Open AccessFITTING OF NEGATIVE BINOMIAL DISTRIBUTION BY USING RECURRENCE RELATION METHOD BETWEEN RAINFALL AND GROUND WATER LEVELS – A CASE STUDY
Author(s) -
Raju Sake
Publication year - 2021
Publication title -
paripex indian journal of research
Language(s) - English
DOI - 10.36106/paripex/7606324
Subject(s) - statistics , negative binomial distribution , mathematics , binomial distribution , distribution (mathematics) , rss , residual , ordinary least squares , computer science , poisson distribution , algorithm , mathematical analysis , operating system
Present paper deals with the application of Distribution Theory to analyze and predict Rainfall (RF) and Ground WaterLevels (GWLs) in Anantapuramu district based on the data collected from January 2007 to December 2016. Through withNegative Binomial Distribution by using Recurrence Relation Method for the purpose of analysis the district is dividedinto five zones. We have estimated the Negative Binomial Distribution by using Recurrence Relation values andcompared among them by using the data. Further, validation of the fitted distribution identified the best suitable zonethat is Residual Sum of Squares (RSS) value of the zone and forecast on the Rainfall and Ground Water Levels of thisdistrict. We also calculate Critical Difference (C.D) test and conclusions are drawn based on the results obtained.