scholarly journals The extended two-sample problem: nonparametric case

1979 ◽  
Vol 3 (4) ◽  
pp. 287-298 ◽  
Author(s):  
Pranab Kumar Sen
2003 ◽  
Vol 31 (6) ◽  
pp. 2036-2058 ◽  
Author(s):  
Teresa Ledwina ◽  
Gilles R. Ducharme

1987 ◽  
Vol 19 (04) ◽  
pp. 873-895
Author(s):  
Norbert Henze

Let Z 1, …, Zn be i.i.d. random vectors (‘points') defined in having common density f(x) that is assumed to be continuous almost everywhere. For a fixed but otherwise arbitrary norm |.| on , consider the fraction Vn of those points Z 1, …, Zn that are the lth nearest neighbour (with respect to |.|) to their own kth nearest neighbour, and write Sn for the fraction of points that are the nearest neighbour of exactly k other points. We derive the stochastic limits of Vn and Sn, as n tends to∞, and show how the results may be applied to the multivariate non-parametric two-sample problem.


1997 ◽  
Vol 65 (4) ◽  
pp. 355-366 ◽  
Author(s):  
H. J. Keselman ◽  
Robert Cribbie ◽  
Bruno D. Zumbo

2017 ◽  
Vol 318 ◽  
pp. 220-229 ◽  
Author(s):  
M.V. Alba-Fernández ◽  
A. Batsidis ◽  
M.D. Jiménez-Gamero ◽  
P. Jodrá

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