Gompertz: A Scilab Program for Estimating Gompertz Curve Using Gauss-Newton Method of Least Squares

A computer program for estimating Gompertz curve using Gauss-Newton method of least squares is described in detail. It is based on the estimation technique proposed in Reddy (1985). The program is developed using Scilab (version 3.1.1), a freely available scientific software package that can be down...

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Main Author: Surajit Ghosh Dastidar
Format: Article
Language:English
Published: Foundation for Open Access Statistics 2006-04-01
Series:Journal of Statistical Software
Online Access:http://www.jstatsoft.org/index.php/jss/article/view/1487
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author Surajit Ghosh Dastidar
author_facet Surajit Ghosh Dastidar
author_sort Surajit Ghosh Dastidar
collection DOAJ
description A computer program for estimating Gompertz curve using Gauss-Newton method of least squares is described in detail. It is based on the estimation technique proposed in Reddy (1985). The program is developed using Scilab (version 3.1.1), a freely available scientific software package that can be downloaded from http://www.scilab.org/. Data is to be fed into the program from an external disk file which should be in Microsoft Excel format. The output will contain sample size, tolerance limit, a list of initial as well as the final estimate of the parameters, standard errors, value of Gauss-Normal equations namely GN1 GN2 and GN3, No. of iterations, variance(σ2), Durbin-Watson statistic, goodness of fit measures such as R2, D value, covariance matrix and residuals. It also displays a graphical output of the estimated curve vis a vis the observed curve. It is an improved version of the program proposed in Dastidar (2005).
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spelling doaj.art-66a7d261d7ae49d0bf219a00758398ee2022-12-21T19:10:27ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602006-04-0115111210.18637/jss.v015.i1291Gompertz: A Scilab Program for Estimating Gompertz Curve Using Gauss-Newton Method of Least SquaresSurajit Ghosh DastidarA computer program for estimating Gompertz curve using Gauss-Newton method of least squares is described in detail. It is based on the estimation technique proposed in Reddy (1985). The program is developed using Scilab (version 3.1.1), a freely available scientific software package that can be downloaded from http://www.scilab.org/. Data is to be fed into the program from an external disk file which should be in Microsoft Excel format. The output will contain sample size, tolerance limit, a list of initial as well as the final estimate of the parameters, standard errors, value of Gauss-Normal equations namely GN1 GN2 and GN3, No. of iterations, variance(σ2), Durbin-Watson statistic, goodness of fit measures such as R2, D value, covariance matrix and residuals. It also displays a graphical output of the estimated curve vis a vis the observed curve. It is an improved version of the program proposed in Dastidar (2005).http://www.jstatsoft.org/index.php/jss/article/view/1487
spellingShingle Surajit Ghosh Dastidar
Gompertz: A Scilab Program for Estimating Gompertz Curve Using Gauss-Newton Method of Least Squares
Journal of Statistical Software
title Gompertz: A Scilab Program for Estimating Gompertz Curve Using Gauss-Newton Method of Least Squares
title_full Gompertz: A Scilab Program for Estimating Gompertz Curve Using Gauss-Newton Method of Least Squares
title_fullStr Gompertz: A Scilab Program for Estimating Gompertz Curve Using Gauss-Newton Method of Least Squares
title_full_unstemmed Gompertz: A Scilab Program for Estimating Gompertz Curve Using Gauss-Newton Method of Least Squares
title_short Gompertz: A Scilab Program for Estimating Gompertz Curve Using Gauss-Newton Method of Least Squares
title_sort gompertz a scilab program for estimating gompertz curve using gauss newton method of least squares
url http://www.jstatsoft.org/index.php/jss/article/view/1487
work_keys_str_mv AT surajitghoshdastidar gompertzascilabprogramforestimatinggompertzcurveusinggaussnewtonmethodofleastsquares