Equivalent conditions on the central limit theorem for a sequence of probability measures on R

Toshio Mikami

Statistics & Probability Letters, 1998, vol. 37, issue 3, 237-242

Abstract: In this paper we give equivalent conditions on the central limit theorem in total variation norm for a sequence of probability measures on R. This generalizes Cacoullos, Papathanasiou and Utev's central limit theorem in L1-norm for a sequence of probability density functions on R. We also give equivalent conditions on the central limit theorem in weak convergence and those on the local limit theorem.

Keywords: Central; limit; theorem; Total; variation; norm (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (2)

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