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Journal of Schenkerian Studies, Volume 11, 2018 (open access)

Journal of Schenkerian Studies, Volume 11, 2018

Annual journal featuring "articles on all facets of Schenkerian thought, including theory, analysis, pedagogy, and historical aspects and reviews of relevant publications" (copyright page).
Date: 2018
Creator: Graf, Benjamin
Object Type: Journal/Magazine/Newsletter
System: The UNT Digital Library
A random walk version of Robbins' problem: small horizon (open access)

A random walk version of Robbins' problem: small horizon

This article considers an analogous problem in which the observed random variables are the steps of a symmetric random walk. Assuming continuously distributed step sizes, it describes the optimal stopping rules for the cases n = 2 and n = 3 in two versions of the problem: a "full information" version in which the actual steps of the random walk are disclosed to the decision maker; and a "partial information" version in which only the relative ranks of the positions taken by the random walk are observed. When n = 3, the optimal rule and expected rank depend on the distribution of the step sizes. The authors give sharp bounds for the optimal expected rank in the partial information version, and fairly sharp bounds in the full information version.
Date: November 17, 2018
Creator: Allaart, Pieter C. & Allen, Andrew
Object Type: Article
System: The UNT Digital Library
Journal of Schenkerian Studies, Volume 9, 2016 (open access)

Journal of Schenkerian Studies, Volume 9, 2016

Annual journal featuring "articles on all facets of Schenkerian thought, including theory, analysis, pedagogy, and historical aspects and reviews of relevant publications" (copyright page).
Date: 2016
Creator: Graf, Benjamin & Taycher, Ryan
Object Type: Journal/Magazine/Newsletter
System: The UNT Digital Library
Journal of Schenkerian Studies, Volume 10, 2017 (open access)

Journal of Schenkerian Studies, Volume 10, 2017

Annual journal featuring "articles on all facets of Schenkerian thought, including theory, analysis, pedagogy, and historical aspects and reviews of relevant publications" (copyright page).
Date: 2017
Creator: Graf, Benjamin & Taycher, Ryan
Object Type: Journal/Magazine/Newsletter
System: The UNT Digital Library