255
Views
79
CrossRef citations to date
0
Altmetric
Original Articles

Modeling and simulation of a nonhomogeneous poisson process having cyclic behavior

, &
Pages 777-809 | Published online: 27 Jun 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (5)

Lucy E. Morgan, Barry L. Nelson, Andrew C. Titman & David J. Worthington. (2023) A spline function method for modelling and generating a nonhomogeneous poisson process. Journal of Simulation 0:0, pages 1-12.
Read now
Lindsey Bell & Rachel Wagner. (2019) Modeling Emergency Room Arrivals Using the Poisson Process. The College Mathematics Journal 50:5, pages 343-350.
Read now
Michael E. Kuhl & James R. Wilson. (2000) Least squares estimation of nonhomogeneous poisson processes. Journal of Statistical Computation and Simulation 67:1, pages 699-712.
Read now
MICHAELE. KUHL, JAMESR. WILSON & MARYA. JOHNSON. (1997) Estimating and simulating Poisson processes having trends or multiple periodicities. IIE Transactions 29:3, pages 201-211.
Read now
Li-Hsing Shih & Lawrence M. Leemis. (1993) Variate generation for a nonhomogeneous poisson process with time dependent covariates. Journal of Statistical Computation and Simulation 44:3-4, pages 165-186.
Read now

Articles from other publishers (74)

Sobin Joseph & Shashi Jain. (2024) A neural network based model for multi-dimensional non-linear Hawkes processes. Journal of Computational and Applied Mathematics 447, pages 115889.
Crossref
Siqi Chen, Jing Yang Sunny Xi & Wai Kin Victor Chan. (2023) Estimating Spline-Based Nonhomogeneous Poisson Intensities Using Constrained Quadratic Programming. Estimating Spline-Based Nonhomogeneous Poisson Intensities Using Constrained Quadratic Programming.
Gerardo Varela & Dante Tolentino. (2023) Cost–Benefit Assessment of Offshore Structures Considering Structural Deterioration. Journal of Marine Science and Engineering 11:7, pages 1348.
Crossref
Casey Bowman, John A. Miller & Yulong Wang. (2022) Microscopic Vehicular Traffic Simulation: Comparison of Calibration Techniques. Microscopic Vehicular Traffic Simulation: Comparison of Calibration Techniques.
Alvaro Gajardo & Hans-Georg Muller. (2022) Cox Point Process Regression. IEEE Transactions on Information Theory 68:2, pages 1133-1156.
Crossref
Xin-Yu Tian, Xincheng Shi, Cheng Peng & Xiao-Jian Yi. (2021) A Reliability Growth Process Model with Time-Varying Covariates and Its Application. Mathematics 9:8, pages 905.
Crossref
Barry L. Nelson & Linda PeiBarry L. Nelson & Linda Pei. 2021. Foundations and Methods of Stochastic Simulation. Foundations and Methods of Stochastic Simulation 119 178 .
Haoting Zhang & Zeyu Zheng. (2020) Simulating Nonstationary Spatio-Temporal Poisson Processes using the Inversion Method. Simulating Nonstationary Spatio-Temporal Poisson Processes using the Inversion Method.
Barry L. Nelson & Lawrence M. Leemis. (2020) The Ease of Fitting but Futility of Testing a Nonstationary Poisson Processes from One Sample Path. The Ease of Fitting but Futility of Testing a Nonstationary Poisson Processes from One Sample Path.
Lucy E. Morgan, Barry L. Nelson, Andrew C. Titman & David J. Worthington. (2019) A Spline-Based Method for Modelling and Generating A Nonhomogeneous Poisson Process. A Spline-Based Method for Modelling and Generating A Nonhomogeneous Poisson Process.
Ran LiuMichael E. KuhlYunan Liu & James R. Wilson. (2019) Modeling and Simulation of Nonstationary Non-Poisson Arrival Processes. INFORMS Journal on Computing 31:2, pages 347-366.
Crossref
María Luz Gámiz, Antonio Jesús López‐Montoya, María Dolores Martínez‐Miranda & Rocío Raya‐Miranda. (2018) Data visualization for reliability analysis of repairable systems. Quality and Reliability Engineering International 35:1, pages 99-115.
Crossref
Mohammad Akbari, Alberto Cetoli, Stefano Bragaglia, Andrew D. O’Harney, Marc Sloan & Jun Wang. 2019. Advances in Information Retrieval. Advances in Information Retrieval 37 44 .
Shi Chen, Suzanne Lenhart, Judy D Day, Chihoon Lee, Michael Dulin & Cristina Lanzas. (2018) Pathogen transfer through environment–host contact: an agent-based queueing theoretic framework. Mathematical Medicine and Biology: A Journal of the IMA 35:3, pages 409-425.
Crossref
Michael E. Kuhl. (2017) History of random variate generation. History of random variate generation.
P. L. Bragato. (2017) Periodicity of Strong Seismicity in Italy: Schuster Spectrum Analysis Extended to the Destructive Earthquakes of 2016. Pure and Applied Geophysics 174:10, pages 3725-3735.
Crossref
P. K. Srijith, Michal Lukasik, Kalina Bontcheva & Trevor Cohn. (2017) Longitudinal Modeling of Social Media with Hawkes Process Based on Users and Networks. Longitudinal Modeling of Social Media with Hawkes Process Based on Users and Networks.
Gunjan Verma & Robert J. Drost. (2017) Inhomogeneous Poisson process rate function inference from dead-time limited observations. Journal of the Optical Society of America A 34:5, pages 770.
Crossref
Dejing Kong, Chengwei Qin, Yong He & Lirong Cui. (2017) Sensor-based calibrations to improve reliability of systems subject to multiple dependent competing failure processes. Reliability Engineering & System Safety 160, pages 101-113.
Crossref
Tahmida Mahmud, Mahmudul Hasan, Anirban Chakraborty & Amit K. Roy-Chowdhury. (2016) A poisson process model for activity forecasting. A poisson process model for activity forecasting.
Sima Das, Sajal K. Das & Susmita Ghosh. (2016) Leveraging contact pattern to predict future contact pattern in mobile networks. Leveraging contact pattern to predict future contact pattern in mobile networks.
Ran Liu, Michael E. Kuhl, Yunan Liu & James R. Wilson. (2015) Combined inversion and thinning methods for simulating nonstationary non-poisson arrival processes. Combined inversion and thinning methods for simulating nonstationary non-poisson arrival processes.
A. Barriga-Rivera, M. J. Moya, M. Elena & M. Lopez-Alonso. (2015) Inter-reflux and bolus clearance times in non-pathologic pediatric patients: data support computational models. Diseases of the Esophagus 28:2, pages 138-144.
Crossref
Hyojung Kang, Harriet Black Nembhard, Colleen Rafferty & Christopher J. DeFlitch. (2014) Patient Flow in the Emergency Department: A Classification and Analysis of Admission Process Policies. Annals of Emergency Medicine 64:4, pages 335-342.e8.
Crossref
Ernesto Arandia-PerezJames G. UberDominic L. BoccelliRobert JankeDavid HartmanYeongho Lee. (2014) Modeling Automatic Meter Reading Water Demands as Nonhomogeneous Point Processes. Journal of Water Resources Planning and Management 140:1, pages 55-64.
Crossref
Issac Shams, Saeede Ajorlou & Kai Yang. (2013) Modeling clustered non-stationary Poisson processes for stochastic simulation inputs. Computers & Industrial Engineering 64:4, pages 1074-1083.
Crossref
Barry L. NelsonBarry L. Nelson. 2013. Foundations and Methods of Stochastic Simulation. Foundations and Methods of Stochastic Simulation 243 252 .
Barry L. NelsonBarry L. Nelson. 2013. Foundations and Methods of Stochastic Simulation. Foundations and Methods of Stochastic Simulation 175 241 .
Barry L. NelsonBarry L. Nelson. 2013. Foundations and Methods of Stochastic Simulation. Foundations and Methods of Stochastic Simulation 157 173 .
Barry L. NelsonBarry L. Nelson. 2013. Foundations and Methods of Stochastic Simulation. Foundations and Methods of Stochastic Simulation 99 155 .
Barry L. NelsonBarry L. Nelson. 2013. Foundations and Methods of Stochastic Simulation. Foundations and Methods of Stochastic Simulation 79 97 .
Barry L. NelsonBarry L. Nelson. 2013. Foundations and Methods of Stochastic Simulation. Foundations and Methods of Stochastic Simulation 41 78 .
Barry L. NelsonBarry L. Nelson. 2013. Foundations and Methods of Stochastic Simulation. Foundations and Methods of Stochastic Simulation 29 40 .
Barry L. NelsonBarry L. Nelson. 2013. Foundations and Methods of Stochastic Simulation. Foundations and Methods of Stochastic Simulation 7 27 .
Barry L. NelsonBarry L. Nelson. 2013. Foundations and Methods of Stochastic Simulation. Foundations and Methods of Stochastic Simulation 1 6 .
Xudong Zheng, Xiao Liang & Ke Xu. (2012) Where to wait for a taxi?. Where to wait for a taxi?.
Jon Parker & Joshua M. Epstein. (2011) A Distributed Platform for Global-Scale Agent-Based Models of Disease Transmission. ACM Transactions on Modeling and Computer Simulation 22:1, pages 1-25.
Crossref
Nan Shao & Keh-Shin Lii. (2011) Modelling Non-Homogeneous Poisson Processes with Almost Periodic Intensity Functions. Journal of the Royal Statistical Society Series B: Statistical Methodology 73:1, pages 99-122.
Crossref
James J. Cochran, Louis A. CoxJr.Jr., Pinar Keskinocak, Jeffrey P. Kharoufeh & J. Cole SmithLawrence M. Leemis. 2011. Wiley Encyclopedia of Operations Research and Management Science. Wiley Encyclopedia of Operations Research and Management Science.
James J. Cochran, Louis A. CoxJr.Jr., Pinar Keskinocak, Jeffrey P. Kharoufeh & J. Cole SmithMichael E. Kuhl. 2011. Wiley Encyclopedia of Operations Research and Management Science. Wiley Encyclopedia of Operations Research and Management Science.
James J. Cochran, Louis A. CoxJr.Jr., Pinar Keskinocak, Jeffrey P. Kharoufeh & J. Cole SmithRaghu Pasupathy. 2011. Wiley Encyclopedia of Operations Research and Management Science. Wiley Encyclopedia of Operations Research and Management Science.
Lawrence M. Leemis. 2010. Simulation Methods for Reliability and Availability of Complex Systems. Simulation Methods for Reliability and Availability of Complex Systems 85 103 .
Michael E. Kuhl, Emily K. Lada, Mary Ann Wagner, Julie S. Ivy, Natalie M. Steiger & James R. Wilson. (2009) Introduction to modeling and generating probabilistic input processes for simulation. Introduction to modeling and generating probabilistic input processes for simulation.
I. Shams & K. Shahanaghi. (2009) Analysis of nonhomogeneous input data using likelihood ratio test. Analysis of nonhomogeneous input data using likelihood ratio test.
Martin Gaston, Teresa Leon & Fermin Mallor. (2008) Functional Data Analysis for non homogeneous Poisson Processes. Functional Data Analysis for non homogeneous Poisson Processes.
Michael E. Kuhl, Emily K. Lada, Natalie M. Steiger, Mary Ann Wagner & James R. Wilson. (2008) Introduction to modeling and generating probabilistic input processes for simulation. Introduction to modeling and generating probabilistic input processes for simulation.
Christos Alexopoulos, David Goldsman, John Fontanesi, David Kopald & James R. Wilson. (2008) Modeling patient arrivals in community clinics. Omega 36:1, pages 33-43.
Crossref
Michael E. Kuhl, Natalie M. Steiger, Emily K. Lada, Mary Ann Wagner & James R. Wilson. (2007) Introduction to modeling and generating probabilistic input processes for simulation. Introduction to modeling and generating probabilistic input processes for simulation.
Michael Kuhl, Natalie Steiger, Emily Lada, Mary Wagner & James Wilson. (2006) Introduction to Modeling and Generating Probabilistic Input Processes for Simulation. Introduction to Modeling and Generating Probabilistic Input Processes for Simulation.
Michael E. Kuhl, Sachin G. Sumant & James R. Wilson. (2006) An Automated Multiresolution Procedure for Modeling Complex Arrival Processes. INFORMS Journal on Computing 18:1, pages 3-18.
Crossref
Lawrence M. Leemis. 2006. Simulation. Simulation 155 180 .
Lawrence M. Leemis. 2005. Encyclopedia of RF and Microwave Engineering. Encyclopedia of RF and Microwave Engineering.
E.K. Lada, N.M. Steiger, M.A. Wagner & J.R. Wilson. (2005) Introduction to Modeling and Generating Probabilistic Input Processes for Simulation. Introduction to Modeling and Generating Probabilistic Input Processes for Simulation.
L.M. Leemis. (2004) Building Credible Input Models. Building Credible Input Models.
Shane G. Henderson. (2003) Estimation for nonhomogeneous Poisson processes from aggregated data. Operations Research Letters 31:5, pages 375-382.
Crossref
L. Leemis. (2003) Input modeling. Input modeling.
Roelof Helmers, I. Wayan Mangku & Ričardas Zitikis. (2003) Consistent estimation of the intensity function of a cyclic Poisson process. Journal of Multivariate Analysis 84:1, pages 19-39.
Crossref
L. Leemis. (2001) Input modeling techniques for discrete-event simulations. Input modeling techniques for discrete-event simulations.
L. Leemis. (2000) Input modeling. Input modeling.
Lawrence M. Leemis. 2000. Wiley Encyclopedia of Electrical and Electronics Engineering. Wiley Encyclopedia of Electrical and Electronics Engineering.
Kenichi FunakiHideaki Matoba. (1999) PIECEWISE PSEUDO ESTIMATION FOR NHPP USING DATA IN THE ADJACENT INTERVALS. Journal of the Operations Research Society of Japan 42:4, pages 471-489.
Crossref
Michael E. Kuhl & Sun Ewe Lim. (1999) Sensitivity analysis of simulation output to parameters of nonhomogeneous Poisson processes. Sensitivity analysis of simulation output to parameters of nonhomogeneous Poisson processes.
Lawrence Leemis. (1999) Simulation input modeling. Simulation input modeling.
M.E. Kuhl, H. Damerdji & J.R. Wilson. (1998) Least squares estimation of nonhomogeneous Poisson processes. Least squares estimation of nonhomogeneous Poisson processes.
B.L. Nelson & M. Yamnitsky. (1998) Input modeling tools for complex problems. Input modeling tools for complex problems.
L. Leemis. (1998) Input modeling. Input modeling.
M.E. Kuhl, J.R. Wilson & M.A. Johnson. (1995) Estimation and simulation of nonhomogeneous Poisson processes having multiple periodicities. Estimation and simulation of nonhomogeneous Poisson processes having multiple periodicities.
B.L. Nelson, P. Ware, M.C. Cario, C.A. Harris, S.A. Jamison, J.O. Miller, J. Steinbugl & Jaehwan Yang. (1995) Input modeling when simple models fail. Input modeling when simple models fail.
L.M. Leemis. (1995) Input modeling for discrete-event simulation. Input modeling for discrete-event simulation.
Mark E. Johnson & Mansooreh Mollaghasemi. (1994) Simulation input data modeling. Annals of Operations Research 53:1, pages 47-75.
Crossref
L.M. Leemis. (1994) Input modeling. Input modeling.
M.A. Johnson, S. Lee & J.R. Wilson. (1991) Experimental evaluation of a procedure for estimating nonhomogeneous Poisson processes having cyclic behavior. Experimental evaluation of a procedure for estimating nonhomogeneous Poisson processes having cyclic behavior.
Seunghyeon Yu & Yoann Potiron. (2022) A Tale of Two Time Scales: Applications in Nonparametric Hawkes Processes With Ito Semimartingale Baseline. SSRN Electronic Journal.
Crossref
Maria Luz Gamiz & Antonio Jesss LLpez Montoya. (2016) Scale and Space Inference of NHPP Intensities. SSRN Electronic Journal.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.