Possible regression models for the municipal finances of the municipal corporations of various Indian states II
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A. Sathyavathi1, Lalit Mohan Upadhyaya2,† and Sudhanshu Aggarwal3
Bull. Pure Appl. Sci. Sect. E Math. Stat.
42E(2), 143–179 (2023)
e-ISSN:2320-3226, Print ISSN:0970-6577
DOI 10.48165/bpas.2023.42E.2.5
Description
Description
A. Sathyavathi1, Lalit Mohan Upadhyaya2,† and Sudhanshu Aggarwal3
1. Department of Commerce, Government First Grade College,
Jayanagar, Bangalore, Karnataka-560070, India.
2. Department of Mathematics, Municipal Post Graduate College,
Mussoorie, Dehradun, Uttarakhand -248179, India.
3. Department of Mathematics, National Post Graduate College,
Barhalganj, Gorakhpur, Uttar Pradesh-273402, India.
1. E-mail: sathyashivram@yahoo.com , wannalive19@gmail.com
2. E-mail: lmupadhyaya@rediffmail.com , hetchres@gmail.com
3. E-mail: sudhanshu30187@gmail.com
∗ Communicated, edited and typeset in Latex by Jyotindra C. Prajapati (Editor).
Received March 24, 2023 / Revised November 26, 2023 / Accepted November 30, 2023. Online First
Published on December 25, 2023 at https://www.bpasjournals.com/.
† Corresponding author Lalit Mohan Upadhyaya, E-mail: lmupadhyaya@rediffmail.com,
hetchres@gmail.com
Abstract
In continuation of the ongoing long term research work of the first author on the detailed mathematical and statistical analysis of the budget of the Bangalore Municipal Corporation (see, A. Sathyavathi https://ssrn.com/abstract=4403863, https://
ssrn.com/abstract=4461494, https://ssrn.com/abstract=4518454 and https://ssrn. com/abstract=4568499), we carry ahead our previous study (A. Sathyavathi and L. M. Upadhyaya, Possible regression models for the municipal finances of the municipal corporations
of various Indian states, Bull. Pure Appl. Sci. Sect. E Math. Stat. 42E(1), 72–93 (2023))to propose some possible regression models to account for the observed trends of the revenue receipts and the revenue expenditures of the municipal corporations of the various Indian States including the Union Territory of Chandigarh for the 2018-19 Budget
Estimates, which pertains to the data of finances of municipal corporations of the various Indian States during the financial year 2018-2019. We also present the comparisons of our different models for each of the categories of our present explorations. The entire data used by us in this study is gratefully taken by us from the Report on Municipal Finances which was published by the Reserve Bank of India recently on
10 November, 2022 (see, https://m.rbi.org.in/scripts/AnnualPublications.aspx?
head=Report%20on%20Municipal%20Finances,https://rbidocs.rbi.org.in/rdocs/Publications/ PDFs/RMF101120223A34C4F7023A4A9E99CB7F7FEF6881D0.PDF). We find that a Polynomial Degree 4 model best describes the financial data and in addition we also give a Rational Model and an Exponential Association 2 model for describing the trend of finances for the municipal corporations of India during the year 2018-19 in the Budget
Estimates category and we also present our computational results of the Polynomial Degree 4 Model and the Rational Model using MATLAB.
Key words Municipal finances, Urban Local Bodies, municipal corporations, revenue receipts, revenue expenditures, nonlinear regression, Rational Model, Exponential Association
2 model, Akaike Information Criterion, F-test.
2020 Mathematics Subject Classification 62J02, 62J05, 62J10, 62J99, 62P05, 62P20, 91B62, 91B74, 91B99, 91G70, 91G99.
JEL Classification C02, C12, C19, C21, C25, C29, C31, C35, C39, C49, C58, C59, C60, C63, C65, C69, C80, C83, C87, C88.
