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Title: :  EXAMINING ALKHAMISI RIDGE ESTIMATOR IN DIFFERENT TYPES VARIOUS FORMS AND KINDS USING MONTE CARLO STUDY
PaperId: :  26087
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 11 Issue 2 2025
DUI:    16.0415/IJARIIE-26087
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Akintola Olusesan Tolulope Federal University of Technology Akure Ondo State Nigeria
Alabi Olatayo Olusegun Federal University of Technology Akure Ondo State Nigeria

Abstract

Statistics
Multicollinearity, Ridge Regression, Monte Carlo Study, Econometrics, Mean Square Error.
Abstract The existence of high correlations between two or more exogenous variables in regression can lead to a serious multicolinearity problem. Multicollinearity influences the ordinary least squares estimator in producing inefficient estimates. Based on the aforementioned, application of ridge regression to obtain ridge parameter that will produce efficient estimates in the presence of multicollinearity becomes necessary. Several authors have studied modalities of setting ridge parameters that will give best estimates of the model parameters. This research work examined the ridge parameter estimation techniques of Alkhamisi ridge estimator, which has already been examined in different forms and in various types by some authors. However, the concept of various kinds of ridge estimators was introduced into the classification of Alkhamisi ridge parameter; this now resulted in proposing 228 new ridge parameters. The existing and proposed ridge estimators (228) were compared through Monte Carlo simulation experiment 1000 times on a linear regression model with three (3) exogenous variables (), taking ( and seven (7) predictor variables (), taking that exhibited different degrees of multicollinearity: , standard error and six sample sizes: At , the problem of multicollinearity existed which was pronounced and corrected at . In order to identify the proposed ridge estimators with most efficient estimates, their individual performances were compared with the existing results via mean square error criterion. From the results, it was noticed that the proposed estimators were among those that provided efficient estimates; some of them also performed better than the existing ones even after applying to simulated and real-life data. The best ridge parameter is K4FM1R, which is a proposed estimator.

Citations

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IJARIIE Akintola Olusesan Tolulope , and Alabi Olatayo Olusegun . "EXAMINING ALKHAMISI RIDGE ESTIMATOR IN DIFFERENT TYPES VARIOUS FORMS AND KINDS USING MONTE CARLO STUDY" International Journal Of Advance Research And Innovative Ideas In Education Volume 11 Issue 2 2025 Page 1250-1260
MLA Akintola Olusesan Tolulope , and Alabi Olatayo Olusegun . "EXAMINING ALKHAMISI RIDGE ESTIMATOR IN DIFFERENT TYPES VARIOUS FORMS AND KINDS USING MONTE CARLO STUDY." International Journal Of Advance Research And Innovative Ideas In Education 11.2(2025) : 1250-1260.
APA Akintola Olusesan Tolulope , & Alabi Olatayo Olusegun . (2025). EXAMINING ALKHAMISI RIDGE ESTIMATOR IN DIFFERENT TYPES VARIOUS FORMS AND KINDS USING MONTE CARLO STUDY. International Journal Of Advance Research And Innovative Ideas In Education, 11(2), 1250-1260.
Chicago Akintola Olusesan Tolulope , and Alabi Olatayo Olusegun . "EXAMINING ALKHAMISI RIDGE ESTIMATOR IN DIFFERENT TYPES VARIOUS FORMS AND KINDS USING MONTE CARLO STUDY." International Journal Of Advance Research And Innovative Ideas In Education 11, no. 2 (2025) : 1250-1260.
Oxford Akintola Olusesan Tolulope , and Alabi Olatayo Olusegun . 'EXAMINING ALKHAMISI RIDGE ESTIMATOR IN DIFFERENT TYPES VARIOUS FORMS AND KINDS USING MONTE CARLO STUDY', International Journal Of Advance Research And Innovative Ideas In Education, vol. 11, no. 2, 2025, p. 1250-1260. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/EXAMINING_ALKHAMISI_RIDGE_ESTIMATOR_IN_DIFFERENT_TYPES_VARIOUS_FORMS_AND_KINDS_USING_MONTE_CARLO_STUDY_ijariie26087.pdf (Accessed : 07 April 2025).
Harvard Akintola Olusesan Tolulope , and Alabi Olatayo Olusegun . (2025) 'EXAMINING ALKHAMISI RIDGE ESTIMATOR IN DIFFERENT TYPES VARIOUS FORMS AND KINDS USING MONTE CARLO STUDY', International Journal Of Advance Research And Innovative Ideas In Education, 11(2), pp. 1250-1260IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/EXAMINING_ALKHAMISI_RIDGE_ESTIMATOR_IN_DIFFERENT_TYPES_VARIOUS_FORMS_AND_KINDS_USING_MONTE_CARLO_STUDY_ijariie26087.pdf (Accessed : 07 April 2025)
IEEE Akintola Olusesan Tolulope , and Alabi Olatayo Olusegun , "EXAMINING ALKHAMISI RIDGE ESTIMATOR IN DIFFERENT TYPES VARIOUS FORMS AND KINDS USING MONTE CARLO STUDY," International Journal Of Advance Research And Innovative Ideas In Education, vol. 11, no. 2, pp. 1250-1260, Mar-App 2025. [Online]. Available: https://ijariie.com/AdminUploadPdf/EXAMINING_ALKHAMISI_RIDGE_ESTIMATOR_IN_DIFFERENT_TYPES_VARIOUS_FORMS_AND_KINDS_USING_MONTE_CARLO_STUDY_ijariie26087.pdf [Accessed : 07 April 2025].
Turabian Akintola Olusesan Tolulope , and Alabi Olatayo Olusegun . "EXAMINING ALKHAMISI RIDGE ESTIMATOR IN DIFFERENT TYPES VARIOUS FORMS AND KINDS USING MONTE CARLO STUDY." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 11 number 2 (07 April 2025).
Vancouver Akintola Olusesan Tolulope , and Alabi Olatayo Olusegun . EXAMINING ALKHAMISI RIDGE ESTIMATOR IN DIFFERENT TYPES VARIOUS FORMS AND KINDS USING MONTE CARLO STUDY. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2025 [Cited : 07 April 2025]; 11(2) : 1250-1260. Available from: https://ijariie.com/AdminUploadPdf/EXAMINING_ALKHAMISI_RIDGE_ESTIMATOR_IN_DIFFERENT_TYPES_VARIOUS_FORMS_AND_KINDS_USING_MONTE_CARLO_STUDY_ijariie26087.pdf
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