scholarly journals Weak Convergence of Weighted Empirical U-Statistics Processes for Dependent Random Variables

1994 ◽  
Vol 48 (2) ◽  
pp. 297-314 ◽  
Author(s):  
M. Harel ◽  
C.A. Ocinneide ◽  
M.L. Puri
Keyword(s):  
Weak Convergence ◽  
Random Variables ◽  
Dependent Random Variables ◽  
U Statistics

Weak convergence of the adjusted range of cumulative sums of exchangeable random variables

1983 ◽  
Vol 20 (02) ◽  
pp. 297-304 ◽  
Author(s):  
Brent M. Troutman
Keyword(s):  
Weak Convergence ◽  
Asymptotic Distribution ◽  
Random Variables ◽  
Dependent Random Variables ◽  
Random Functions ◽  
Exchangeable Random Variables ◽  
Convergence Results ◽  
Cumulative Sums

Let be the adjusted range of the cumulative sums of a sequence , where . Weak convergence results for random functions constructed from cumulative sums of {Xs } are used to obtain the asymptotic distribution and moments of when {Xs } are exchangeable, or symmetrically dependent, random variables.

Weak convergence of the adjusted range of cumulative sums of exchangeable random variables

1983 ◽  
Vol 20 (2) ◽  
pp. 297-304 ◽  
Author(s):  
Brent M. Troutman
Keyword(s):  
Weak Convergence ◽  
Asymptotic Distribution ◽  
Random Variables ◽  
Dependent Random Variables ◽  
Random Functions ◽  
Exchangeable Random Variables ◽  
Convergence Results ◽  
Cumulative Sums

Let be the adjusted range of the cumulative sums of a sequence , where . Weak convergence results for random functions constructed from cumulative sums of {Xs} are used to obtain the asymptotic distribution and moments of when {Xs} are exchangeable, or symmetrically dependent, random variables.

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