<doi_batch xmlns="http://www.crossref.org/schema/4.4.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" version="4.4.0"><head><doi_batch_id>745ba493-1adc-484c-8774-0aa9a3f7a54f</doi_batch_id><timestamp>20220920053706608</timestamp><depositor><depositor_name>wseas:wseas</depositor_name><email_address>mdt@crossref.org</email_address></depositor><registrant>MDT Deposit</registrant></head><body><journal><journal_metadata language="en"><full_title>WSEAS TRANSACTIONS ON MATHEMATICS</full_title><issn media_type="electronic">2224-2880</issn><issn media_type="print">1109-2769</issn><archive_locations><archive name="Portico"/></archive_locations><doi_data><doi>10.37394/23206</doi><resource>http://wseas.org/wseas/cms.action?id=4051</resource></doi_data></journal_metadata><journal_issue><publication_date media_type="online"><month>1</month><day>5</day><year>2022</year></publication_date><publication_date media_type="print"><month>1</month><day>5</day><year>2022</year></publication_date><journal_volume><volume>21</volume><doi_data><doi>10.37394/23206.2022.21</doi><resource>https://wseas.com/journals/mathematics/2022.php</resource></doi_data></journal_volume></journal_issue><journal_article language="en"><titles><title>Predictive Performance Evaluation of the Kibria-Lukman Estimator</title></titles><contributors><person_name sequence="first" contributor_role="author"><given_name>Issam</given_name><surname>Dawoud</surname><affiliation>Department of Mathematics, Al-Aqsa University, Gaza, PALESTINE</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Mohamed R.</given_name><surname>Abonazel</surname><affiliation>Department of Applied Statistics and Econometrics, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, EGYPT</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Elsayed Tag</given_name><surname>Eldin</surname><affiliation>Electrical Engineering Department, Faculty of Engineering &amp; Technology, Future University in Egypt, New Cairo, EGYPT</affiliation></person_name></contributors><jats:abstract xmlns:jats="http://www.ncbi.nlm.nih.gov/JATS1"><jats:p>Regression models are commonly used in prediction, but their predictive performances may be affected by the problem called the multicollinearity. To reduce the effect of the multicollinearity, different biased estimators have been proposed as alternatives to the ordinary least squares estimator. But there are still little analyses of the different proposed biased estimators’ predictive performances. Therefore, this paper focuses on discussing the predictive performance of the recently proposed “new ridge-type estimator”, namely the Kibria-Lukman (KL) estimator. The theoretical comparisons among the predictors of these estimators are done according to the prediction mean squared error criterion in the two-dimensional space and the results are explained by a numerical example. The regions are determined where the KL estimator gives better results than the other estimators.</jats:p></jats:abstract><publication_date media_type="online"><month>9</month><day>20</day><year>2022</year></publication_date><publication_date media_type="print"><month>9</month><day>20</day><year>2022</year></publication_date><pages><first_page>641</first_page><last_page>649</last_page></pages><publisher_item><item_number item_number_type="article_number">75</item_number></publisher_item><ai:program xmlns:ai="http://www.crossref.org/AccessIndicators.xsd" name="AccessIndicators"><ai:free_to_read start_date="2022-09-20"/><ai:license_ref applies_to="am" start_date="2022-09-20">https://wseas.com/journals/mathematics/2022/b525106-047(2022).pdf</ai:license_ref></ai:program><archive_locations><archive name="Portico"/></archive_locations><doi_data><doi>10.37394/23206.2022.21.75</doi><resource>https://wseas.com/journals/mathematics/2022/b525106-047(2022).pdf</resource></doi_data><citation_list><citation key="ref0"><doi>10.1080/00401706.1970.10488634</doi><unstructured_citation>A.E. Hoerl, R.W. Kennard, Ridge regression: biased estimation for nonorthogonal problems. Technometrics, 12(1):55–67 (1970). </unstructured_citation></citation><citation key="ref1"><doi>10.1080/03610929308831027</doi><unstructured_citation>K. Liu, A new class of biased estimate in linear regression. Communication in Statistics- Theory and Methods, 22: 393–402 (1993). </unstructured_citation></citation><citation key="ref2"><doi>10.1155/2020/9758378</doi><unstructured_citation>B.M. Kibria, A.F. Lukman, A New RidgeType Estimator for the Linear Regression Model: Simulations and Applications. Scientifica Article ID 9758378, 1-16 (2020). </unstructured_citation></citation><citation key="ref3"><doi>10.1002/for.3980040205</doi><unstructured_citation>D.J. Friedman, D.C. Montgomery, Evaluation of the predictive performance of biased regression estimators. Journal of Forecasting 4: 153-163 (1985). </unstructured_citation></citation><citation key="ref4"><doi>10.1080/03610926.2012.756914</doi><unstructured_citation>F. Özbey, S. Kaçıranlar, Evaluation of the Predictive Performance of the Liu Estimator. Communications in Statistics Theory Methods 44: 1981- 1993 (2015). </unstructured_citation></citation><citation key="ref5"><doi>10.1002/for.2337</doi><unstructured_citation>I. Dawoud, S. Kaciranlar, The Predictive Performance Evaluation of Biased Regression Predictors With Correlated Errors. Journal of Forecasting 34: 364–378 (2015). </unstructured_citation></citation><citation key="ref6"><unstructured_citation>I. Dawoud, S. Kaciranlar, The Prediction of the Two Parameter Ridge Estimator. Istatistik: Journal of the Turkish Statistical Association 9: 56–66 (2016). </unstructured_citation></citation><citation key="ref7"><doi>10.1080/03610918.2015.1062101</doi><unstructured_citation>I. Dawoud, S. Kaciranlar, Evaluation of the predictive performance of the Liu type estimator. Communications in Statistics - Simulation and Computation 46: 2800-2820 (2017). </unstructured_citation></citation><citation key="ref8"><unstructured_citation>I. Dawoud, S. Kaciranlar, Evaluation of the predictive performance of the r-k and r-d class estimators. Communications in StatisticsTheory and Methods 46: 4031-4050 (2017). </unstructured_citation></citation><citation key="ref9"><unstructured_citation>R. Li, F. Li, J. Huang, Evaluation of the predictive performance of the principal component two-parameter estimator. Concurrency and Computation: Practice and Experience e4710 (2018). </unstructured_citation></citation><citation key="ref10"><doi>10.1007/s40995-019-00792-4</doi><unstructured_citation>I. Dawoud, S. Kaciranlar, The Prediction Performance of the Alternative Biased Estimators for the Distributed Lag Models. Iranian Journal of Science and Technology, Transactions A: Science 44: 85–98 (2020). </unstructured_citation></citation><citation key="ref11"><doi>10.1002/cpe.6222</doi><unstructured_citation>A.F. Lukman, Z. Y. Algamal, B.G. Kibria, K. Ayinde, The KL estimator for the inverse Gaussian regression model. Concurrency and Computation: Practice and Experience, 33(13), e6222 (2021). </unstructured_citation></citation><citation key="ref12"><doi>10.1155/2021/5545356</doi><unstructured_citation>A.F. Lukman, I. Dawoud, B.M. Kibria, Z.Y., Algamal, B. Aladeitan, A new ridge-type estimator for the gamma regression model. Scientifica, (2021). </unstructured_citation></citation><citation key="ref13"><doi>10.1080/00949655.2022.2032059</doi><unstructured_citation>M.N. Akram, B.G. Kibria, M.R. Abonazel, N. Afzal, On the performance of some biased estimators in the gamma regression model: simulation and applications. Journal of Statistical Computation and Simulation, 1-23. DOI: 10.1080/00949655.2022.2032059. </unstructured_citation></citation><citation key="ref14"><unstructured_citation>M.R. Abonazel, I. Dawoud, F.A. Awwad, A.F. Lukman, Dawoud–Kibria estimator for beta regression model: simulation and application. Frontiers in Applied Mathematics and Statistics, 8:775068 (2022). </unstructured_citation></citation><citation key="ref15"><doi>10.3389/fams.2022.880086</doi><unstructured_citation>I. Dawoud, M.R. Abonazel, Generalized Kibria-Lukman Estimator: Method, Simulation, and Application. Frontiers in Applied Mathematics and Statistics, 8:880086 (2022). </unstructured_citation></citation><citation key="ref16"><doi>10.1081/sac-120017499</doi><unstructured_citation>B.M. Kibria, Performance of some new ridge regression estimators. Communications in Statistics Simulation and Computation 32: 419-435 (2003). </unstructured_citation></citation><citation key="ref17"><doi>10.1081/sta-200056836</doi><unstructured_citation>G. Khalaf, G. Shukur, Choosing ridge parameters for regression problems. Communications in Statistics Theory Methods 34: 1177-1182 (2005). </unstructured_citation></citation><citation key="ref18"><doi>10.1080/03610910802592838</doi><unstructured_citation>G. Muniz, B.M. Kibria, On some ridge regression estimators: An empirical comparison. Communications in Statistics Simulation and Computation 38: 621-630 (2009). </unstructured_citation></citation><citation key="ref19"><doi>10.1002/cpe.6979</doi><unstructured_citation>M.R. Abonazel, I. Dawoud, Developing robust ridge estimators for Poisson regression model. Concurrency and Computation: Practice and Experience, 34: e6979 (2022). https://doi.org/10.1002/cpe.6979. </unstructured_citation></citation><citation key="ref20"><doi>10.1080/00949655.2021.1945063</doi><unstructured_citation>I. Dawoud, M.R. Abonazel, Robust Dawoud– Kibria estimator for handling multicollinearity and outliers in the linear regression model. J Stat Comput Simul. 91:3678–92 (2021). </unstructured_citation></citation><citation key="ref21"><unstructured_citation>M.N. Akram, M.R. Abonazel, M. Amin, B.M. Kibria, N. Afzal, A new Stein estimator for the zero-inflated negative binomial regression model. Concurrency Computat Pract Exper. 34:e7045 (2022). </unstructured_citation></citation><citation key="ref22"><doi>10.3389/fams.2021.780322</doi><unstructured_citation>M.R. Abonazel, Z.Y. Algamal, F.A. Awwad, I.M. Taha, A New Two-Parameter Estimator for Beta Regression Model: Method, Simulation, and Application. Front. Appl. Math. Stat. 7: 780322 (2022). </unstructured_citation></citation><citation key="ref23"><doi>10.3389/fams.2022.952142</doi><unstructured_citation>I. Dawoud, M.R. Abonazel, F.A. Awwad, E. Tag Eldin, A New Tobit Ridge-Type Estimator of the Censored Regression Model With Multicollinearity Problem. Front. Appl. Math. Stat. 8:952142 (2022). </unstructured_citation></citation><citation key="ref24"><unstructured_citation>F.A. Awwad, K.A. Odeniyi, I. Dawoud, Z.Y. Algamal, M.R. Abonazel, B.M. Kibria, E. Tag Eldin, New Two-Parameter Estimators for the Logistic Regression Model with Multicollinearity. WSEAS TRANSACTIONS on MATHEMATICS 21:403-414. </unstructured_citation></citation><citation key="ref25"><doi>10.1002/cpe.6685</doi><unstructured_citation>Z.Y. Algamal, M.R. Abonazel, Developing a Liu‐ type estimator in beta regression model. Concurrency and Computation: Practice and Experience, 34(5):e6685 (2022).</unstructured_citation></citation></citation_list></journal_article></journal></body></doi_batch>