A Chernoff—Savage result for serial signed rank statistics

1993 ◽  
pp. 241-253
Author(s):  
J. Allal ◽  
M. Hallin
Keyword(s):  
Rank Statistics ◽  
Signed Rank

Asymptotic Normality of a Class of Nonparametric Statistics

1987 ◽  
Vol 3 (3) ◽  
pp. 313-347 ◽  
Author(s):  
Munsup Seoh ◽  
Madan L. Puri
Keyword(s):  
Asymptotic Normality ◽  
Order Statistics ◽  
Linear Combination ◽  
Linear Function ◽  
Random Variables ◽  
Weighted Sum ◽  
Rank Statistics ◽  
Concomitants Of Order Statistics ◽  
Signed Rank ◽  
Special Cases

Asymptotic normality is established for a class of statistics which includes as special cases weighted sum of independent and identically distributed (i.i.d.) random variables, unsigned linear rank statistics, signed rank statistics, linear combination of functions of order statistics, and linear function of concomitants of order statistics. The results obtained unify as well as extend a number of known results.

Simple exact bounds for distributions of linear signed rank statistics

1992 ◽  
Vol 31 (3) ◽  
pp. 311-333 ◽  
Author(s):  
Jean-Marie Dufour ◽  
Marc Hallin
Keyword(s):  
Rank Statistics ◽  
Signed Rank ◽  
Exact Bounds

Asymptotic normality of signed rank statistics

1972 ◽  
Vol 22 (4) ◽  
pp. 293-300 ◽  
Author(s):  
Hira Lal Koul ◽  
Robert G. Staudte
Keyword(s):  
Asymptotic Normality ◽  
Rank Statistics ◽  
Signed Rank
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