𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Regularity characterization of asymptotically probability equivalent sequences

✍ Scribed by Richard F. Patterson; Ekrem Savaş

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
285 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

The notion of asymptotically equivalent sequences was presented by Pobyvanets in 1980. Using this definition, he presented Silverman-Toeplitz-type matrix conditions that ensure that a summability matrix preserves asymptotic equivalency. This work begins with an extension of Pobyvanets' definition of convergence in probability. This definition is also used to present Silverman-Toeplitz-type conditions for ensuring that a summability matrix preserves asymptotic probability equivalence. In addition, we shall also present a Marouftype characterization of such a sequence space.

📜 SIMILAR VOLUMES

Equivalent conditions on the central lim
Equivalent conditions on the central limit theorem for a sequence of probability measures on R
✍ Toshio Mikami 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 217 KB

In this paper we give equivalent conditions on the central limit theorem in total variation norm for a sequence of probability measures on ~. This generalizes Cacoullos, Papathanasiou and Utev's central limit theorem in Lt-norm for a sequence of probability density functions on R. We also give equiv