Original scientific paper
On nonlinear weighted least squares fitting of the three-parameter inverse Weibull distribution
Dragan Jukić
; Department of Mathematics, University of Osijek, Osijek, Croatia
Darija Marković
; Department of Mathematics, University of Osijek, Osijek, Croatia
Abstract
In this paper we consider nonlinear least squares fitting of the three-parameter inverse Weibull distribution to the given data $(w_i,t_i,y_i)$, $i=1,\ldots,n$, $n\geq 3$.
As the main result, we show that the least squares estimate exists provided that the data satisfy just the following two natural conditions:
(i) $0
To this end, an illustrative numerical example is given.
Keywords
three-parameter inverse Weibull distribution; data fitting; nonlinear least squares; least squares estimate; existence problem
Hrčak ID:
53145
URI
Publication date:
10.6.2010.
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