Comparing Some Estimate Methods in a Gompertz-Lognormal Diffusion Process

  • Nuria Rico
  • Desiree Romero
  • Maribel G. Arenas
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8111)

Abstract

This paper compares four different methods to obtain maximum likelihood estimates of the parameters of a Gompertz-lognormal diffusion process, where no analytical solution for the likelihood equations exists. A recursive method, a Newton-Raphson algorithm, a Simulated Annealing algorithm and an Evolutionary Algorithm to obtain estimates are proposed. The four methods are compared using a simulated data set. The results are compared with simulated paths of the process in terms of several error measurements.

Keywords

Maximum likelihood estimate optimization algorithm 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Nuria Rico
    • 1
  • Desiree Romero
    • 1
  • Maribel G. Arenas
    • 1
  1. 1.Universidad de GranadaSpain

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