Titlebook: Approximation Methods in Probability Theory; Vydas ?ekanavi?ius Textbook 2016 Springer International Publishing Switzerland 2016 character

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Empirische Analyse des Apothekenmarktes,In this chapter, we present Heinrich’s adaptation of the characteristic function method for method Heinrich’s weakly dependent random variables. Though the method can be applied for various dependencies (see the bibliographical notes at the end of the chapter) we consider m-dependent random variables only.

彎腰

,Einführung in die Untersuchung,In this chapter, we give a brief overview of some methods and approaches that might be of interest for further studies. For the reader’s convenience, bibliographical notes are presented at the end of each section.

A精確的

Definitions and Preliminary Facts,Let . denote the set of real numbers, . denote the set of complex numbers, . denote the set of all integers, . and ..

confederacy

The Method of Convolutions,In this chapter, we show how to apply properties of the norms for compound approximation. The method of convolutions is also called Le Cam’s operator method, since, in principle, it can be applied to all commutative operators. For convenience, we repeat the definition of a compoundmeasure:

對(duì)待

Baffle

喚起

雇傭兵

Non-uniform Estimates for Lattice Measures,In this chapter, we demonstrate that for lattice distributions with a sufficient number of finite moments the non-uniform estimates can be proved via a somewhat modified Tsaregradskii inequality.

新陳代謝

Discrete Non-lattice Approximations,Not all discrete distributions are lattice distributions.A lattice distribution ., for some .?>?0, is concentrated on a set .. For convenience, it is usually assumed that . is the maximal common divisor of the lattice points.