On a weighted embedding for pontograms

DOI10.1016/0304-4149(93)90013-TzbMath0779.60031MaRDI QIDQ689458

Josef G. Steinebach, Han-Qin Zhang

Publication date: 19 January 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

weak convergencerenewal counting processstrong approximationspontogram

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17) Renewal theory (60K05)

Related Items (4)

On a weighted embedding for generalized pontograms. ⋮ On extreme value asymptotics for increments of renewal processes ⋮ A multiple filter test for the detection of rate changes in renewal processes with varying variance ⋮ Multi-scale detection of rate changes in spike trains with weak dependencies

Cites Work

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• Invariance principles for renewal processes
• On the distributions of \(L_ p\) norms of weighted uniform empirical and quantile processes
• Some recent developments concerning asymptotic distributions of pontograms
• Almost Sure Convergence of Delayed Renewal Processes
• Asymptotic distributions of pontograms
• Alignments in two-dimensional random sets of points
• An approximation of partial sums of independent RV's, and the sample DF. II

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