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Productivity of sequences with respect to a given weight function
Productivity weight function
2010/11/11
Given a function f: N --> (omega+1)-{0}, we say that a faithfully indexed sequence {a_n: n in N} of elements of a topological group G is: (i) f-Cauchy productive (f-productive) provided that the seque...
Empirical processes, typical sequences and coordinated actions in standard Borel spaces
Terms—Coordination via communication empirical processes Glivenko–Cantelli classes
2010/11/26
This paper proposes a new notion of typical sequences on a wide class of abstract alphabets (so-called standard Borel spaces), which is based on approximations of memoryless sources by empirical distr...
A Representation Theorem for Seneta Sequences
Regularly varying functions and sequence Seneta functions and sequences Representation theorem
2007/12/12
In this paper, we prove some properties of the Seneta sequences and functions, and in particular we prove a representation theorem in the Karamata sense for the sequences from the Seneta class $SO_c$.