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Title: Parametric and Non parametric Models to Measure Cost Efficiency Scores
Researcher: Shameena.H.Khan
Guide(s): Mary Louis L
Keywords: Physical Sciences
Statistics and Probability
University: Avinashilingam Deemed University For Women
Completed Date: 19.08.2020
Abstract: The purpose of the study is to estimate the cost efficiency using Parametric (Stochastic Cost Frontier) and Non Parametric (Data Envelopment Analysis) mathematical models. Under Stochastic Cost Frontier Models (SCFM), six parametric models-Normal Half normal, Normal- Exponential, Normal-Gamma Cost frontier Models (NHNSCF, NESCFM and NGSCFM) and NHN, NE and NG exogenous models are analytically derived .To have a comparative study with nonparametric models, Data Envelopment Analysis (DEA) with Constant Return to Scale (CRS) is considered. In order to estimate the inefficiency due to the over usage of inputs, an input oriented technical inefficiency model is also derived in this study. As an application to the derived models a case study has been considered from agricultural sector. A primary data for the crop year 2016-2017 was collected from 256 maize farmers of Coimbatore district in Tamil Nadu, India. The mean cost efficiency of the SCF and DEA models are 0.83, 0.77, 0.75 and 0.36 respectively. This means that, 0.17, 0.23, 0.25 and 0.64 of the farmers in the study area were cost inefficient. Under exogenous models NHN model had the least AIC and BIC value .The result showed that Normal Half normal model is more plausible than other models. Among the five independent variables, labour was the significant factor for the cost inefficiency in the study area. Under socio economic variables, education and training programme of the farmers played a significant role. Exogenous factors, weather and damage to the crop due to birds, rats or termites had affected the production in the study area. newlinei) Major objectives : newlineThough the major objective of the study is to derive mathematical models for exogenous and endogenous factors effect on Cost Efficiency (CE) , the proposed research study is centered on fulfilling the following objectives: newlineand#61656; To evaluate a suitable functional form of cost frontier and to model the structure of the cost of production in the farms
Pagination: 204 p.
Appears in Departments:Department of Mathematics

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01_title.pdfAttached File111.37 kBAdobe PDFView/Open
02_certificate.pdf246.71 kBAdobe PDFView/Open
03_acknowledgement.pdf10.39 kBAdobe PDFView/Open
04_declaration.pdf215.71 kBAdobe PDFView/Open
05_contents.pdf128.66 kBAdobe PDFView/Open
06_list of tables ,figures and abbreviations.docx.pdf290.87 kBAdobe PDFView/Open
07_chapter 1.pdf2.73 MBAdobe PDFView/Open
08_chapter 2.pdf2.85 MBAdobe PDFView/Open
09_chapter 3.pdf27.48 MBAdobe PDFView/Open
10_chapter 4.pdf1.26 MBAdobe PDFView/Open
11_chapter 5.pdf651.43 kBAdobe PDFView/Open
12_references.pdf824.79 kBAdobe PDFView/Open
13_publication.pdf304.45 kBAdobe PDFView/Open
80_recommendation.pdf651.43 kBAdobe PDFView/Open

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