کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1136506 | 1489158 | 2011 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Total least squares fitting Bass diffusion model
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
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چکیده انگلیسی
This paper is concerned with the Bass model, which is widely used as a first-purchase diffusion model in marketing research. Estimation of its parameters has been approached in the literature by various techniques. In this paper, we consider the nonlinear weighted total least squares (TLS) fitting approach. We show that it is possible that the TLS estimate does not exist. As a main result, two theorems on the existence of the total least squares estimate are obtained, as well as their generalization in the total lsls norm (1≤s<∞1≤s<∞). Several illustrative numerical examples are given to illustrate the efficiency of our approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 53, Issues 9–10, May 2011, Pages 1756–1770
Journal: Mathematical and Computer Modelling - Volume 53, Issues 9–10, May 2011, Pages 1756–1770
نویسندگان
Dragan Jukić,