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1980•Munich Personal RePEc Archive (Ludwig Maximilian University of Munich)Open access

Estimation Theory for the Cusp Catastrophe Model

Loren Cobb

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Abstract

The cusp model of catastrophe theory is very closely related to certain multiparameter exponential families of probability density functions. This relationship is exploited to create an estimation theory for the cusp model. An example is presented in which an independent variable has a bifurcation effect on the dependent variable.

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The cusp model of catastrophe theory is very closely related to certain multiparameter exponential families of probability density functions. This relationship is exploited to create an estimation theory for the cusp model. An example is presented in which an independent variable has a bifurcation effect on the dependent variable.

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Available abstract

The cusp model of catastrophe theory is very closely related to certain multiparameter exponential families of probability density functions. This relationship is exploited to create an estimation theory for the cusp model. An example is presented in which an independent variable has a bifurcation effect on the dependent variable.

Key concepts: Catastrophe theory, Cusp (singularity), Variable (mathematics), Mathematics, Statistical physics, Exponential family, Exponential function, Bifurcation theory

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