Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications

Adi Omaia Faouri; Pelin Kasap

doi:10.47112/neufmbd.2023.19

TR EN

Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications

Öz

The Nakagami distribution originated to model the fading of radio signals and is widely used in various disciplines. In this study, the maximum likelihood (ML) estimation method is used to estimate the shape and scale parameters of the distribution. However, there are no explicit solutions to the likelihood equations for this distribution. Therefore, three main algorithms, the particle swarm optimization algorithm (PSO), the genetic algorithm (GA), and the quasi-newton (QN) algorithm, have been used to solve these equations. Comparisons of the performances of these algorithms have been made with a comprehensive Monte-Carlo simulation study, taking into account the bias, mean squared error (MSE), and deficiency (DEF) criteria. The model has been applied to four real data sets in order to demonstrate its usefulness.

Anahtar Kelimeler

Maximum Likelihood, Nakagami Distribution, Particle swarm optimization, Monte-Carlo simulation

Kaynakça

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Ayrıntılar

Birincil Dil

İngilizce

Konular

Hesaplamalı İstatistik, İstatistiksel Analiz, Uygulamalı İstatistik

Bölüm

Araştırma Makalesi

Yazarlar

Adi Omaia Faouri
0000-0003-4499-1240
Türkiye

Pelin Kasap ^*
0000-0002-1106-710X
Türkiye

Erken Görünüm Tarihi

23 Aralık 2023

Yayımlanma Tarihi

31 Aralık 2023

Gönderilme Tarihi

3 Eylül 2023

Kabul Tarihi

12 Ekim 2023

Yayımlandığı Sayı

Yıl 2023 Cilt: 5 Sayı: 2

DOI

https://doi.org/10.47112/neufmbd.2023.19

IZ

https://izlik.org/JA42UA37PX

APA

Faouri, A. O., & Kasap, P. (2023). Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications. Necmettin Erbakan University Journal of Science and Engineering, 5(2), 209-218. https://doi.org/10.47112/neufmbd.2023.19

AMA

1.Faouri AO, Kasap P. Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications. NEU Fen Muh Bil Der. 2023;5(2):209-218. doi:10.47112/neufmbd.2023.19

Chicago

Faouri, Adi Omaia, ve Pelin Kasap. 2023. “Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications”. Necmettin Erbakan University Journal of Science and Engineering 5 (2): 209-18. https://doi.org/10.47112/neufmbd.2023.19.

EndNote

Faouri AO, Kasap P (01 Aralık 2023) Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications. Necmettin Erbakan University Journal of Science and Engineering 5 2 209–218.

IEEE

[1]A. O. Faouri ve P. Kasap, “Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications”, NEU Fen Muh Bil Der, c. 5, sy 2, ss. 209–218, Ara. 2023, doi: 10.47112/neufmbd.2023.19.

ISNAD

Faouri, Adi Omaia - Kasap, Pelin. “Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications”. Necmettin Erbakan University Journal of Science and Engineering 5/2 (01 Aralık 2023): 209-218. https://doi.org/10.47112/neufmbd.2023.19.

JAMA

1.Faouri AO, Kasap P. Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications. NEU Fen Muh Bil Der. 2023;5:209–218.

MLA

Faouri, Adi Omaia, ve Pelin Kasap. “Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications”. Necmettin Erbakan University Journal of Science and Engineering, c. 5, sy 2, Aralık 2023, ss. 209-18, doi:10.47112/neufmbd.2023.19.

Vancouver

1.Adi Omaia Faouri, Pelin Kasap. Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications. NEU Fen Muh Bil Der. 01 Aralık 2023;5(2):209-18. doi:10.47112/neufmbd.2023.19

Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications

Parçacık Sürü Optimizasyon Algoritması Kullanılarak Nakagami Dağılımı için En Çok Olabilirlik Tahmini ve Uygulamaları

Öz

Anahtar Kelimeler

Maximum Likelihood Estimation for the Nakagami Distribution Using Particle Swarm Optimization Algorithm with Applications

Öz

Anahtar Kelimeler

Kaynakça

Ayrıntılar

Birincil Dil

Konular

Bölüm

Yazarlar

Erken Görünüm Tarihi

Yayımlanma Tarihi

Gönderilme Tarihi

Kabul Tarihi

Yayımlandığı Sayı

DOI

IZ

Kaynak Göster