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Martingale Approximation and Optimality of

✍ Scribed by Dalibor Volný

Publisher
Springer US
Year
2010
Tongue
English
Weight
437 KB
Volume
23
Category
Article
ISSN
0894-9840

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✍ R.A. Khan 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 356 KB

Let \(\left\{\zeta_{\ldots}, \mathscr{F}_{n}, n \geqslant m \geqslant 1\right\}\) be a reverse martingale such that the distribution of \(\xi_{n}\) depends on \(x \in I \subset R=(-x, x)\) for each \(n \geqslant m\), and \(\breve{\zeta}_{n} \xrightarrow{a . x} x\). For a continuous bounded function