https://orcid.org/0000-0002-7866-0653
References
- Castellares F, Ferrari SLP, Lemonte AJ. On the Bell distribution and its associated regression model for count data. Applied Mathematical Modelling. 2018;56:172–185. doi: 10.1016/j.apm.2017.12.014
- Majid A, Amin M, Akram MN. On the Liu estimation of Bell regression model in the presence of multicollinearity. J Stat Comput Simul. 2021;92(2):262–282. doi: 10.1080/00949655.2021.1955886
- Ertan E, Algamal ZY, Erko A, et al. A new improvement Liu-type estimator for the Bell regression model. Commun Stat Simul Comput. 2023:1–12. doi: 10.1080/03610918.2023.2252624
- Amin M, Akram MN, Majid A. On the estimation of Bell regression model using ridge estimator. Commun Stat Simul Comput. 2021;52(3):854–867. doi: 10.1080/03610918.2020.1870694
- Shewaa GA, Ugwuowo FI. Combating the multicollinearity in bell regression model: simulation and application. J Nig Soc Phys Sci. 2022;4:713. doi: 10.46481/jnsps.2022.4.3
- Algamal Z, Lukman A, Golam BMK, et al. Modified jackknifed ridge estimator in bell regression model: theory, simulation and applications. Iraqi J Comput Sci Math. 2023;4(1):146–154.
- Abduljabbar LA, Algamal ZY. Jackknifed K-L estimator in Bell regression model. Math Stat Eng Appl. 2022;71(3s2):267–278.
- Bancroft TA. On biases in estimation due to the use of preliminary tests of significance. Ann Math Stat. 1944;15:190–204. doi: 10.1214/aoms/1177731284
- Stein C. The admissibility of Hotelling's T 2-test. Math Stat. 1956;27:616–623. doi: 10.1214/aoms/1177728171
- Kibria BMG, Saleh A. Performance of positive rule estimator in the ill-conditioned Gaussian regression model. Calcutta Statist Assoc Bull. 2004;55:209–240. doi: 10.1177/0008068320040306
- Ahmed SE. Penalty, shrinkage and pretest strategies: variable selection and estimation. New York: Springer; 2014.
- Kibria BMG. Performance of the shrinkage preliminary test ridge regression estimators based on the conflicting of W, LR and LM tests. J Stat Comput Simul. 2004;74(11):793–810. doi: 10.1080/0094965031000120181
- Akram MN, Amin M, Amanullah M. James Stein estimator for the inverse Gaussian regression model. Iran J Sci Technol Trans Sci. 2021;45:1389–1403. doi: 10.1007/s40995-021-01133-0
- Amin M, Akram MN, Amanullah M. On the James-Stein estimator for the Poisson regression model. Commun Stat Simul Comput. 2020;51(10):5596–5608.
- Mahmoudi A, Arabi Belaghi R, Mandal S. A comparison of preliminary test, Stein-type and penalty estimators in gamma regression model. J Stat Comput Simul. 2020;90(17):3051–3079. doi: 10.1080/00949655.2020.1795174
- Seifollahi S, Bevrani H. James-Stein type estimators in beta regression model: simulation and application. Hacettepe J Math Stat. 2023;52(4):1046–1065. doi: 10.15672/hujms.1122207
- Bell ET. Exponential numbers. Am Math Mon. 1934;41:419–424. doi: 10.1080/00029890.1934.11987616
- Bell ET. Exponential polynomials. Ann Math. 1934;35:258. doi: 10.2307/1968431
- Myers RH, Montgomery DC, Vining GG, et al. Generalized linear models: with applications in engineering and the sciences. New York: Wiley; 2012.
- Demarqui F, Prates M, Caceres F. ‘bellreg’ R Package; 2022.
- Seifollahi S, Bevrani H, Albalawi O. Reducing bias in beta regression models using Jackknifed Liu-type estimators: applications to chemical data. J Math. 2024;2024:6694880.
- Judge GG, Bock ME. The statistical implications of pre-test and stein-rule estimators in econometrics. Amsterdam: North Holland; 1978.