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Replicated Computations Results (RCR) Report for “MNO--PQRS: Max Nonnegativity Ordering—Piecewise-Quadratic Rate Smoothing”

Published: 07 September 2017 Publication History

Abstract

The article “MNOPQRS: Max Nonnegativity Ordering—Piecewise-Quadratic Rate Smoothing” by Chen and Schmeiser constructs a smooth piecewise-quadratic rate estimate for a nonhomogeneuous Poisson process based on event counts over k adjacent time intervals. The event times can be generated by generating a Poisson process with unit rate and inverting the cumulative rate function or by the thinning technique. The overall algorithm has O(k2) time complexity and O(k) space requirements in the number of intervals. This replicated computation report focuses on the reproducibility of the experimental results in the aforementioned article.

References

[1]
H. Chen and B. W. Schmeiser. 2013. I-SMOOTH: Iteratively smoothing mean-constrained and nnnegative piecewise-constant functions. INFORMS Journal on Computing 25, 3 (2013), 432--445
[2]
H. Chen and B. W. Schmeiser. 2017. MNO-PQRS: Max nonnegativity orderingpiecewise-quadratic rate smoothing. ACM Trans. Model. Comput. Simul. 27, 3 (2017), Article 18.
[3]
D. M. Nicol and L. M. Leemis. 2014. A continuous piecewise-linear NHPP intensity function estimator. In Proceedings of the 2014 Winter Simulation Conference, A. Tolk, S. D Dialo, I. O. Ryzhov, L. Yilmaz, S. Buckley, and J. A. Miller (Eds.). IEEE, Piscataway, NJ, 498--509.

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    Published In

    cover image ACM Transactions on Modeling and Computer Simulation
    ACM Transactions on Modeling and Computer Simulation  Volume 27, Issue 3
    July 2017
    117 pages
    ISSN:1049-3301
    EISSN:1558-1195
    DOI:10.1145/3130329
    Issue’s Table of Contents
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 07 September 2017
    Accepted: 01 May 2017
    Received: 01 May 2017
    Published in TOMACS Volume 27, Issue 3

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    Author Tags

    1. Nonhomogeneous poisson process
    2. piecewise-quadratic smoothing
    3. rate function

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