Normal Half Normal Model for the Incorporation of exogenous factors on Efficiency analysis and its application

Shameena.H. Khan¹ , L.Mary Louis²

1. Department of Mathematics, Avinashilingam Institute for home science and higher education for women, Coimbatore, India.
2. Department of Mathematics, Avinashilingam Institute for home science and higher education for women, Coimbatore, India.

Correspondence should be addressed to: shaminakhan@yahoo.com.

Section:Research Paper, Product Type: Isroset-Journal
Vol.4 , Issue.6 , pp.1-6, Dec-2017

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v4i6.16

Online published on Dec 31, 2017

Copyright © Shameena.H. Khan, L.Mary Louis . 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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Abstract :
Present study focused on the effect of exogenous factors on the efficiency level of a firm. In this paper we have derived a model by assuming normal-half normal distribution for the error terms and .Parameter estimation was done using maximum likelihood estimates. In order to assess the impact of exogenous factors on the efficiencies of a firm the model is applied to a data of 155 maize farmers. Weather, Economic conditions of farmer, Market status and damages to the crop due to bird attack are considered as exogenous factors for the study. Results showed that damages had a significant effect on the efficiency of production output. Goodness of fit test showed that our model is fitted with baseline comparison values. Null hypothesis is rejected. Computational analysis was done using SEM in Stata.

Key-Words / Index Term :
Normal half normal, Exogenous factors, Cost efficiency, Goodness of fit, maximum likelihood estimates, Null hypothesis

References :
[1] D.J.Aigner and SF. Chu, “On estimating the industry production function, American Economic Review”,Vol.58, pp. 826-839,1968.
[2] S.B.Caudill ,J.M. Ford and D.M Gropper, “Frontier estimation and firm-specific inefficiency measures in the presence of heteroscedasticity”, Journal of Business and Economic Statistics,Vol.13,Issue.1,pp.105 – 11,1995.
[3] Kai Sun and Subal C Kumbhakar, “Semiparametric smooth-coefficient stochastic frontier model”, Economic letters,Vol.120,Issue.2,pp. 305-309,2013.
[4] Lukas Meub, Till Proeger and Hendrik Hüning, “A comparison of endogenous and exogenous timing in a social learning experiment”, Centre for European Governance and Economic Development Research, Discussion paper,Number.167,pp.1-26,2013.
[5] D.Reifschneider and R.Stevenson, “Systematic departures from the frontier: A framework for the analysis of firm inefficiency”, International Economic Review,Vol.32,Issue.3,pp.715–23,1991.
[6] Roberto Zotti and Cristian Barra, “How students’ exogenous characteristics affect faculties’ inefficiency, A heteroscedastic stochastic frontier approach”, Munich Personal RePEc Archive Paper No. 54011,pp.1-13,2014.
[7] L.Simar, C.A.K.Lovell and van den Eeckaut, “P.Stochastic frontiers incorporating exogenous influences on efficiency,Institut de Statistique”, Universit´e Catholique de Louvain, Louvain-la-Neuve, Belgium, Discussion Paper No.9403,1994.

[8] Subal C Kumbhakar, Hung-Jen wang and Alan P Horncastle, “A Practitioner’s guide to stochastic frontier analysis using Stata”,Cambridge University Press,ISBN:978-1-107-60946-4,2015.
[9] Wang and Schmidt, “One-Step and Two-Step Estimation of the Effects of Exogenous Variables on Technical Efficiency Levels”, Journal of Productivity Analysis, Vol.18, pp.129–144,2002.
[10] A.C Zoghbi, F.Rocha and E.Mattos, “Education production efficiency: Evidence from Brazilian universities”. Economic Modelling, Vol.31, pp. 94–103,2013.