Properties of Bivariate Distributions Represented through Quantile Functions

2021 ◽  
pp. 1-12
Author(s):  
N. Unnikrishnan Nair ◽  
B. Vineshkumar
Keyword(s):  
Bivariate Distributions ◽  
Quantile Functions

Permutation Tests for Common Locations Among Samples With Unequal Variances

1994 ◽  
Vol 19 (3) ◽  
pp. 217-236 ◽  
Author(s):  
Paul W. Mielke ◽  
Kenneth J. Berry
Keyword(s):  
Null Hypothesis ◽  
Treatment Effects ◽  
Alternative Hypothesis ◽  
Permutation Tests ◽  
Experimental Designs ◽  
Bivariate Distributions ◽  
Unequal Variances ◽  
Trace Test ◽  
Location Shift ◽  
Power Comparisons

In completely randomized experimental designs where population variances are equal under the null hypothesis, it is not uncommon to have multiplicative treatment effects that produce unequal variances under the alternative hypothesis. Permutation procedures are presented to test for (a) median location and scale shifts, (b) scale shifts only, and (c) mean location shifts only. Corresponding multivariate extensions are provided. Location-shift power comparisons between the parametric Bartlett-Nanda-Pillai trace test and three alternative multivariate permutation tests for five bivariate distributions are included.

Bivariate Distributions

2018 ◽  
pp. 329-391
Author(s):  
Saeed Ghahramani
Keyword(s):  
Bivariate Distributions
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