Strong stability of linear forms in φ-mixing random variables

2009 ◽  
Vol 14 (1) ◽  
pp. 6-10 ◽  
Author(s):  
Shixin Gan
Keyword(s):  
Random Variables ◽  
Strong Stability ◽  
Linear Forms ◽  
Mixing Random Variables

Identical Distributed Pairwise NQD Random Variables Sequences with a Novel Mutation Operator

2014 ◽  
Vol 989-994 ◽  
pp. 2491-2494
Author(s):  
Jian Cao ◽  
Gang Li ◽  
Cen Rui Ma
Keyword(s):  
Optimization Problems ◽  
Novel Mutation ◽  
Random Variables ◽  
Strong Stability ◽  
Mutation Operator ◽  
Linear Forms ◽  
Grid Portal ◽  
Complex Optimization ◽  
Independent Identically Distributed ◽  
Improved Pso

We study the strong stability of linear forms of pairwise negatively quadrant dependent (NQD) identically distributed random variables sequence under some suitable conditions. To overcome the weakness of collaborative services ability in different grid portal, a new grid portal architecture based on CSGPA (Collaborative Services Grid Portal Architecture), is proposed. This paper aims to enhance the performance of PSO in complex optimization problems and proposes an improved PSO variant by incorporating a novel mutation operator. The results obtained extend and improve the corresponding theorem for independent identically distributed random variables sequence.

Strong Stability for Weighted Sums of ρ~-Mixing Random Variables

2013 ◽  
Vol 718-720 ◽  
pp. 2103-2107
Author(s):  
Yong Jun Zhang ◽  
Yan Shen
Keyword(s):  
Random Variables ◽  
Strong Stability ◽  
Weighted Sums ◽  
Laws Of Large Numbers ◽  
Strong Laws ◽  
Large Numbers ◽  
Mixing Random Variables

Some results on strong stability for weighted sums of ~½-mixingrandom variables and new strong laws of large numbers are presented, whichgeneralize the corresponding results of independent sequences.

A note on the Bahadur representation of sample quantiles for α-mixing random variables

2011 ◽  
Vol 165 (3-4) ◽  
pp. 579-596 ◽  
Author(s):  
Guo-dong Xing ◽  
Shan-chao Yang ◽  
Yan Liu ◽  
Ke-ming Yu
Keyword(s):  
Random Variables ◽  
Bahadur Representation ◽  
Sample Quantiles ◽  
Mixing Random Variables

scholarly journals On a characterization theorem on a-adic solenoids

2019 ◽  
Vol 489 (3) ◽  
pp. 227-231
Author(s):  
G. M. Feldman
Keyword(s):  
Gaussian Distribution ◽  
Real Line ◽  
Linear Form ◽  
Conditional Distribution ◽  
Random Variables ◽  
Characterization Theorem ◽  
The Other ◽  
Independent Random Variables ◽  
Linear Forms ◽  
The Real

According to the Heyde theorem the Gaussian distribution on the real line is characterized by the symmetry of the conditional distribution of one linear form of independent random variables given the other. We prove an analogue of this theorem for linear forms of two independent random variables taking values in an -adic solenoid containing no elements of order 2. Coefficients of the linear forms are topological automorphisms of the -adic solenoid.

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