Han-ying Liang

activity

20082026

most citedA probability inequality for sums of independent Banach space valued random variables

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.PR2026

Some Results on the Central Limit Theorem for Subsequences in Banach Spaces

Deli Li, Han-Ying Liang

Let ${X, X_{n}; n \geq 1}$ be a sequence of i.i.d. $B$ -valued random variables and set $S_{n} = \sum_{i = 1}^{n} X_{i}, n \geq 1$ . This note is devoted to study the classi…

math.PR2017

An Extension of Feller's Strong Law of Large Numbers

Deli Li, Han-Ying Liang, Andrew Rosalsky

~This paper presents a general result that allows for establishing a link between the Kolmogorov-Marcinkiewicz-Zygmund strong law of large numbers and Feller's strong law of large…

math.PR2017★ 1 cited

A probability inequality for sums of independent Banach space valued random variables

Deli Li, Han-Ying Liang, Andrew Rosalsky

Let $(B, ∥ \cdot ∥)$ be a real separable Banach space. Let $φ (\cdot)$ and $ψ (\cdot)$ be two continuous and increasing functions defined on $[0, \infty)$ such that $φ(0) =…

math.PR2015

A comparison theorem for the law of large numbers in Banach spaces

Deli Li, Han-Ying Liang

Let $(B, ∥ \cdot ∥)$ be a real separable Banach space. Let ${X, X_{n}; n \geq 1}$ be a sequence of i.i.d. {\bf B}-valued random variables and set $S_{n} = \sum_{i=1}^{n}…

math.PR2008

Complete moment and integral convergence for sums of negatively associated random variables

Han-Ying Liang, Deli Li, Andrew Rosalsky

For a sequence of identically distributed negatively associated random variables ${X_{n}; n \geq 1}$ with partial sums $S_{n} = \sum_{i = 1}^{n} X_{i}, n \geq 1$ , refinements are presented of t…