5. Weak Convergence of Quantile Processes in Weighted Sup-Norm Metrics and Further Strong Approximations

1983 ◽  
pp. 41-66
Keyword(s):  
Weak Convergence ◽  
Strong Approximations ◽  
Quantile Processes

Characterization of weak convergence for smoothed empirical and quantile processes under ϕ-mixing

1996 ◽  
Vol 53 (3) ◽  
pp. 285-295 ◽  
Author(s):  
H.J.A. Degenhardt ◽  
Madan L. Puri ◽  
Shan Sun ◽  
Martien C.A. van Zuijlen
Keyword(s):  
Weak Convergence ◽  
Empirical And Quantile Processes ◽  
Quantile Processes

Weak convergence for random weighting estimation of smoothed quantile processes

2014 ◽  
Vol 263 ◽  
pp. 36-42 ◽  
Author(s):  
Shesheng Gao ◽  
Yongmin Zhong ◽  
Chengfan Gu ◽  
Bijan Shirinzadeh
Keyword(s):  
Weak Convergence ◽  
Random Weighting ◽  
Quantile Processes

scholarly journals On The Distribution of Partial Sums of Randomly Weighted Powers of Uniform Spacings

2020 ◽  
Vol 10 (1) ◽  
pp. 1-7
Author(s):  
Emad-Eldin A. A. Aly
Keyword(s):  
Weak Convergence ◽  
Uniform Distribution ◽  
Asymptotic Theory ◽  
Weighted Sums ◽  
Partial Sums ◽  
Weighted Sum ◽  
Strong Approximations ◽  
Partial Sum ◽  
Randomly Weighted Sums ◽  
Partial Sum Process

Objectives: To study the asymptotic theory of the randomly wieghted partial sum process of powers of k-spacings from the uniform distribution. Methods: Earlier results on the distribution of the uniform incremental randomly weighted sums. Methods: Based on theorems on weak and strong approximations of partial sum processes. Results and conculsions: Our main contribution is to prove the weak convergence of weighted sum of powers of uniform spacings.

Common Fixed Points in Modular Spaces

2018 ◽  
pp. 502 ◽  
Author(s):  
Salwa Salman Abed ◽  
Karrar Emad Abdul Sada
Keyword(s):  
Fixed Point ◽  
Weak Convergence ◽  
Fixed Point Theorems ◽  
Active Role ◽  
Common Fixed Points ◽  
Weakly Compact ◽  
Expansive Mapping ◽  
Modular Spaces ◽  
Opial’S Property ◽  
Common Fixed Point Theorems

     In this paper,there are   new considerations about the dual of a modular spaces and weak convergence. Two common fixed point theorems for a -non-expansive mapping defined on a star-shaped weakly compact subset are proved,  Here the conditions of affineness, demi-closedness and Opial's property play an active role in the proving our results.  

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