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Journal of the Operational Research Society, 1994
In this paper, a simple Gompertz curve-fitting procedure is proposed. Its advantages include the facts that the stability of the saturation level over the sample period can be checked, and that no knowledge of its value is necessary for forecasting. An application to forecasting the stock of cars in the Netherlands illustrates its merits.
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In this paper, a simple Gompertz curve-fitting procedure is proposed. Its advantages include the facts that the stability of the saturation level over the sample period can be checked, and that no knowledge of its value is necessary for forecasting. An application to forecasting the stock of cars in the Netherlands illustrates its merits.
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Gompertz in Context: The Gompertz and Related Distributions
2001A model often used in mortality analysis and forecasting is the Gompertz model. The model is attractive because the mathematical specification is consistent with theories of ageing. Other models that are used less often share some of the useful features of the Gompertz model. Furthermore, the Gompertz can be approached as a member of families of models
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Gompertz curves, allometry and embryogenesis
The Bulletin of Mathematical Biophysics, 1970A number of new properties of the Gompertz curve are derived. In particular, the curve is shown to be of particular importance in the theory of biological similitude, because of a direct relation to the allometric law. A discussion is included indicating some of the practical limitations of the theory.
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The extension of Gompertz law's validity
Mechanisms of Ageing and Development, 1997The interval 35-85 years is mostly considered as the range of Gomperz law's validity. Looking at the spectrum of causes of death for the interval 10-30 years we find that its main share is caused by various accidents independent of age. These accidents result in the increase and following plateau of the total mortality curve over the age of 15 years ...
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The biological foundation of the Gompertz model
International Journal of Bio-Medical Computing, 1987The paper examines the biological reasoning of the Gompertz model for tumor growth: the increase and loss rates of the tumor volume are both proportional to the volume itself. The statement is proved mathematically. The theoretical foundation is therefore established, this ensures the application of the Gompertz model as an effective aid for the ...
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Comparison of Entropy Measures for Gompertz and Truncated Gompertz Distribution
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2022Muhammad Ahsan ul Haq, Muhammad Aslam
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Population Studies, 1984
Summary The relational Gompertz function improves upon the Gompertz for fertility analysis by achieving a better fit in the tails of the distribution. This is obtained by a transformation of the age scale corresponding to an empirical standard. This standard is developed from Coale and Trussell's model and is appropriate for use with populations of ...
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Summary The relational Gompertz function improves upon the Gompertz for fertility analysis by achieving a better fit in the tails of the distribution. This is obtained by a transformation of the age scale corresponding to an empirical standard. This standard is developed from Coale and Trussell's model and is appropriate for use with populations of ...
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A Mystery of the Gompertz Function
2006The Gompertz function describes global dynamics of many natural processes including growth of normal and malignant tissues. On one hand, the Gompertz function defines a fractal. The fractal structure of time-space is a prerequisite condition for the coupling and Gompertzian growth. On the other hand, the Gompertz function is a probability function. Its
P. Waliszewski, J. Konarski
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A Cell Kinetics Justification for Gompertz’ Equation
SIAM Journal on Applied Mathematics, 1986On the basis of the maturity-time model of \textit{S. I. Rubinow} [Maturity- time representation for cell populations. Biophys. J. 8, 1055-1073 (1968)] which describes the cell densities of a growing cell population for the first few generation times in a good agreement to measurements, in this paper cell kinetic models for the growth of cell ...
Frenzen, C. L., Murray, J. D.
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Chebyshev approximation by Gompertz function
Matematychni Metody Ta Fizyko-Mekhanichni Polya, 2022P. S. Malachivskyy +2 more
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