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Generalized Maximum Entropy Estimation; Application to Seed Rice Data in Sierra Leone
R.M. Bangura1 , A.R Fofie2 , M.Y. Turay3 , E.G. Kamara4
Section:Research Paper, Product Type: Journal-Paper
Vol.7 ,
Issue.6 , pp.6-11, Dec-2020
Online published on Dec 31, 2020
Copyright © R.M. Bangura, A.R Fofie, M.Y. Turay, E.G. Kamara . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: R.M. Bangura, A.R Fofie, M.Y. Turay, E.G. Kamara, “Generalized Maximum Entropy Estimation; Application to Seed Rice Data in Sierra Leone,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.6, pp.6-11, 2020.
MLA Style Citation: R.M. Bangura, A.R Fofie, M.Y. Turay, E.G. Kamara "Generalized Maximum Entropy Estimation; Application to Seed Rice Data in Sierra Leone." International Journal of Scientific Research in Mathematical and Statistical Sciences 7.6 (2020): 6-11.
APA Style Citation: R.M. Bangura, A.R Fofie, M.Y. Turay, E.G. Kamara, (2020). Generalized Maximum Entropy Estimation; Application to Seed Rice Data in Sierra Leone. International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(6), 6-11.
BibTex Style Citation:
@article{Bangura_2020,
author = {R.M. Bangura, A.R Fofie, M.Y. Turay, E.G. Kamara},
title = {Generalized Maximum Entropy Estimation; Application to Seed Rice Data in Sierra Leone},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2020},
volume = {7},
Issue = {6},
month = {12},
year = {2020},
issn = {2347-2693},
pages = {6-11},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2209},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2209
TI - Generalized Maximum Entropy Estimation; Application to Seed Rice Data in Sierra Leone
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - R.M. Bangura, A.R Fofie, M.Y. Turay, E.G. Kamara
PY - 2020
DA - 2020/12/31
PB - IJCSE, Indore, INDIA
SP - 6-11
IS - 6
VL - 7
SN - 2347-2693
ER -
Abstract :
The maximum entropy method supports the subjective point of view with regards to probability, when drawing conclusions is plausible for incomplete information. The study of maximum entropy is of vital, when probabilities are given and we may want to measure the level of uncertainty of its outcome. Since matrix X is posed with problem of multicillinearity, we present an application of generalized maximum entropy procedure to seed rice data in Sierra Leone. We determined the estimation of three parameters based on generalized maximum entropy method and also provided a diagnostic fit for collinearity to obtain eigenvalues with their proportional variations. Analysis of variance is also presented to test the level of significance based on the GME procedure. With insufficient data, we also identified outliers with their corresponding observation points in the studentized residuals. Again, from the regression residual, a model was obtained, which shows the relationship between the regressors and the explained variable.
Key-Words / Index Term :
Generalized maximum entropy, Multicollinearity, Outliers, Residuals
References :
[1] F Akdeniz., A Çabuk. & H Güler,. “Generalized Maximum Entropy Estimators: Applications to the Portland Cement Dataset”, Open Statistics and Probability Journal, Vol. 3, pp.13-20, 2011.
[2] D. A.Belsley, “Conditioning Diagnostics Collinearity and Weak Data in Regression”, John Wiley , New York, 1991.
[3] I. Fraser, “An Application of Maximum Entropy Estimation: The Demand for Meat in the United Kingdom”, App. Econ., Vol. 32, pp.45-59, 2000.
[4] A Golan, G Judge. and D Miller, “Maximum Entropy Econometrics: Robust estimation with limited data”, John Wiley & Sons, 1996.
[5] E. T Jaynes,. “Information Theory and Statistical Mechanics”, Physics Review, Vol. 106, pp.620-630, 1957.
[6] C. Jin “A Piecewise Maximum Entropy Method for Invariant Measures of Random Maps with Position-Dependent Probabilities”, International Journal of Bifurcation and Chaos, pp.1850154-1- 1850154-9, 2011.
[7] H. K Mishra, “Estimation under Multicollinearity Application of Restricted Liu and Maximum Entropy Estimators to the Portland Cement Dataset”, MPRA Paper 1809, University Library of Munich, Germany, 2004.
[8] R. Nisa, M.A.K. Baig, “Properties of New Parametric Generalized Entropy of Order Statistics, International Journal of Scientific Reseaerch in Mathematical and Statistical Sciences, Vol. 5, Issue-5, pp.82-87, 2018.
[9] F Pukelsheim, “The three Sigma Rule. American Statistician”, Vol. 48, pp.88-91, 1994.
[10] O.K. Sajana,T.A. Sajesh, “Empircal Robust Multivariate Regression Parametric Using Median Approach”,International Journal of Scientific Reseaerch in Mathematical and Statistical Sciences, Vol. 5, Issue-5, pp.65-71, 2018.
[11] C. E Shannon,. “A Mathematical Theory of Communication”, Bell. Syst. Tech. J., Vol. 27, pp. 379-423, 1948.
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