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Stochastic Data Envelopment Analysis in Copula Framework with Applications to Financial Entities

Implementing Organization

Indian Institute of Technology (IIT)
Principal Investigator
Prof. Aparna Mehra
Department Of Physics, Indian Institute of Technology (IIT) Delhi

Project Overview

This project aims to develop novel models for stochastic data envelopment analysis (SDEA) involving random inputs and outputs data variables for the decision-making units (DMUs). Unlike the conventional data envelopment analysis (DEA), where the entire data is deterministic, the SDEA incorporates random noise or errors in reference technology, resulting in stochastic optimization models. One needs to model dependency among the stochastic variables. One such tool for doing so is through the copula theory. In this project, we aim to formulate new models for both the SDEA and InvSDEA set up in different underlying architecture (like network multi-stage DEA) and possess various features like undesirable outputs or inputs. We want to validate the proposed models by carrying their performance analysis on datasets from financial entities, especially banks, NBFC, or life insurance. We believe that our studies will unveil a holistic presentation in the performance evaluation of entities possessing data uncertainty represented by stochastic variables.
Funding Organization
Funding Organization
Science and Engineering Research Board (SERB), New Delhi
Anusandhan National Research Foundation (ANRF)
Quick Information
Area of Research
Mathematical Sciences
Start Year
2023
End Year
2026
Sanction Amount
₹ 6.60 L
Status
Ongoing
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
N/A
Startup (If Any)
00
No. of Patents
Filed :01
Grant :00
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