Kernel Based Estimation for a Non-Homogeneous Poisson Processes

Tian Jin

doi:10.4028/www.scientific.net/AMR.805-806.1948

Paper Titles

Halcon-Based Optical Fiber Geometry Parameters Measurement Algorithm
p.1929

A Technology to Multi-Resolution Surface Reconstruction
p.1933

A Study on the Design of Context-Awareness Middleware for Enclosed Growth Management System
p.1937

Evaluation on Multicast Congestion Control Scheme
p.1941

Kernel Based Estimation for a Non-Homogeneous Poisson Processes
p.1948

Research and Implementation of Intelligent Transportation System at the Intersection Signal Lamp on FPGA
p.1952

Harvesting Analysis of a Predator-Prey System with Functional Response
p.1957

Contrast of Time-Frequency Analysis Methods and Fusion of Wigner-Ville Distribution and Wavelet Transform
p.1962

Design and Development of Refueling Training Simulation System for Multi-Types Aeroplane
p.1966

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 805-806Kernel Based Estimation for a Non-Homogeneous...

Kernel Based Estimation for a Non-Homogeneous Poisson Processes

Abstract:

The non-homogeneous Poisson model has been applied to various situations, including air pollution data. In this paper, we propose a kernel based nonparametric estimation for fitting the non-homogeneous Poisson process data. We show that our proposed estimator is-consistent and asymptotically normally distributed. We also study the finite-sample properties with a simulation study.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 805-806)

Pages:

1948-1951

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.805-806.1948

Citation:

Cite this paper

Online since:

September 2013

Authors:

Tian Jin

Keywords:

Count Data, Environmental Protection, Non-Homogeneous Poisson Processes (NHPP), Nonparametric Kernel Estimation

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] J. A. Achcar, E. R. Rodrigues, C. D. Paulino et al., Non-homogeneous Poisson models with a change-point: an application to ozone peaks in Mexico city, Environmental and Ecological Statistics, vol. 17, no. 4, pp.521-541, (2010).

DOI: 10.1007/s10651-009-0114-3

Google Scholar

[2] L. Vicini, L. K. Hotta, and J. A. Achcar, Non-Homogeneous Poisson Processes Applied to Count Data: A Bayesian Approach Considering Different Prior Distributions, Journal of Environmental Protection, vol. 3, no. 10, pp.1336-1345, (2012).

DOI: 10.4236/jep.2012.310152

Google Scholar

[3] L. M. Leemis, Nonparametric estimation of the cumulative intensity function for a nonhomogeneous Poisson process, Management Science, vol. 37, no. 7, pp.886-900, (1991).

DOI: 10.1287/mnsc.37.7.886

Google Scholar

[4] L. M. LEEMIS, Nonparametric estimation and variate generation for a nonhomogeneous Poisson process from event count data, IIE Transactions, vol. 36, pp.1155-1160, (2004).

DOI: 10.1080/07408170490507693

Google Scholar

[5] S. G. Henderson, Estimation for nonhomogeneous Poisson processes from aggregated data, Operations Research Letters, vol. 31, no. 5, pp.375-382, (2003).

DOI: 10.1016/s0167-6377(03)00027-0

Google Scholar

[6] J. Fan, Local polinomial modelling and its applications: CRC Press, (1996).

Google Scholar