Abstract
A Multiplicative Competitive Interaction Model may be used for predicting the sales volumes for new locations of large scale stores or shopping centers. The paper reviews the least squares technique for evaluating the parameters of the model. Teekens ’ approach is applied to obtain the maximum likelihood estimators for the multiplicative competitive interaction model. The minimum variance unbiased estimators and limitations of the various techniques are discussed.
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References
Aitchison, J. and Brown, J.A.C., The Lognormal Distribution, Cambridge University Press, 1966.
Applebaum, William, Methods For Determining Store Trade Areas, Market Penetration, and Potential Sales, Journal of Marketing Research Volume III, May 1966.
Bradu, Dan and Mundlak, Yair, Estimation In Log-normal Linear Models, Journal of American Statistical Association, Volume 65, March 1970.
Finney, D.J., On the Distribution Of A Variate Whose Logarithm Is Normally Distributed, Supplement To The Journal Of The Royal Statistical Society, Volume 7, 1951.
Haines, George Jr., Simon, Leonard S., and Alexis Marcus, Maximum Likelihood Estimation of Central-City Food Trading Areas, Journal Of Marketing Research, Volume LX, May 1972.
Hlavac, Theodore, E., Jr. and Little, John D.C., A Geographical Model Of An Urban Automobile Market, in David B. Hertz and Jacques Meese (editors), Proceedings Of The Fourth InterNational Conference In Operations Research, John Wiley and Sons, New York, 1966.
Huff, David L., “Determination Of Intraurban Retail Trade Areas”, Los Angeles: Real Estate Research Program, University of California, Los Angeles, 1962.
Huff, David L., Lawrence, A Programmed Solution For Approximating An Optimum Retail Location, Center For Regional Studies, University of Kansas.
Johnston, J. Econometric Methods, (2nd Edition), McGraw-Hill Book Company, New York, 1972.
Kuehn, Alfred A., McGuire, Timothy W., and Weiss, Doyle L., “Measuring The Effectiveness of Advertising”, Proceedings, Fall Conference, American Marketing Association, 1966.
Luce, Ducan R., Individual Choice Behavior, John Wiley and Sons, New York, 1959.
McFadden, Daniel, Conditional Logit Analysis of Qualitative Choice Behavior, from Frontiers In Econometrics, edited by Paul Zarembka, Academic Press, 1974.
Nakanishi, Masao, and Cooper, Lee G., Parameter Estimation For A Multiplicative Competitive Interaction Model--Least Squares Approach, Journal Of Marketing Research, Volume XI, August 1974.
Teekens, R., Prediction Methods In Multiplicative Models, Rotterdam University Press, 1972.
Theil, Henri, Principles of Econometrics, John Wiley and Sons, Inc., 1971.
Thoni, H., A Table For Estimating The Mean Of A Lognormal Distribution, Journal Of The American Statistical Association, Volume 64, 1969.
Urban, Glen L., “Mathematical Modeling Approach To Product Line Decisions”, Journal Of Marketing Research, Volume 6 February 1969.
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Khairullah, Z.Y., Pandit, V. (2015). Estimation of a Multiplicative Model for Locating Large Retail Stores. In: Malhotra, N. (eds) Proceedings of the 1985 Academy of Marketing Science (AMS) Annual Conference. Developments in Marketing Science: Proceedings of the Academy of Marketing Science. Springer, Cham. https://doi.org/10.1007/978-3-319-16943-9_43
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DOI: https://doi.org/10.1007/978-3-319-16943-9_43
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16942-2
Online ISBN: 978-3-319-16943-9
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