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

W. ISMAYULIA (Bogor Agricultural University)
I W. MANGKU (Bogor Agricultural University)
S. SISWANDI (Bogor Agricultural University)

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

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.