Kirschenhofer, Peter; Prodinger, Helmut The higher moments of the number of returns of a simple random walk. (English) Zbl 0804.60060 Adv. Appl. Probab. 26, No. 2, 561-563 (1994). Summary: We consider a simple random walk starting at 0 and leading to 0 after \(2n\) steps. By a generating functions approach we achieve closed formulae for the moments of the random variables ‘number of visits to the origin’. Cited in 2 Documents MSC: 60G50 Sums of independent random variables; random walks Keywords:generating functions; Catalan numbers PDF BibTeX XML Cite \textit{P. Kirschenhofer} and \textit{H. Prodinger}, Adv. Appl. Probab. 26, No. 2, 561--563 (1994; Zbl 0804.60060) Full Text: DOI