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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


Puni tekst: engleski pdf 250 Kb

str. 13-24

preuzimanja: 1.688

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Sažetak

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.

Ključne riječi

three-parameter inverse Weibull distribution; data fitting; nonlinear least squares; least squares estimate; existence problem

Hrčak ID:

53145

URI

https://hrcak.srce.hr/53145

Datum izdavanja:

10.6.2010.

Posjeta: 2.494 *