Article : [PAP292]

Titre : M. CACCIARI, G.C. MONTANARI, Discussion, with reply, on 'Estimating the cumulative probability of failure data points to be plotted on Weibull and other probability paper' , 1991.

Cité dans :[PAP285]

Stockage : Thierry LEQUEU
Lien : private/CACCIARI2.pdf - 6 pages, 344 Ko.
Lien : PAP285.HTM#Bibliographie - référence [5].
Source : Electrical Insulation, IEEE Transactions on [see also Dielectrics and Electrical Insulation, IEEE Transactions on]
Pages : 1224 - 1229
Date : Dec. 1991
Volume : 26
Issue : 6
ISSN : 0018-9367
References : 12
CODEN : IETIAX
Accession_Number : 4108702

Abstract :
It is pointed out that the Bernard estimator is very accurate,
with respect to other median or mean approximated ranks,
confirming results presented by J.C. Fothergill in the
above-titled paper (see ibid., vol.25, p.489-92, 1990). However,
it is argued that the weighted Blom seems the most accurate
estimator, among graphical ones, for normally sized samples and a
reliable one for small sample sizes, although the Bernard and
Filliben estimators are better than Weibull and Blom for small
sample sizes. Statistical and graphical estimators are compared
by plotting the percent deviations of the values of the Weibull
parameters alpha and beta (scale and shape parameters,
respectively) estimated by weighted Blom, Bernard, Weibull,
maximum likelihood estimation (MLE), and Bain-Engelhardt (BE),
with respect to the true values, as well as the estimates
obtained by MLE and BE, as functions of the sample size. In
replying, Fothergill states that for small sample sizes, the
advantages of more sophisticated techniques do not seem
warranted.

Subject_terms :
Bain Engelhardt estimation; Weibull estimator; statistical
estimators; cumulative probability; failure data points; Bernard
estimator; weighted Blom; Filliben estimators; sample sizes;
graphical estimators; Weibull parameters; maximum likelihood
estimation; ageing; estimation theory; failure analysis;
probability; reliability theory; statistical analysis

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