Premium
Selection of the Transformation Variable in the Laplace Transform Method of Estimation
Author(s) -
Laurence Alexa F.,
Morgan Byron J. T.
Publication year - 1987
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1987.tb00728.x
Subject(s) - laplace transform , equating , variable (mathematics) , transformation (genetics) , laplace transform applied to differential equations , two sided laplace transform , mellin transform , selection (genetic algorithm) , mathematics , mathematical optimization , computer science , algorithm , statistics , fourier transform , mathematical analysis , artificial intelligence , fractional fourier transform , fourier analysis , biochemistry , chemistry , rasch model , gene
Summary The work of this paper is based on the innovative approach of Feigin et al. (1983), who estimate parameters of lifetime distributions by equating empirical and theoretical Laplace transforms. We show that the optimal choice of the transform variable depends critically upon the number of sampling times, the way they are spaced, and how the empirical transform is formed. Two new approaches for choosing the transform variable, viz. using cross‐validation or constrained optimisation, are introduced and shown to have potential for wide‐ranging use.