A Memoir on Model Selection Criterion between Two Nested and Non-Nested Stochastic Linear Regression Models
-
https://doi.org/10.14419/ijet.v7i4.10.21219
Received date: October 7, 2018
Accepted date: October 7, 2018
Published date: October 2, 2018
-
Test statistic, OLS residual sum of squares, nested and non-nested stochastic linear regression model, internally studentized residuals, OLS estimator. -
Abstract
The main purpose of this paper is to discuss some applications of internally studentized residuals 9n the model selection criterion between two nested and non-nested stochastic linear regression models. Joseph et.al [1] formulated various proposals from a Bayesian decision-theoretic perspective regarding model selection Criterion. Oliver Francois et.al [2] proposed novel approaches to model selection based on predictive distributions and approximations of the deviance. Jerzy szroeter [3] in his paper depicted the development of statistical methods to test non-nested models including regressions, simultaneous equations. In particular new criteria for a model selection between two nested/ non-nested stochastic linear regression models have been suggested here.
-
References
- Joseph B. Kadane, Nicol .A. Lazer (2003), “Methods and Criteria for model selection”, Carnegie Mellon university Research, Depart-ment of Statistics.
- Neil H. Timm (2018), “Multivariate linear regression models, model selection, Fit association and prediction.
- V Olivier Francois and Guillaume Laval (2011), “Deviance infor-mation criteria for model selection in approximate Bayesian Compu-tation”, Statistical Applications in Genetics and Molecular biology, Vol.10, issue 1, Article 33.
- Ming ye, Philip D. Merger and Shlomo P. Neumam (2008), “On model selection Criterion in multi model analysis”, Water resources research, Vol.44, Wo 3428.
- Jerzy Szroeter (1999), “Testing non-nested economic models”, The current state of Economic Science, Pp: 223-253.
- Zucchini W. (2000), “An introduction to Model selection”, Journal of Mathematical Psychology.
- Balasidda muni, P. et.ai. (2011), “Advanced Tools for Mathematical and Stochastic Modelling”, Proceedings of the International Con-ference on Stochastic Modeling and Simulation, Allied Publishers.
- Byron J.T. Morgan, (2008), “Applied stochastic Modelling”, CRC Press, 978-1-58488-666-2.
- Berry L. Nelson, (1995), “Stochastic Modelling, Analysis and Simu-lation”, McGraw-Hill, 978-0070462137.
- Nelson, B.L. (1995), “Stochastic Modeling”, McGraw-Hill, New York, 0-486-47770-3.
- Taylor, H.M. and Samuel karlin, (1998), “An Introduction to Sto-chastic Modelling”, Academic Press, London, 978-0-12-684887-8.
- Nafeez Umar, S. and Balasiddamuni, P. (2013), “Statistical Infer-ence on Model Specification in Econometrics”, LAMBERT Aca-demic Publishing, Germany.
- Ramana Murthy .B. et.al (2011), “A modified criterion for model selection”, Proceedings of ICMS -2011, ISBN-978-81-8424-743-5.
- Rao .C.R. et.al (2001), “On model selection”, Lecture notes-monographs series, infinite of Mathematical statistics, Vol.38, Pp: 1-64
-
Downloads
-
How to Cite
Narayana, C., Mahaboob, B., Venkateswarlu, B., & Ravi sankar, J. (2018). A Memoir on Model Selection Criterion between Two Nested and Non-Nested Stochastic Linear Regression Models. International Journal of Engineering and Technology, 7(4.10), 529-531. https://doi.org/10.14419/ijet.v7i4.10.21219
