Autor:

Marković, Darija ; Jukić, Dragan

Współtwórca:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Tytuł:

On parameter estimation in the bass model by nonlinear least squares fitting the adoption curve

Tytuł publikacji grupowej:

AMCS, Volume 23 (2013)

Temat i słowa kluczowe:

Bass model ; least squares estimate ; existence problem ; data fitting

Abstract:

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 nonlinear weighted least squares fitting of its derivative known as the adoption curve. ; We show that it is possible that the least squares estimate does not exist. As a main result, two theorems on the existence of the least squares estimate are obtained, as well as their generalization in the ls norm. One of them gives necessary and sufficient conditions which guarantee the existence of the least squares estimate. Several illustrative numerical examples are given to support the theoretical work.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2013

Typ zasobu:

artykuł

DOI:

10.2478/amcs-2013-0012

Strony:

145-155

Źródło:

AMCS, volume 23, number 1 (2013) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego