Pendugaan Fungsi Intensitas Proses Poisson Periodik dengan Tren Fungsi Pangkat Menggunakan Metode Tipe Kernel
Stochastic process has an important role in many areas in everyday life, including the customer service process. The number of customers who come to a service center will be different for each particular time. A special form of stochastic process with continuous time and discrete state space is peri...
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Format: | Article |
Language: | English |
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Bina Nusantara University
2011-06-01
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Series: | ComTech |
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Online Access: | https://journal.binus.ac.id/index.php/comtech/article/view/2783 |
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author | Ro’fah Nur Rachmawati |
author_facet | Ro’fah Nur Rachmawati |
author_sort | Ro’fah Nur Rachmawati |
collection | DOAJ |
description | Stochastic process has an important role in many areas in everyday life, including the customer service process. The number of customers who come to a service center will be different for each particular time. A special form of stochastic process with continuous time and discrete state space is periodic Poisson process, which is a Poisson process with an intensity function of a periodic function. However, on the stochastic modeling of a phenomenon by a periodic Poisson process, the intensity function of the process is generally unknown. Therefore, a method is needed to infer the function. In this article, a Kernel estimator is formulated from a periodic Poisson process with a trend component in a rank function, which is divided into two cases; the identified rank function coefficient and the unidentified rank function coefficient. |
first_indexed | 2024-03-12T06:24:53Z |
format | Article |
id | doaj.art-5efa1d24d4a445dd997dcda0b0c15451 |
institution | Directory Open Access Journal |
issn | 2087-1244 2476-907X |
language | English |
last_indexed | 2024-03-12T06:24:53Z |
publishDate | 2011-06-01 |
publisher | Bina Nusantara University |
record_format | Article |
series | ComTech |
spelling | doaj.art-5efa1d24d4a445dd997dcda0b0c154512023-09-03T01:59:12ZengBina Nusantara UniversityComTech2087-12442476-907X2011-06-012145846610.21512/comtech.v2i1.27832174Pendugaan Fungsi Intensitas Proses Poisson Periodik dengan Tren Fungsi Pangkat Menggunakan Metode Tipe KernelRo’fah Nur Rachmawati0Bina Nusantara UniversityStochastic process has an important role in many areas in everyday life, including the customer service process. The number of customers who come to a service center will be different for each particular time. A special form of stochastic process with continuous time and discrete state space is periodic Poisson process, which is a Poisson process with an intensity function of a periodic function. However, on the stochastic modeling of a phenomenon by a periodic Poisson process, the intensity function of the process is generally unknown. Therefore, a method is needed to infer the function. In this article, a Kernel estimator is formulated from a periodic Poisson process with a trend component in a rank function, which is divided into two cases; the identified rank function coefficient and the unidentified rank function coefficient.https://journal.binus.ac.id/index.php/comtech/article/view/2783stochastic process, periodic Poisson process, Kernel function, rank function trend |
spellingShingle | Ro’fah Nur Rachmawati Pendugaan Fungsi Intensitas Proses Poisson Periodik dengan Tren Fungsi Pangkat Menggunakan Metode Tipe Kernel ComTech stochastic process, periodic Poisson process, Kernel function, rank function trend |
title | Pendugaan Fungsi Intensitas Proses Poisson Periodik dengan Tren Fungsi Pangkat Menggunakan Metode Tipe Kernel |
title_full | Pendugaan Fungsi Intensitas Proses Poisson Periodik dengan Tren Fungsi Pangkat Menggunakan Metode Tipe Kernel |
title_fullStr | Pendugaan Fungsi Intensitas Proses Poisson Periodik dengan Tren Fungsi Pangkat Menggunakan Metode Tipe Kernel |
title_full_unstemmed | Pendugaan Fungsi Intensitas Proses Poisson Periodik dengan Tren Fungsi Pangkat Menggunakan Metode Tipe Kernel |
title_short | Pendugaan Fungsi Intensitas Proses Poisson Periodik dengan Tren Fungsi Pangkat Menggunakan Metode Tipe Kernel |
title_sort | pendugaan fungsi intensitas proses poisson periodik dengan tren fungsi pangkat menggunakan metode tipe kernel |
topic | stochastic process, periodic Poisson process, Kernel function, rank function trend |
url | https://journal.binus.ac.id/index.php/comtech/article/view/2783 |
work_keys_str_mv | AT rofahnurrachmawati pendugaanfungsiintensitasprosespoissonperiodikdengantrenfungsipangkatmenggunakanmetodetipekernel |