426744

Comparative Study of Estimation Methods for Kumaraswamy Weibull Regression Model: An Application to Economic Value-Added Data

Article

Last updated: 11 May 2025

Subjects

-

Tags

Multilevel models

Abstract

This study investigates several parameter estimation techniques for the Kumaraswamy Weibull regression model using economic value-added data. Five methods are compared: maximum likelihood estimation (MLE), ordinary least squares (OLS), weighted least squares (WLS), Cramér-von Mises (CVM), and Anderson-Darling (AD). The analysis, based on quarterly data from five firms over 24 periods, shows that MLE consistently achieves the lowest values across the three information criteria (AIC, BIC, and HQIC). After identifying MLE as the optimal estimation technique, parameters for both Kumaraswamy Weibull and standard Weibull models were estimated. Statistical tests reveal the superiority of the Kumaraswamy Weibull model in handling economic value-added data, yielding a higher p-value (0.273) compared to the standard Weibull model (0.063). Additionally, the regression model based on the Kumaraswamy Weibull distribution demonstrates a superior fit (R² = 0.96 compared to 0.84) and aligns more closely with economic theory. In particular, economic value-added is found to be positively related to firm size and negatively related to both leverage and collection periods. The findings offer important methodological insights for selecting appropriate distributions and estimation methods in complex financial data modeling.

DOI

10.21608/esju.2025.349713.1062

Keywords

Economic value-added, Kumaraswamy Weibull distribution, Maximum likelihood estimation, Parameter estimation, Regression Model

Authors

First Name

Ahmed

Last Name

Ahmed

MiddleName

Abdalla Abdelmaksoud

Affiliation

PhD researcher in statistics at the Faculty of Graduate Studies for Statistical Research (FSSR), Cairo University, Egypt

Email

drboda2016@gmail.com

City

-

Orcid

-

First Name

Salah

Last Name

Mohamed

MiddleName

Mahdy

Affiliation

Department of Applied Statistics and Econometrics, Faculty of Graduate Studies for Statistical Research (FSSR), Cairo University, Egypt.

Email

dr.mahdym1962@cu.edu.eg

City

-

Orcid

-

First Name

Amal

Last Name

Abdelfattah

MiddleName

Mohamed

Affiliation

Department of Applied Statistics and Econometrics, Faculty of Graduate Studies for Statistical Research (FSSR), Cairo University, Egypt.

Email

asoubh84@cu.edu.eg

City

Al-Qāhirah (incl. Ḥulwān) [Cairo]

Orcid

0000-0002-4077-564X

Volume

69

Article Issue

1

Related Issue

53982

Issue Date

2025-06-01

Receive Date

2025-01-01

Publish Date

2025-06-01

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_426744.html

Detail API

http://journals.ekb.eg?_action=service&article_code=426744

Order

426,744

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Comparative Study of Estimation Methods for Kumaraswamy Weibull Regression Model: An Application to Economic Value-Added Data

Details

Type

Article

Created At

11 May 2025