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Weak regularity of probability measures

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  • Dale Siegel

Abstract

This paper examines smoothness attributes of probability measures on lattices which indicate regularity, and then discusses weaker forms of regularity; specifically, weakly regular and vaguely regular. They are obtained from commonly used outer measures, and we study them mainly for the case of M ( ℒ ) or for those components of M ( ℒ ) with added smoothness prerequisites. This is a generalization of many concepts presented in my earlier paper (see [1]).

Suggested Citation

  • Dale Siegel, 1998. "Weak regularity of probability measures," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 21, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:605364
    DOI: 10.1155/S0161171298001008
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