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Published in: Soft Computing 4/2020

02-11-2018 | Focus

Uncertain Gompertz regression model with imprecise observations

Authors: Zeyu Hu, Jinwu Gao

Published in: Soft Computing | Issue 4/2020

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Abstract

Regression is widely applied in many fields. Regardless of the types of regression, we often assume that the observations are precise. However, in real-life circumstances, this assumption can only be met sometimes, which means the traditional regression methods can result in significant imprecise or biased predictions. Consequently, uncertain regression models might provide more accurate and meaningful results under these circumstances. In this article, we provide the residual analysis of uncertain Gompertz regression model, as well as the corresponding forecast value and confidence interval. Finally, we give a numerical example of uncertain Gompertz regression model.

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Literature
go back to reference Corral N, Gil MA (1984) The minimum inaccuracy fuzzy estimation: an extension of the maximum likelihood principle. Stochastica 8:63–81MathSciNetMATH Corral N, Gil MA (1984) The minimum inaccuracy fuzzy estimation: an extension of the maximum likelihood principle. Stochastica 8:63–81MathSciNetMATH
go back to reference Fisher RA (1925) Statistical methods for research workers. Oliver and Boyd, EdinburghMATH Fisher RA (1925) Statistical methods for research workers. Oliver and Boyd, EdinburghMATH
go back to reference Galton F (1885) Regression towards mediocrity in hereditary stature. J Anthropol Inst 15:246–263 Galton F (1885) Regression towards mediocrity in hereditary stature. J Anthropol Inst 15:246–263
go back to reference Gompertz B (1825) On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philos Trans B 115:513585 Gompertz B (1825) On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philos Trans B 115:513585
go back to reference Legendre AM (1805) New methods for the determination of the orbits of comets. Firmin Didot, Paris Legendre AM (1805) New methods for the determination of the orbits of comets. Firmin Didot, Paris
go back to reference Lio W, Liu B (2018) Residual and confidence interval for uncertain regression model with imprecise observations. J Intell Fuzzy Syst 35:2573–83CrossRef Lio W, Liu B (2018) Residual and confidence interval for uncertain regression model with imprecise observations. J Intell Fuzzy Syst 35:2573–83CrossRef
go back to reference Liu B (2009) Some research problems in uncertainty theory. J Uncertain Syst 3:3–10 Liu B (2009) Some research problems in uncertainty theory. J Uncertain Syst 3:3–10
go back to reference Liu B (2010) Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer, BerlinCrossRef Liu B (2010) Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer, BerlinCrossRef
go back to reference Liu B (2012) Why is there a need for uncertainty theory. J Uncertain Syst 6:3–10 Liu B (2012) Why is there a need for uncertainty theory. J Uncertain Syst 6:3–10
go back to reference Neyman J, Pearson ES (1933) On the problem of the most efficient tests of statistical hypotheses. Philos Trans R Soc A Math Phys Eng Sci 231:289–337MATH Neyman J, Pearson ES (1933) On the problem of the most efficient tests of statistical hypotheses. Philos Trans R Soc A Math Phys Eng Sci 231:289–337MATH
go back to reference Nguimkeu P (2014) A simple selection test between the Gompertz and logistic growth models. Technol Forecast Soc Change 88:98–105CrossRef Nguimkeu P (2014) A simple selection test between the Gompertz and logistic growth models. Technol Forecast Soc Change 88:98–105CrossRef
go back to reference Tanaka H, Uejima S, Asai K (1982) Linear regression analysis with fuzzy model. IEEE Trans Syst Man Cybern 12:903–907CrossRef Tanaka H, Uejima S, Asai K (1982) Linear regression analysis with fuzzy model. IEEE Trans Syst Man Cybern 12:903–907CrossRef
go back to reference Wilks SS (1938) The large-sample distribution of the likelihood ratio for testing composite hypotheses. Ann Math Stat 9:60–62CrossRef Wilks SS (1938) The large-sample distribution of the likelihood ratio for testing composite hypotheses. Ann Math Stat 9:60–62CrossRef
go back to reference Yang X, Liu B (2017) Uncertain time series analysis with imprecise observations. Fuzzy Optim Decis Mak (in press) Yang X, Liu B (2017) Uncertain time series analysis with imprecise observations. Fuzzy Optim Decis Mak (in press)
go back to reference Yao K, Liu B (2018) Uncertain regression analysis: an approach for imprecise observations. Soft Comput 22:557982 Yao K, Liu B (2018) Uncertain regression analysis: an approach for imprecise observations. Soft Comput 22:557982
go back to reference Zwietering MH, Jongenburger I, Rombouts FM, VanT Rie TK (1990) Modeling of the bacterial growth curve. Appl Environ Micriobiol 56:197581 Zwietering MH, Jongenburger I, Rombouts FM, VanT Rie TK (1990) Modeling of the bacterial growth curve. Appl Environ Micriobiol 56:197581
Metadata
Title
Uncertain Gompertz regression model with imprecise observations
Authors
Zeyu Hu
Jinwu Gao
Publication date
02-11-2018
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 4/2020
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3611-1

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