Remarks on absolute continuity, contiguity and convergence in variation of probability measures

1988 ◽  
pp. 260-270
Author(s):  
Sheng Wu He ◽  
Jia Gang Wang
Keyword(s):  
Absolute Continuity ◽  
Probability Measures ◽  
Convergence In Variation

A concept of absolute continuity and its characterization in terms of convergence in variation

2016 ◽  
Vol 289 (16) ◽  
pp. 1986-1994 ◽  
Author(s):  
Laura Angeloni ◽  
Gianluca Vinti
Keyword(s):  
Absolute Continuity ◽  
Convergence In Variation

ON THE QUESTION OF ABSOLUTE CONTINUITY AND SINGULARITY OF PROBABILITY MEASURES

1977 ◽  
Vol 33 (2) ◽  
pp. 203-221 ◽  
Author(s):  
Ju M Kabanov ◽  
R Š Lipcer ◽  
A N Širjaev
Keyword(s):  
Absolute Continuity ◽  
Probability Measures

scholarly journals Rearranging measures

1983 ◽  
Vol 34 (1) ◽  
pp. 16-30 ◽  
Author(s):  
G. Brown ◽  
J. H. Williamson
Keyword(s):  
Absolute Continuity ◽  
Infinite Sequence ◽  
Probability Measures ◽  
Stieltjes Transforms

AbstractA churning transformation can be defined on probability measures by an infinite sequence of finite permutations of mass. Continuity and absolute continuity of measures are invariants for such transformations but it is shown that certain probability measures whose Fourier-Stieltjes transforms fail to vanish at infinity may be churned into measures whose transforms do vanish in this sense.

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