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| 1 | Complete Moment and Integral Convergence for Sums of Negatively Associated Random Variables显示文摘为相等分布式的否定地联系的随机的变量鈥淴 n 的一个序列;n 鈮 ? 与部分和 S n = 危 i=1 n X i,一起的 1 鈥 ? n 鈮 ? 1,精炼古典 Baum-Katz 和 Lai 完全的集中定理被介绍。更明确地,必要。 | Han Ying LIANG De Li LI Andrew ROSALSKY | 2010 | Acta Mathematica Sinica,English Series2010，26，3： | 20 |
| 2 | On the almost sure growth rates of sum of lower negatively dependent nonnegative random variables 显示文摘 | Oleg Klesov Andrew Rosalsky Andrei Ⅰ Volodin | 2005 | Statistics Probability Letters2005，71，： | 1 |
| 3 | Complete Moment Convergence for Arrays of Rowwise Widely Orthant Dependent Random Variables显示文摘 | Yi WU Xue Jun WANG Andrew ROSALSKY | 2018 | Acta Mathematica Sinica,English Series2018，34，10： | 1 |
| 4 | Some Strong Laws of Large Numbers for Blockwise Martingale Difference Sequences in Martingale Type p Banach Spaces显示文摘For a blockwise martingale difference sequence of random elements {Vn , n ≥ 1} taking values in a real separable martingale type p (1 ≤ p ≤ 2) Banach space, conditions are provided for strong laws of large numbers of the form limn→∞∑ n i=1 Vi /gn = 0 almost surely to hold where the constants gn ↑∞. A result of Hall and Heyde [Martingale Limit Theory and Its Application, Academic Press, New York, 1980, p. 36] which was obtained for sequences of random variables is extended to a martingale type p (1 < p ≤ 2) Banach space setting and to hold with a Marcinkiewicz-Zygmund type normalization. Illustrative examples and counterexamples are provided. | Andrew ROSALSKY Le Van THANH | 2012 | Acta Mathematica Sinica,English Series2012，28，7： | 1 |
| 5 | A Supplement to the Baum-Katz-Spitzer Complete Convergence Theorem显示文摘这结果概括 Baum-Katz-Spitzer 完全的集中定理。联合我们的结果和 Einmahl 和李的推论,我们解决一内脏提出的 conjecture。 | Andrew ROSALSKY | 2007 | Acta Mathematica Sinica,English Series2007，23，3： | 0 |
| 6 | On the Relationship Between the Baum-Katz-Spitzer Complete Convergence Theorem and the Law of the Iterated Logarithm显示文摘为 i.i.d Banach 珍视空间的随机的变量的一个序列 { X_nl n ≥ 1 } 并且积极常数的一个序列 { a_n;n ≥ 1 } ,在 Baum-Katz-Spitzercomplete 集中定理之间的关系和重申的对数的法律被调查。条件的集合被提供在下面它(ⅰ)limsup_( n →∞)( ‖S _n ‖)( /a_n ))<∞ a.s 和Σ_( n=1 )~∞ 1/n P ( ‖S _n ‖)/( a_n )≥ ε)<为所有ε 的∞ >为某经常的λ ∈ 的λ [ 0 ,∞)是相等的;一般来说,没有几何条件在内在的 Banach 空间被强加。推论被介绍,新结果甚至在真实值的随机的变量的情况中被获得。 | De Li LI Andrew ROSALSKY Andrei VOLODIN | 2007 | Acta Mathematica Sinica,English Series2007，23，4： | 0 |
| 7 | On the Laws of Large Numbers for Double Arrays of Independent Random Elements in Banach Spaces显示文摘For a double array of independent random elements {Vmn,m ≥ 1,n ≥ 1} in a real separable Banach space,conditions are provided under which the weak and strong laws of large numbers for the double sums mi=1 nj=1Vij,m ≥ 1,n ≥ 1 are equivalent.Both the identically distributed and the nonidentically distributed cases are treated.In the main theorems,no assumptions are made concerning the geometry of the underlying Banach space.These theorems are applied to obtain Kolmogorov,Brunk–Chung,and Marcinkiewicz–Zygmund type strong laws of large numbers for double sums in Rademacher type p(1 ≤ p ≤ 2) Banach spaces. | Andrew ROSALSKY Le Van THANH Nguyen Thi THUY | 2014 | Acta Mathematica Sinica,English Series2014，30，8： | 0 |
| 8 | Strong Laws of Large Numbers for Double Sums of Banach Space Valued Random Elements显示文摘For a double array {V_(m,n), m ≥ 1, n ≥ 1} of independent, mean 0 random elements in a real separable Rademacher type p(1 ≤ p ≤ 2) Banach space and an increasing double array {b_(m,n), m ≥1, n ≥ 1} of positive constants, the limit law ■ and in L_p as m∨n→∞ is shown to hold if ■ This strong law of large numbers provides a complete characterization of Rademacher type p Banach spaces. Results of this form are also established when 0 < p ≤ 1 where no independence or mean 0 conditions are placed on the random elements and without any geometric conditions placed on the underlying Banach space. | Robert PARKER Andrew ROSALSKY | 2019 | Acta Mathematica Sinica,English Series2019，35，5： | 0 |
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