Open AccessPENDUGAAN KOMPONEN PERIODIK FUNGSI INTENSITAS BERBENTUK FUNGSI PERIODIK KALI TREN LINEAR SUATU PROSES POISSON NON-HOMOGEN
Author(s) -
W. Ismayulia,
I Wayan Mangku,
S. Siswandi
Publication year - 2013
Publication title -
journal of mathematics and its applications jma
Language(s) - English
Resource type - Journals
ISSN - 1412-677X
DOI - 10.29244/jmap.12.1.49-62
Subject(s) - mathematics , estimator , mean squared error , poisson distribution , minimum variance unbiased estimator , statistics
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.