Two types of conditions have been significant when considering the convergence of convolution products of nonidentical probability measures on groups and semigroups. The essential points of a sequence of measures have been useful in characterizing the supports of the limit measures. Also, enough mass eventually on an idempotent has proven sufficient for convergence in a number of structures. In this paper, both of these types of conditions are analyzed in the context of discrete non-abelian semigroups. In addition, an application to the convergence of nonhomogeneous Markov chains is given.
- Convolution products
- Discrete semigroups
- Nonhomogeneous Markov chains
- Nonidentical probability measures
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty