Generalisasi Algoritma Thinning Process pada Proses Poisson Majemuk dengan Komponen Proses Poisson Nonhomogen dan Distribusi Gamma

Abdullah, Syarif; Susilo, Sidik; Huda, Miftahul; Valentika, Nina; Chasanah, Sri Istiyarti Uswatun; Nuha, Agusyarif Rezka; Wisnuadji, Aswata; Ikhsan, Fajri; Rukmayadi, Yazid

doi:10.30651/must.v5i2.6485

Cited by 1 publication

(2 citation statements)

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“…Algoritma ini kemudian dikembangkan untuk membangkitkan proses Poisson majemuk [13]. Generalisasi algoritma ini kemudian dikembangkan dengan menggunakan fungsi intensitas nonhomogen pada proses Poissonnya dengan menggunakan distribusi eksponensial [14,15] dan gamma [16] pada komponen akibat dari suatu kejadian yang terjadi.…”

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Implementasi Penggunaan Generalisasi Thinning Process pada Penduga Fungsi Ragam Proses Poisson Periodik Majemuk

Abdullah,

Mangku,

Mursyidah

et al. 2024

Jambura J. Math

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This article implements the thinning process algorithm, which has been generalized for estimators of compound periodic Poisson processes. The use of generalizations in the algorithm has been prepared with a linear trend in the periodic elements. This research aims to discuss estimators of the variance function. The method used in this research is the simulation method. Simulation results using a generalized algorithm thinning process show that in the case of a limited observation time interval, some estimators are good enough to approach the actual value. As the value of n increases, the simulated value of the estimator moves towards the predicted value. This is following the lemmas, theorems, and consequences that have been discussed. It was also found that several estimators were quite slow. This results in the movement of the bias, variance, and MSE values of the estimators being slow, even though they are moving towards 0. So that further modifications can be made to the model being studied.

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Section: Article Historyunclassified

“…Proses thinning ini kemudian dikembangkan untuk proses Poisson majemuk [13]. Algorima pada [13] dan [16] digunakan untuk mengetahui keefektifan dari peduga-penduga. Sehingga langkah awal sebelum melakukan proses simulasi adalah membuat program pada perangkat lunak Matlab dan melakukan proses simulasi yang dijelaskan pada bagian pembahasan.…”

Section: Metodeunclassified

Implementasi Penggunaan Generalisasi Thinning Process pada Penduga Fungsi Ragam Proses Poisson Periodik Majemuk

Abdullah,

Mangku,

Mursyidah

et al. 2024

Jambura J. Math

View full text Add to dashboard Cite

show abstract

Generalisasi Algoritma Thinning Process pada Proses Poisson Majemuk dengan Komponen Proses Poisson Nonhomogen dan Distribusi Gamma

Cited by 1 publication

References 6 publications

Implementasi Penggunaan Generalisasi Thinning Process pada Penduga Fungsi Ragam Proses Poisson Periodik Majemuk

Implementasi Penggunaan Generalisasi Thinning Process pada Penduga Fungsi Ragam Proses Poisson Periodik Majemuk

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