Remark on the central limit theorem for ergodic chains

• Datum: 1995
• Hauptverfasser: Moskal'tsova, N. V., Shurenkov, V. M., Москальцова, Н. В., Шуренков, В. М.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1995
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5391
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain sufficient conditions that should be imposed on a functionf in order that, for ergodic Markov chains, the sum $$\frac{1}{{\sqrt n }} \sum\limits_{k = 0}^{n - 1} { f(X_k )} $$ be asymptotically normal.