On parameter estimation in the bass model by nonlinear least squares fitting the adoption curve
نویسندگان
چکیده
منابع مشابه
On parameter estimation in the bass model by nonlinear least squares fitting the adoption curve
The Bass model is one of the most well-known and widely used first-purchase diffusion models in marketing research. Estimation of its parameters has been approached in the literature by various techniques. In this paper, we consider the parameter estimation approach for the Bass model based on the nonlinear weighted least squares fitting of its derivative known as the adoption curve. We show th...
متن کاملNonlinear weighted least squares fitting Bass diffusion model
The Bass model is one of the most well-known and widely used first-purchase diffusion models in marketing research. The main reason for this is that it finds its origin in a formal theory of product diffusion, and that the model parameters have an easy interpretation in terms of innovation and imitation. Namely, Bass classified adopters (first-time buyers) into two groups: innovators and imitat...
متن کاملFundamental frequency estimation by least-squares harmonic model fitting
This paper proposes a pitch estimation algorithm that is based on optimal harmonic model fitting. The algorithm operates directly on the time-domain signal and has a relatively simple mathematical background. To increase its efficiency and accuracy, the algorithm is applied in combination with an autocorrelation-based initialization phase. For testing purposes we compare its performance on pitc...
متن کاملOn nonlinear weighted least squares fitting of the three-parameter inverse Weibull distribution∗
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...
متن کاملNonlinear Least-squares Estimation
The paper uses empirical process techniques to study the asymptotics of the least-squares estimator for the fitting of a nonlinear regression function. By combining and extending ideas of Wu and Van de Geer, it establishes new consistency and central limit theorems that hold under only second moment assumptions on the errors. An application to a delicate example of Wu’s illustrates the use of t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Applied Mathematics and Computer Science
سال: 2013
ISSN: 2083-8492,1641-876X
DOI: 10.2478/amcs-2013-0012