Research ArticleOpen accessIn the keywordsDistribution of Records Defined on Ordered Words Representing Lattice PathsA. M. Alahmadi, E. A. MahmoudProblem statement: Let the sequence i1,i2,…,in, denoted by Snn be an increasing ordered word of length n taken from the set of the n positive integers S= {1,2,…,n}, m, n ∈N+, m≥n.. Approach: That is 1≤i1≤i2≤…≤in≤n. Treating Snn as a sequence of weak records {Lj = ij}, i, j = 1,2,…,n, the distribution of the single weak record as well … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 6,998 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Probability and the Asymptotic Distribution Functions of Increasing Ordered Statistical DataA. A. El-Faheem, Eman A. MahmoudProblem statement: We considered two types of sequences of ordered statistical discrete data i1, i2…in, 1≤i1≤ i2≤… in≤n and ij = 1,2,…,n, j = 1,2,…,n. The first type is the order statistics of a sample of size n taken from the uniform discrete distribution on the set S = {1,2,…,n}, n ∈ N+. The other type is the increasing ordered … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,290 accessesView PDFCite