A Memoir on Model Selection Criterion between Two Nested and Non-Nested Stochastic Linear Regression Models
-
2018-10-02 https://doi.org/10.14419/ijet.v7i4.10.21219 -
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.
Â
Â
-
References
[1] Joseph B. Kadane, Nicol .A. Lazer (2003), “Methods and Criteria for model selectionâ€, Carnegie Mellon university Research, Department of Statistics.
[2] Neil H. Timm (2018), “Multivariate linear regression models, model selection, Fit association and prediction.
[3] V Olivier Francois and Guillaume Laval (2011), “Deviance information criteria for model selection in approximate Bayesian Computationâ€, Statistical Applications in Genetics and Molecular biology, Vol.10, issue 1, Article 33.
[4] Ming ye, Philip D. Merger and Shlomo P. Neumam (2008), “On model selection Criterion in multi model analysisâ€, Water resources research, Vol.44, Wo 3428.
[5] Jerzy Szroeter (1999), “Testing non-nested economic modelsâ€, The current state of Economic Science, Pp: 223-253.
[6] Zucchini W. (2000), “An introduction to Model selectionâ€, Journal of Mathematical Psychology.
[7] Balasidda muni, P. et.ai. (2011), “Advanced Tools for Mathematical and Stochastic Modellingâ€, Proceedings of the International Conference on Stochastic Modeling and Simulation, Allied Publishers.
[8] Byron J.T. Morgan, (2008), “Applied stochastic Modellingâ€, CRC Press, 978-1-58488-666-2.
[9] Berry L. Nelson, (1995), “Stochastic Modelling, Analysis and Simulationâ€, McGraw-Hill, 978-0070462137.
[10] Nelson, B.L. (1995), “Stochastic Modelingâ€, McGraw-Hill, New York, 0-486-47770-3.
[11] Taylor, H.M. and Samuel karlin, (1998), “An Introduction to Stochastic Modellingâ€, Academic Press, London, 978-0-12-684887-8.
[12] Nafeez Umar, S. and Balasiddamuni, P. (2013), “Statistical Inference on Model Specification in Econometricsâ€, LAMBERT Academic Publishing, Germany.
[13] Ramana Murthy .B. et.al (2011), “A modified criterion for model selectionâ€, Proceedings of ICMS -2011, ISBN-978-81-8424-743-5.
[14] Rao .C.R. et.al (2001), “On model selectionâ€, 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 & Technology, 7(4.10), 529-531. https://doi.org/10.14419/ijet.v7i4.10.21219Received date: 2018-10-07
Accepted date: 2018-10-07
Published date: 2018-10-02