Functional Limit Theorem for Products of Sums of Independent and Nonidentically Distributed Random Variables | Zendy

Przemysław Matuła | Zendy; Iwona Stępień | Zendy

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Functional Limit Theorem for Products of Sums of Independent and Nonidentically Distributed Random Variables

Author(s) -

Przemysław Matuła,

Iwona Stępień

Publication year - 2013

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2013/640137

Subject(s) - independent and identically distributed random variables , mathematics , random variable , limit (mathematics) , central limit theorem , convergence (economics) , weak convergence , discrete mathematics , statistics , mathematical analysis , computer science , computer security , economics , asset (computer security) , economic growth

We study the weak convergence in the space of processes constructed from products of sums of independent but not necessarily identically distributed random variables. The presented results extend and generalize limit theorems known so far for i.i.d. sequences.

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