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Derivation of Inflection Points of Nonlinear Regression Curves - Implications to Statistics
American Journal of Theoretical and Applied Statistics
Volume 2, Issue 6, November 2013, Pages: 268-272
Received: Dec. 19, 2013; Published: Jan. 10, 2014
Authors
Ayele Taye Goshu, School of Mathematical and Statistical Sciences, Hawassa University, Ethiopia
Purnachandra Rao Koya, School of Mathematical and Statistical Sciences, Hawassa University, Ethiopia
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Abstract
In this paper, we derive inflection points for the commonly known growth curves, namely, generalized logistic, Richards, Von Bertalanffy, Brody, logistic, Gompertz, generalized Weibull, Weibull, Monomolecular and Mitscherlich functions. The functions often represent the mean part of non-linear regression models in Statistics. Inflection point of a growth curve is the point on the curve at which the rate of growth gets maximum value and it represents an important physical interpretation in the respective application area. Not only the model parameters but also the inflection point of a growth curve is of high statistical interests.
Keywords
Inflection Point, Growth Model, Gompertz, Logistic, Richards, Weibull
Ayele Taye Goshu, Purnachandra Rao Koya, Derivation of Inflection Points of Nonlinear Regression Curves - Implications to Statistics, American Journal of Theoretical and Applied Statistics. Vol. 2, No. 6, 2013, pp. 268-272. doi: 10.11648/j.ajtas.20130206.25
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