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280932

Proposed Double Sigmoidal Growth Curves: Modeling and Estimation

Article

Last updated: 23 Jan 2023

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Tags

مجالات العلوم التجارية وهى فروع الإدارة والمحاسبة والاقتصاد والعلوم السياسية والإحصاء التطبيقي والتأمين

Abstract

Sigmoidal growth curves are a useful tool for modeling experimental growth data when growth proceeds sigmoidally over time. When the changes in response have a double sigmoid growth pattern, it is convenient to employ a double sigmoid growth model to be able to describe the data well. In this paper, new double sigmoidal growth curves are presented based on the Burr Type XII distribution. In addition, for modeling the proposed curves, the procedure of summation of two single sigmoidal growth curves is considered. The proposed models namely the double Burr Type XII–logistic sigmoid growth model and the modified double Burr Type XII–logistic sigmoid growth model. Furthermore, to estimate the parameters of the proposed models, the non-linear least squares and the maximum likelihood methods are used. Moreover, a simulation study and an application are carried out to examine the performance of the proposed models compared to some classical double sigmoid growth models. The results indicate that the proposed model, modified double Burr Type XII–logistic sigmoid growth model is superior to the other existing models.

DOI

10.21608/alat.2023.280932

Keywords

Keywords: Sigmoidal growth curve, Double sigmoid growth model, Double Burr Type XII–logistic model, Modified double Burr Type XII–logistic model, Non-linear least squares

Authors

First Name

N. E.

Last Name

Abd Al-Rahman

MiddleName

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Affiliation

Faculty of Commerce (Girls'Branch), Al-Azhar University, Cairo, Egypt.

Email

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City

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Orcid

-

First Name

A. E.

Last Name

Abu-Hussien

MiddleName

-

Affiliation

Faculty of Commerce (Girls'Branch), Al-Azhar University, Cairo, Egypt.

Email

-

City

-

Orcid

-

First Name

S. A. Mousa

Last Name

Mousa

MiddleName

-

Affiliation

Faculty of Commerce (Girls'Branch), Al-Azhar University, Cairo, Egypt.

Email

-

City

-

Orcid

-

First Name

E. G.

Last Name

Yehia

MiddleName

-

Affiliation

Faculty of Commerce (Girls'Branch), Al-Azhar University, Cairo, Egypt

Email

-

City

-

Orcid

-

Volume

47

Article Issue

1

Related Issue

39031

Issue Date

2023-01-01

Receive Date

2023-01-19

Publish Date

2023-01-01

Page Start

48

Page End

85

Print ISSN

1110-2284

Online ISSN

2785-9703

Link

https://alat.journals.ekb.eg/article_280932.html

Detail API

https://alat.journals.ekb.eg/service?article_code=280932

Order

280,932

Type

المقالة الأصلية

Type Code

1,832

Publication Type

Journal

Publication Title

المجلة المصرية للدراسات التجارية

Publication Link

https://alat.journals.ekb.eg/

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Details

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Article

Created At

23 Jan 2023