On nonlinear weighted least squares fitting of the three-parameter inverse Weibull distribution∗
نویسندگان
چکیده
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 illustrative numerical example is given. AMS subject classifications: 65D10, 62N05, 62J02, 62G07
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Least squares fitting the three - parameter inverse Weibull density ∗
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