Displaying similar documents to “Complete convergence for B -valued L p -mixingale sequences.”

Complete convergence in mean for double arrays of random variables with values in Banach spaces

Ta Cong Son, Dang Hung Thang, Le Van Dung (2014)

Applications of Mathematics

Similarity:

The rate of moment convergence of sample sums was investigated by Chow (1988) (in case of real-valued random variables). In 2006, Rosalsky et al. introduced and investigated this concept for case random variable with Banach-valued (called complete convergence in mean of order p ). In this paper, we give some new results of complete convergence in mean of order p and its applications to strong laws of large numbers for double arrays of random variables taking values in Banach spaces. ...

On Multivalued Amarts

Dorota Dudek, Wiesław Zięba (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

In recent years, convergence results for multivalued functions have been developed and used in several areas of applied mathematics: mathematical economics, optimal control, mechanics, etc. The aim of this note is to give a criterion of almost sure convergence for multivalued asymptotic martingales (amarts). For every separable Banach space B the fact that every L¹-bounded B-valued martingale converges a.s. in norm to an integrable B-valued random variable (r.v.) is equivalent to the...