کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10524975 957868 2005 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Moments, Narayana numbers, and the cut and paste for lattice paths
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Moments, Narayana numbers, and the cut and paste for lattice paths
چکیده انگلیسی
Let U(n) denote the set of unrestricted lattice paths that run from (0,0) to (n,0) with permitted steps (1,1), (1,-1), and perhaps a horizontal step. Let E(n+2) denote the set of paths in U(n+2) that run strictly above the horizontal axis except initially and finally. First we review the cut-and-paste bijection which relates points under paths of E(n+2) to points on paths of U(n). We apply it to obtain area and enumeration results for paths, some involving the Narayana distribution. We extend the cut-and-paste bijection to a formula relating factorial moments for the paths of E(n+2) to factorial moments for the paths of U(n).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 135, Issue 1, 1 November 2005, Pages 229-244
نویسندگان
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