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On the choice of an auxiliary function in the M/G/∞ estimation.

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On the choice of an auxiliary function in the M/G/∞ estimation. / Park, Juhyun.

In: Computational Statistics and Data Analysis, Vol. 51, No. 12, 15.08.2007, p. 5477-5482.

Research output: Contribution to journalJournal article

Harvard

Park, J 2007, 'On the choice of an auxiliary function in the M/G/∞ estimation.', Computational Statistics and Data Analysis, vol. 51, no. 12, pp. 5477-5482. https://doi.org/10.1016/j.csda.2007.05.025

APA

Vancouver

Park J. On the choice of an auxiliary function in the M/G/∞ estimation. Computational Statistics and Data Analysis. 2007 Aug 15;51(12):5477-5482. https://doi.org/10.1016/j.csda.2007.05.025

Author

Park, Juhyun. / On the choice of an auxiliary function in the M/G/∞ estimation. In: Computational Statistics and Data Analysis. 2007 ; Vol. 51, No. 12. pp. 5477-5482.

Bibtex

@article{f78af2a0009342eaa473c463801452e2,
title = "On the choice of an auxiliary function in the M/G/∞ estimation.",
abstract = "The use of auxiliary functions in nonparametric inference for the M/G/∞ queueing model is considered. Estimation of the service time distribution G is challenging when only limited information about the busy/idle cycle is available. It is shown, using diagnostic plots of estimators, that a standard auxiliary function aimed at providing numerical stability fails in that regard but that a reliable auxiliary function can be constructed. The improvement made by the alternative auxiliary function is demonstrated.",
keywords = "Inversion, Laplace transform, Nonparametric density estimation, M/G/∞ model",
author = "Juhyun Park",
note = "The final, definitive version of this article has been published in the Journal, Computational Statistics and Data Analysis 51 (12), 2007, {\textcopyright} ELSEVIER.",
year = "2007",
month = aug,
day = "15",
doi = "10.1016/j.csda.2007.05.025",
language = "English",
volume = "51",
pages = "5477--5482",
journal = "Computational Statistics and Data Analysis",
issn = "0167-9473",
publisher = "Elsevier",
number = "12",

}

RIS

TY - JOUR

T1 - On the choice of an auxiliary function in the M/G/∞ estimation.

AU - Park, Juhyun

N1 - The final, definitive version of this article has been published in the Journal, Computational Statistics and Data Analysis 51 (12), 2007, © ELSEVIER.

PY - 2007/8/15

Y1 - 2007/8/15

N2 - The use of auxiliary functions in nonparametric inference for the M/G/∞ queueing model is considered. Estimation of the service time distribution G is challenging when only limited information about the busy/idle cycle is available. It is shown, using diagnostic plots of estimators, that a standard auxiliary function aimed at providing numerical stability fails in that regard but that a reliable auxiliary function can be constructed. The improvement made by the alternative auxiliary function is demonstrated.

AB - The use of auxiliary functions in nonparametric inference for the M/G/∞ queueing model is considered. Estimation of the service time distribution G is challenging when only limited information about the busy/idle cycle is available. It is shown, using diagnostic plots of estimators, that a standard auxiliary function aimed at providing numerical stability fails in that regard but that a reliable auxiliary function can be constructed. The improvement made by the alternative auxiliary function is demonstrated.

KW - Inversion

KW - Laplace transform

KW - Nonparametric density estimation

KW - M/G/∞ model

U2 - 10.1016/j.csda.2007.05.025

DO - 10.1016/j.csda.2007.05.025

M3 - Journal article

VL - 51

SP - 5477

EP - 5482

JO - Computational Statistics and Data Analysis

JF - Computational Statistics and Data Analysis

SN - 0167-9473

IS - 12

ER -