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Random Sequences

Valérie Girardin and Nikolaos Limnios
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Valérie Girardin: Université de Caen Normandie, Laboratoire de Mathématiques Nicolas Oresme
Nikolaos Limnios: Université de Technologie de Compiègne, Laboratoire de Mathématiques Appliquées de Compiègne

Chapter 4 in Applied Probability, 2022, pp 149-200 from Springer

Abstract: Abstract This chapter investigates the foundations of stochastic topology. The main types of convergence of random sequences are defined and compared: almost sure, in mean, quadratic mean, probability, distribution. Different large numbers laws and central limit theorems—doubtless the most remarkable results of probability theory—are presented. Some hints on stochastic simulation are also given.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-97963-8_4

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DOI: 10.1007/978-3-030-97963-8_4

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