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On the Maximum Likelihood Estimators’ Uniqueness and Existence for Two Unitary Distributions: Analytically and Graphically, with Application

Symmetry · Mayıs 2024

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YÖKSİS Kayıtları
On the Maximum Likelihood Estimators’ Uniqueness and Existence for Two Unitary Distributions: Analytically and Graphically, with Application
Symmetry · 2024 SCI-Expanded
DOÇENT YUNUS AKDOĞAN →
On the Maximum Likelihood Estimators’ Uniqueness and Existence for Two Unitary Distributions: Analytically and Graphically, with Application
Symmetry · 2024 SCI-Expanded
ARAŞTIRMA GÖREVLİSİ TENZİLE ERBAYRAM →

Makale Bilgileri

DergiSymmetry
Yayın TarihiMayıs 2024
Cilt / Sayfa16
DOI10.3390/sym16050610
Scopus ID2-s2.0-85194184477
Erişim🔓 Açık Erişim
Özet Unit distributions, exhibiting inherent symmetrical properties, have been extensively studied across various fields. A significant challenge in these studies, particularly evident in parameter estimations, is the existence and uniqueness of estimators. Often, it is challenging to demonstrate the existence of a unique estimator. The major issue with maximum likelihood and other estimator-finding methods that use iterative methods is that they need an initial value to reach the solution. This dependency on initial values can lead to local extremes that fail to represent the global extremities, highlighting a lack of symmetry in solution robustness. This study applies a very simple, and unique, estimation method for unit Weibull and unit Burr XII distributions that both attain the global maximum value. Therefore, we can conclude that the findings from the obtained propositions demonstrate that both the maximum likelihood and graphical methods are symmetrically similar. In addition, three real-world data applications are made to show that the method works efficiently.

Yazarlar (4)

1
Gadir Alomair
ORCID: 0000-0001-8557-3796
2
Yunus Akdoğan
3
Hassan S. Bakouch
4
Tenzile Erbayram
ORCID: 0000-0002-3275-120X

Anahtar Kelimeler

Cauchy–Schwarz inequality data analysis graphical method simulation unitary distribution

Kurumlar

King Faisal University
Al-Ahsa Saudi Arabia
Qassim University
Al-Mulida Saudi Arabia
Selçuk Üniversitesi
Selçuklu Turkey
Tanta University
Tanta Egypt

Metrikler

3
Atıf
4
Yazar
5
Anahtar Kelime

Sistemimizdeki Yazarlar

TE
TENZİLE ERBAYRAM
ARAŞTIRMA GÖREVLİSİ

Hızlı Erişim

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