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CPS2134 Yutaka Kuroki et al.

                            A multi-factor modelling for retail demand
                         forecasting: An empirical analysis of restaurant
                                        visitors prediction
                                              1
                                                                  2
                                Yutaka Kuroki ; Takayuki Shiohama
                         1  Graduate School of Engineering, Tokyo University of Science
                2   Department of Information and Computer Technology, Tokyo University of Science

            Abstract
            Analyzing  cross-sectional  and  time-series  retail  sales  data  is  important  for
            multi  store  retail  managements,  especially  in  service  related  and  retail
            businesses.  This  paper  presents  a  use  of  factor  model  for  numbers  of
            customers forecasting in retail business and tests the validity of the proposed
            model. The factors are constructed by means of fundamental factors which are
            common tools for analyzing asset pricing models in financial market analysis.
            Data analysis using Japanese restaurants data are illustrated and showed that
            the  effectiveness  of  the  multi-factor  modeling  with  high  forecasting
            performances.

            Keywords
            Marketing; factor model; panel data econometrics; structural time series
            analysis.

            1.  Introduction
                There has been an enormous growth in needs for big-data analytics in
            marketing  science.  Point-of-Sales  (POS)  data  can  be  helpful  to  provide
            accurate demand forecast of a retail shop and be used to analyze consumer
            buying  behavior.  Big  data  analysis  makes  one-to-one  marketing  possible,
            which improves management effectiveness and accurate decision making in
            their  supply  chain.  Forecasting  demand  in  multi  store  sales  is  especially
            important for effective managements such as franchise chains. Since demand
            not for a single store, but for whole stores is dominated by calendar effects,
            which can be considered as an undiversifiable risk called a “systematic risk”.
            On  the  other  hand,  demand  forecasting  for  a  single  store  is  not  enough
            explained  by  such  a  common  effect.  We  need  to  model  and  manage  an
            “idiosyncratic  risk”  which  arise  in  single  store  retail  businesses  by  using
            appropriate statistical approaches.
                In this study, we propose the factor models for number of customers of
            restaurants  in  Japan.  We  use  seasonal  and  calendar  effects  as  dominant
            factors, other factors are also proposed using the similar idea of analyzing the
            Capital Asset Pricing Model (CAPM) in financial econometrics. These factors
            include market, size, and volatility factors, which are considered as anomalies
            of  the  dynamics  of  the  cross-sectional  restaurant  visitors  time  series.  The
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