MILANG Journal of Mathematics and Its Applications
Vol. 12 No. 1 (2013): Journal of Mathematics and Its Applications

PENDUGAAN KOMPONEN PERIODIK FUNGSI INTENSITAS BERBENTUK FUNGSI PERIODIK KALI TREN LINEAR SUATU PROSES POISSON NON-HOMOGEN

ISMAYULIA, W. (Unknown)
MANGKU, I W. (Unknown)
SISWANDI, S. (Unknown)

Article Info

Publish Date
01 Jul 2013

Abstract

In this manuscript, estimation of the periodic component of intensity having form periodic function multiplied by the linear trend of a non homogeneous Poisson process is discussed. The estimator is constructed using a single realization of the Poisson process observed in the interval  0,???? . It is assumed that the period of the periodic component is known. The convergence of the Mean Square Error (MSE) of the estimator has been proved. In addition, asymptotic approximations to the bias, variance, and Mean Square Error (MSE) of the estimator have been proved. An asymptotic optimal bandwidth is also given.

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Journal Info
MILANG Journal of Mathematics and Its Applications
Website

Abbrev

jmap

Publisher

Institut Pertanian Bogor

Subject

Mathematics

Description

MILANG Journal of Mathematics and Its Applications publishes original research articles in the broad field of mathematics and its interdisciplinary applications. The journal covers, but is not limited to, the following areas: Mathematics in Informatics, Mathematics in Life Sciences, Mathematics in ...