Titlebook: Limit Theorems for Multi-Indexed Sums of Random Variables; Oleg Klesov Book 2014 Springer-Verlag Berlin Heidelberg 2014 60F15, 60F05, 60F1

Omniscient

The Strong Law of Large Numbers for Independent Random Variables,The celebrated . is a masterpiece on the strong law of large numbers for cumulative sums of independent random variables.

平

低位的人或事

The Law of the Iterated Logarithm,The first law of the iterated logarithm is proved for symmetric Bernoulli random variables, that is, for independent random

conjunctivitis

雄偉

Libido

Boundedness of Multi-Indexed Series of Independent Random Variables,?Example?6.1). The aim of this chapter is to find necessary and sufficient conditions for the boundedness of partial sums of a multi-indexed series and to establish a relationship between the convergence and boundedness for all ..

compassion

責(zé)難

Limit Theorems for Multi-Indexed Sums of Random Variables978-3-662-44388-0Series ISSN 2199-3130 Series E-ISSN 2199-3149

insightful

Some Remarks on the Theory of Limit Theorems for Multi-Indexed Sums, in more detail one of the results for multi-indexed sums that indeed follows easily from its classical counterpart (this is an example that supports the above mentioned point of view). Then we explain why this is not a universal phenomenon.

美麗的寫

Renewal Theorems for Random Walks with Multi-Dimensional Time,classical case. It is worth mentioning that more complicated questions on the rate of convergence of renewal functions and processes constructed from multi-indexed sums of random variables still have no definite answers, since they depend on the Riemann hypothesis.