Prakasa Rao (2009). Properties of such random sequences were investigated in Prakasa Rao (2009) and Roussas (2008). Based on these ideas, Hydjikyriakou (2010) introduced the notion of conditional demimartingales.

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BINGE

fetter

Cyril Banderier,Robert P. Dobrowartingales contains the sequences of partial sums of mean zero associated random variables as a special case. Motivated by the theory of demimartingales developed in Chapter 2, we now define (cf. Prakasa Rao (2002a) and Christofides (2003)) the class of .-demimartingales. We will see later that the

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