Abstract
In this paper it is shown that a metric can be defined on the set of all sub-
-algebras of a given 
-algebra. It is observed that C. Rajki's Theorem ([9]) on the metric space of discrete probability distributions turns out to be a particular case of our theorem which also provides a much shorter proof. The completeness and other properties of this metric space are also established.
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© 1973 Springer-Verlag
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Singh, J.M. (1973). A complete metric space of sub-
-algebras.
In: Behara, M., Krickeberg, K., Wolfowitz, J. (eds) Probability and Information Theory II. Lecture Notes in Mathematics, vol 296. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059824
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DOI: https://doi.org/10.1007/BFb0059824
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