Skip to main content
Top

2021 | OriginalPaper | Chapter

Logistic Regression for Prospectivity Modeling

Authors : Samuel Kost, Oliver Rheinbach, Helmut Schaeben

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2019

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Regression models are often employed in prospectivity modeling for the targeting of resources. Logistic regression has a well understood statistical foundation and uses an explicit model from which knowledge can be gained about the underlying phenomenon. In this paper, a model selection procedure based on logistic regression enhanced with nonlinearities is proposed. The method is designed to help the researcher in the model building process and can also be used as preprocessing step for other machine learning algorithms such as neural networks.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference W.W. Hauck Jr. and A. Donner. Wald’s test as applied to hypotheses in logit analysis. Journal of the American Statistical Association, 72:851–853, 1977.MathSciNetMATH W.W. Hauck Jr. and A. Donner. Wald’s test as applied to hypotheses in logit analysis. Journal of the American Statistical Association, 72:851–853, 1977.MathSciNetMATH
2.
go back to reference D.W. Hosmer, S. Lemeshow, and R.X. Sturdivant. Applied Logistic Regression. Wiley Series in Probability and Statistics, 3rd edition, 2013. D.W. Hosmer, S. Lemeshow, and R.X. Sturdivant. Applied Logistic Regression. Wiley Series in Probability and Statistics, 3rd edition, 2013.
3.
go back to reference G. King and Z. Langche. Logistic regression in rare events data. Political Analysis, 9:137–163, 2001.CrossRef G. King and Z. Langche. Logistic regression in rare events data. Political Analysis, 9:137–163, 2001.CrossRef
4.
go back to reference G. King and M.E. Roberts. How robust standard errors expose methodological problems they do not fix, and what to do about it. Political Analysis, 23:159–179, 2014.CrossRef G. King and M.E. Roberts. How robust standard errors expose methodological problems they do not fix, and what to do about it. Political Analysis, 23:159–179, 2014.CrossRef
6.
go back to reference P. Komarek and A. Moore. Making logistic regression a core data mining tool: A practical investigation of accuracy, speed, and simplicity. Technical Report CMU-RI-TR-05-27, Carnegie Mellon University, 2005. P. Komarek and A. Moore. Making logistic regression a core data mining tool: A practical investigation of accuracy, speed, and simplicity. Technical Report CMU-RI-TR-05-27, Carnegie Mellon University, 2005.
7.
go back to reference C-J. Lin, R.C. Weng, and S.S. Keerthi. Trust region newton method for large-scale logistic regression. Journal of Machine Learning Research, 9:627–650, 2008.MathSciNetMATH C-J. Lin, R.C. Weng, and S.S. Keerthi. Trust region newton method for large-scale logistic regression. Journal of Machine Learning Research, 9:627–650, 2008.MathSciNetMATH
8.
go back to reference M. Lin, H.C. Lucas, and G. Shmueli. Too big to fail: Large samples and the p-value problem. Information Systems Research, 24:906–917, 2013.CrossRef M. Lin, H.C. Lucas, and G. Shmueli. Too big to fail: Large samples and the p-value problem. Information Systems Research, 24:906–917, 2013.CrossRef
9.
go back to reference R. Malouf. A comparison of algorithms for maximum entropy parameter estimation. In Proc. of the Sixth Conf. on Natural Language Learning, volume 20, pages 49–55, 2002. R. Malouf. A comparison of algorithms for maximum entropy parameter estimation. In Proc. of the Sixth Conf. on Natural Language Learning, volume 20, pages 49–55, 2002.
10.
go back to reference C.F. Manski and S.R. Lerman. The estimation of choice probabilities from choice based samples. Econometrica, 45:1977–1988, 1977.MathSciNetCrossRef C.F. Manski and S.R. Lerman. The estimation of choice probabilities from choice based samples. Econometrica, 45:1977–1988, 1977.MathSciNetCrossRef
13.
go back to reference H. Schaeben. A mathematical view of weights-of-evidence, conditional independence, and logistic regression in terms of Markov random fields. Math. Geosci., 46:691–709, 2014.MathSciNetCrossRef H. Schaeben. A mathematical view of weights-of-evidence, conditional independence, and logistic regression in terms of Markov random fields. Math. Geosci., 46:691–709, 2014.MathSciNetCrossRef
14.
go back to reference H. Schaeben. Testing joint conditional independence of categorical random variables with a standard log-likelihood ratio test. In Handbook of Mathematical Geoscience, chapter 3. SpringerLink, 2018. H. Schaeben. Testing joint conditional independence of categorical random variables with a standard log-likelihood ratio test. In Handbook of Mathematical Geoscience, chapter 3. SpringerLink, 2018.
15.
go back to reference H. Schaeben, S. Kost, and G. Semmler. Popular raster-based methods of prospectivity modeling and their relationships. Math. Geosci., pages 1–27, 2019. H. Schaeben, S. Kost, and G. Semmler. Popular raster-based methods of prospectivity modeling and their relationships. Math. Geosci., pages 1–27, 2019.
16.
go back to reference H. Withe. A heteroskedasticitsy-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48:817–838, 1980.MathSciNetCrossRef H. Withe. A heteroskedasticitsy-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48:817–838, 1980.MathSciNetCrossRef
Metadata
Title
Logistic Regression for Prospectivity Modeling
Authors
Samuel Kost
Oliver Rheinbach
Helmut Schaeben
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-55874-1_81

Premium Partner