Re-estimation of Model Parameters in Growth Curves When Adjusting Market Potential and Time of Maximum Sales

성장곡선 예측 모형의 특성치 보정에 따른 매개변수의 재추정

  • Park, Ju-Seok (Department of Industrial Engineering, Pohang University of Science and Technology) ;
  • Ko, Young-Hyun (Department of Industrial Engineering, Pohang University of Science and Technology) ;
  • Jun, Chi-Hyuck (Department of Industrial Engineering, Pohang University of Science and Technology) ;
  • Lee, Jae-Hwan (IT Information Center, ETR) ;
  • Hong, Seung-Pyo (IT Information Center, ETR) ;
  • Moon, Hyung-Don (IT Information Center, ETR)
  • 박주석 (포항공과대학교 산업공학과) ;
  • 고영현 (포항공과대학교 산업공학과) ;
  • 전치혁 (포항공과대학교 산업공학과) ;
  • 이재환 (한국전자통신연구원 IT정보센터) ;
  • 홍승표 (한국전자통신연구원 IT정보센터) ;
  • 문형돈 (한국전자통신연구원 IT정보센터)
  • Received : 20020600
  • Accepted : 20030100
  • Published : 2003.03.31

Abstract

Growth curves are widely used in forecasting the market demand. When there are only a few data points available, the estimated model parameters have a low confidence. In this case, if some expert opinions are available, it would be better for predicting future demand to adjust the model parameters using these information. This paper proposes the methodology for re-estimation of model parameters in growth curves when adjusting market potential and/or time of maximum sales. We also provide the detailed procedures for five growth curves including Bass, Logistic, Gompertz, Weibull and Cumulative Lognormal models. Applications to real data are also included.

Keywords

References

  1. 염세경, 홍승표, 강회일, 김지수, 전치혁(2001), 비선형 최소자승법을 이용한 성장곡선 모형의 매개변수 추정시 초기값 설정방법에 관한 연구, 산업공학, 14(2), 190-197
  2. 임종인, 오형식(1992), 신제품 수요예측 방법론 연구, 대한산업공학회지, 18(2), 51-63
  3. Bass, F.M. (1969), A new product growth model for consumer durables, Management Science, 15, 215-227
  4. Haberman, S.J. (1978), Analysis of Qualitative Data, Academic Press
  5. Meade, N.(1984), The use of growth curves in forecasting market development - a review and appraisal, Journal of Forecasting, 3, 429-451
  6. Neter. et al. (1996), Applied Linear Statistical Models, $4^{th}$ edition, Irwin Press
  7. Olson,J.A. (1982), Generalized least squares and maximum likelihood estimation of the logistic function for technology diffusion, Technical Forecasting and Social Change, 21, 241-249
  8. Schmittlein, D.C. and V.Mahajan (1982), Maximum likelihood estimation for an innovation diffusion model of new product acceptance, Marketing Science, 1, 57-78
  9. Srinivasan, V. and C.H. Mason (1986), Nonlinear least squares estimation of new product diffusion models, Marketing Science, 5, 169-178