On nonlinear weighted total least squares parameter estimation problem for the three-parameter Weibull density
نویسندگان
چکیده
منابع مشابه
Least squares fitting the three - parameter inverse Weibull density ∗
The inverse Weibull model was developed by Erto [10]. In practice, the unknown parameters of the appropriate inverse Weibull density are not known and must be estimated from a random sample. Estimation of its parameters has been approached in the literature by various techniques, because a standard maximum likelihood estimate does not exist. To estimate the unknown parameters of the three-param...
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In this paper we consider nonlinear least squares fitting of the three-parameter inverse Weibull distribution to the given data (wi, ti, yi), i = 1, . . . , n, n ≥ 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 < t1 < t2 < . . . < tn and (ii) 0 < y1 < y2 < . . . < yn < 1. To this end, an illus...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2010
ISSN: 0307-904X
DOI: 10.1016/j.apm.2009.10.001