M. CACCIARI, G. MAZZANTI, G.C. MONTANARI, "Comparison of maximum likelihood unbiasing methods for the estimation of the Weibull parameters", IEEE Transactions on Dielectrics and Electrical Insulation, Feb. 1996, Vol. 3, Issue 1, pp. 18-27.

M. CACCIARI, G. MAZZANTI, G.C. MONTANARI, "Comparison of maximum likelihood unbiasing methods for the estimation of the Weibull parameters", IEEE Transactions on Dielectrics and Electrical Insulation, Feb. 1996, Vol. 3, Issue 1, pp. 18-27. Copyright - [Précédente] [Première page] [Suivante] - Home

Article : [PAP295]

Titre : M. CACCIARI, G. MAZZANTI, G.C. MONTANARI, Comparison of maximum likelihood unbiasing methods for the estimation of the Weibull parameters, IEEE Transactions on Dielectrics and Electrical Insulation, Feb. 1996, Vol. 3, Issue 1, pp. 18-27.
Auteur : Cacciari, M.
Auteur : Mazzanti, G.
Auteur : Montanari, G.C - Dipartimento di Elettrotecnica Elettronica ed Inf., Trieste Univ., Italy

Stockage : Thierry LEQUEU
Lien : private/CACCIARI3.pdf - 10 pages, 877 Ko.
Source : Dielectrics and Electrical Insulation, IEEE Transactions on [see also Electrical Insulation, IEEE Transactions on]
Pages : 18 - 27
Date : Feb. 1996
Volume : 3
Issue : 1
ISSN : 1070-9878
References : 21
CODEN : ITDIES
Accession_Number : 5227067

Abstract :
The technique of unbiasing the maximum likelihood estimates of
the scale and shape parameters of the Weibull function is
discussed. The efficiency of recent and traditional unbiasing
estimators is critically compared. In particular, the
Bain-Engelhardt, Harter & Moore and Ross unbiasing methods are
considered, together with the Jacquelin estimators. The behavior
of these estimators and unbiasing factors is investigated as
function of the sample size and the value of the shape parameter.
It is shown that some procedures are actually not unbiasing at
all but, depending on the value of the shape parameter and the
sample size, can even make the ML estimates worse. The unbiasing
factors proposed by Ross and Harter and Moore seem the most
effective for the shape and scale parameters, respectively. When
using the unbiasing factors on the point estimates, rather than
on the expected values, it is found that these methods tend to
lose their accuracy in some cases.

Subject_terms :
maximum likelihood estimation; Weibull distribution; electric
breakdown; insulation testing; life testing; maximum likelihood
unbiasing methods; Weibull parameters; shape parameters; scale
parameters; unbiasing estimators; Bain-Engelhardt unbiasing
method; Harter & Moore unbiasing method; Ross unbiasing method;
Jacquelin estimators; sample size; point estimates; electric
breakdown; insulating materials

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