Filling and D-optimal Designs for the Correlated Generalized Exponential Model

  1. Rodríguez-Díaz, Juan M. 1
  2. Santos-Martín, Teresa 1
  3. Stehlík, Milan 2
  4. Waldl, Helmut 2
  1. 1 Universidad de Salamanca
    info

    Universidad de Salamanca

    Salamanca, España

    ROR https://ror.org/02f40zc51

  2. 2 Johannes Kepler University of Linz
    info

    Johannes Kepler University of Linz

    Linz, Austria

    ROR https://ror.org/052r2xn60

Llibre:
Contributions to Statistics

ISSN: 1431-1968

ISBN: 9783790824094,  9783790824100

Any de publicació: 2010

Pàgines: 173-180

Tipus: Capítol de llibre

DOI: 10.1007/978-3-7908-2410-0_23 GOOGLE SCHOLAR lock_openAccés obert editor

Resum

The aim of this paper is to provide guidelines for efficient statistical es- timation of the parameters of the modified Arrhenius model for chemical kinetics. We study D-optimal and filling designs for this model, assuming correlated obser- vations and exponential covariance with or without nugget effect. We consider both equidistant and exact designs for small samples, and study the behaviour of different types of filling designs when a greater number of observations is preferred.

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