Open AccessKekonvergenan MSE Penduga Kernel Seragam Fungsi Intensitas Proses Poisson Periodik dengan Tren Fungsi Pangkat
Author(s) -
Ro’fah Nur Rachmawati
Publication year - 2012
Publication title -
comtech/comtech
Language(s) - English
Resource type - Journals
eISSN - 2476-907X
pISSN - 2087-1244
DOI - 10.21512/comtech.v3i1.2403
Subject(s) - estimator , mathematics , kernel (algebra) , rank (graph theory) , compound poisson process , poisson distribution , function (biology) , poisson process , kernel smoother , statistics , combinatorics , kernel method , computer science , evolutionary biology , biology , artificial intelligence , radial basis function kernel , support vector machine
The number of customers who come to a service center will be different for each particular time. However, it can be modeled by a stochastic process. One particular form of stochastic process with continuous time and discrete state space is a periodic Poisson process. The intensity function of the process is generally unknown, so we need a method to estimate it. In this paper an estimator of kernel uniform of a periodic Poisson process is formulated with a trend component in a rank function (rank coefficient 0 0 is known). It is also demonstrated the convergenity of the estimators obtained. The result of this paper is a formulation of a uniform kernel estimator for the intensity function of a periodic Poisson process with rank function trends (for the case “a” is known) and the convergenity proof of the estimators obtained.