Statistical Tolerance Analysis and Fitting of Some Continuous Probability Distributions to the General Administration Management Component of the Capital Expenditure of the Bangalore Municipal Corporation

Abstract

We discuss the results of the statistical tolerance test of the General Administration Management component of the Capital Expenditure of the Bangalore Municipal Corporation which carries ahead our two previous connected studies (A. Sathyavathi (2023(a)), Analysis of the General Administration Management Expenditure of the Bangalore Municipal Corporation (https://www.ssrn.com/abstract=4403863 ; http://dx.doi.org/10.2139/ssrn.4403863); A. Sathyavathi (2023(b)), Outlier Identification Analysis of the General Administration Management Component of the Capital Expenditure of the Bangalore Municipal Corporation (https://ssrn.com/abstract=4461494 ; http://dx.doi.org/10.2139/ssrn.4461494 ) and we also fit four continuous probability distributions, viz., the Beta (4-Parameter) Distribution, the Largest Extreme Value Distribution, the Logistic Distribution and the Folded Normal Distribution to the sample under study treating it as an uncensored data. In order to visualize the sample under study from different perspectives we also present a number of different graphical representations of this sample which include the violin plot, the scatter plot, the time sequence plot, the polar plot, the diamond plot, the radar/spider plot, the heat map and the ordered waterfall plot which we hope will add a new dimension to the financial analysis research studies of the corporate organizations, and the governmental and non-governmental organizations.

Keywords: General Administration Management Expenditure, Capital Expenditure, Urban Local Body, BBMP, Statistical Tolerance, Continuous Probability Distributions, Beta (4-Parameter) Distribution, Largest Extreme Value Distribution, Logistic Distribution, Folded Normal Distribution, Violin Plot, Polar Plot.

JEL Classification: C02, C12, C19, C21, C25, C29, C31, C35, C39, C49, C58, C59, C60, C63, C65, C69, C80, C83, C87, C88