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Limit theorems for multi-indexed sums of random variables / Oleg Klesov.

Por: Colaborador(es): Tipo de material: TextoTextoSeries Probability Theory and Stochastic Modelling ; 71Editor: Berlin, Heidelberg : Springer Berlin Heidelberg : Springer, 2014Descripción: xviii, 483 páginas : 2 ilustracionesTipo de contenido:
  • texto
Tipo de medio:
  • computadora
Tipo de portador:
  • recurso en línea
ISBN:
  • 9783662443880
Formatos físicos adicionales: Edición impresa:: Sin títuloClasificación LoC:
  • QA273.A1-274.9
Recursos en línea:
Contenidos:
1.Notation and auxiliary results -- 2.Maximal inequalities for multiple sums -- 3.Weak convergence of multiple sums -- 4.Weak law of large numbers for multiple sums -- 5.Almost sure convergence for multiple series -- 6.Boundedness of multiple series -- 7.Rate of convergence of multiple sums -- 8.Strong law of large numbers for independent non-identically distributed random variables -- 9.Strong law of large numbers for independent identically distributed random variables -- 10.Law of the iterated logarithm -- 11.Renewal theorem for random walks with multidimensional time -- 12.Existence of moments of the supremum of multiple sums and the strong law of large numbers -- 13.Complete convergence.
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Springer eBooks

1.Notation and auxiliary results -- 2.Maximal inequalities for multiple sums -- 3.Weak convergence of multiple sums -- 4.Weak law of large numbers for multiple sums -- 5.Almost sure convergence for multiple series -- 6.Boundedness of multiple series -- 7.Rate of convergence of multiple sums -- 8.Strong law of large numbers for independent non-identically distributed random variables -- 9.Strong law of large numbers for independent identically distributed random variables -- 10.Law of the iterated logarithm -- 11.Renewal theorem for random walks with multidimensional time -- 12.Existence of moments of the supremum of multiple sums and the strong law of large numbers -- 13.Complete convergence.

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