A note on the central limit theorem for geodesic random walks. (English) Zbl 0561.60071
A central limit theorem shown by E.Jørgensen [Z. Wahrscheinlichkeitstheor. Verw. Geb. 32, 1-64 (1975; Zbl 0292.60103)], for so-called geodesic random walks with identically distributed steps in Riemannian manifolds is proved again by using a theorem of T. G. Kurtz [J. Funct. Anal. 3, 354-375 (1969; Zbl 0174.184)] on contraction operator semigroup approximation.
Reviewer: Sh.W.He
MSC:
| 60G50 | Sums of independent random variables; random walks |
References:
| [1] | DOI: 10.1016/0022-1236(69)90031-7 · Zbl 0174.18401 · doi:10.1016/0022-1236(69)90031-7 |
| [2] | DOI: 10.1007/BF00533088 · Zbl 0292.60103 · doi:10.1007/BF00533088 |
| [3] | Pinsky, Probabilistic analysis and related topics pp 199– (1978) · doi:10.1016/B978-0-12-095601-2.50010-9 |
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