scholarly journals Detecting sparse heterogeneous mixtures in a two-sample problem

2021 ◽  
pp. 1-15
Author(s):  
Rong Huang
Keyword(s):  
Sample Problem ◽  
Two Sample Problem

scholarly journals Efficient and adaptive nonparametric test for the two-sample problem

2003 ◽  
Vol 31 (6) ◽  
pp. 2036-2058 ◽  
Author(s):  
Teresa Ledwina ◽  
Gilles R. Ducharme
Keyword(s):  
Nonparametric Test ◽  
Sample Problem ◽  
Two Sample Problem

On the fraction of random points by specified nearest-neighbour interrelations and degree of attraction

1987 ◽  
Vol 19 (04) ◽  
pp. 873-895
Author(s):  
Norbert Henze
Keyword(s):  
Nearest Neighbour ◽  
Sample Problem ◽  
Random Vectors ◽  
Almost Everywhere ◽  
Two Sample Problem ◽  
Arbitrary Norm ◽  
Non Parametric

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.

scholarly journals Specialized Tests for Detecting Treatment Effects in the Two-Sample Problem

1997 ◽  
Vol 65 (4) ◽  
pp. 355-366 ◽  
Author(s):  
H. J. Keselman ◽  
Robert Cribbie ◽  
Bruno D. Zumbo
Keyword(s):  
Treatment Effects ◽  
Sample Problem ◽  
Two Sample Problem
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