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Original Articles

A Comparison of some Stochastic Models of Interpurchase Intervals and of Aggregate Purchase Incidence

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Pages 299-328 | Published online: 14 Aug 2013

  • AnscombeF. J. Estimating a Mixed Exponential Response Law. Journal of the American Statistical Association, 1961, 56, 493–502.
  • BanerjeeA. K. & BhattacharyyaG. K. A Purchase Incidence Model with Inverse Gaussian Interpurchase Times. Journal of the American Statistical Association, 1976, 71, 823–29.
  • BanerjeeA. K. & BhattacharyyaG. K., Use of Bayesian Analysis of Semi-Markov Process Models to Study Consumer Buying Behavior. American Journal of Mathematical and Management Sciences, 1981, 1, 109–137.
  • ChatfieldC., EhrenbergA. S. C. & GoodhardtG. J. Progress on a Simplified Model of Stationary Purchasing Behavior. Journal of Royal Statistical Society, Series A, 1966, A, 129, 317–67.
  • ChatfieldC. & GoodhardtG. J. A Consumer Purchasing Model with Erlang InterPurchase Times. Journal of the American Statistical Association, 1966, 68, 828–35.
  • ConsulP. C. & ShoukriM. M. Some Chance Mechanisms Related to a Generalized Poisson Probability Model. American Journal of Mathematical and Management Sciences, 1988, 8, 181–202.
  • EhrenbergA. S. C. Pattern of Consumer Purchases. Applied Statistics, 1959, 8, 26–41.
  • EhrenbergA.S.C. Repeat Buying: Theory and Applications, 1972, North Holland Publishing Company, Amsterdam.
  • FraserC. & BradfordJ. W. Competitive Market Structure and Analysis: Principal Partitioning of Reveal Substitutabilities. Journal of Consumer Research, 1983, 10, 15–30.
  • GibbonsJ.D. Nonparametric Methods for Quantitative Analysis, 1997, American Sciences Press, Inc., ColumbusOhio.
  • GroverR. & RaoV. Inferring Competitive Market Structure Based on a Model of Interpurchase Intervals. International Journal of Research in Marketing, 1988, 5, 55–72.
  • GuptaS. Impact of Sales Promotions on When, What and How Much to Buy, Journal of Marketing Research, 1988, XXV, 342–55.
  • HerniterJ. D. A Probabilistic Market Model of Purchase Timing and Brand Selection. Management Science, 1971, 18, 102–113.
  • JeulandA. P., BassF. M., & WrightG. P. A Multivariate Stochastic Model Compounding Heterogeneous Erlang Timing and Multinomial Choice Processes. Operations Research, 1980, 28, 55–77.
  • JohnsonN.L. & KotzS. Discrete Distributions, 1969, John Wiley & Sons, Inc., New York.
  • LawA. M. & KeltonW. D. Simulation Modeling and Analysis, 1991, (Second Edition) New York: Mc-Graw-Hill.
  • LillieforsH. M. On the Kolmogorov-Smirnov Test for Normality with Means and Variances Unknown. The Journal of the American Statistical Association, 1967, 62, 399–402.6.
  • LillieforsH.M. On the Kolmogorov-Smirnov Test for Exponential Distributions with Mean Unknown. Journal of the American Statistical Association, 1969, 64, 387–389.
  • LittleR. C., McClaveJ.T., & OffenW. W. Goodness-of-fit Tests for the Two Parameter Weibull Distribution. Communications in Statistics, 1979, B8, 257–69.
  • MassyW. F., MontgomeryD. B. & MorrisonD. B. Stochastic Models of Buying Behavior. 1970, CambridgeMA: The MIT Press.
  • MorrisonD. and SchmittleinD. Generalizing the NBD Model for Customer Purchases: What are the Implications and is it Worth the Effort. Journal of Business and Economic Statistics, 1988, 6, 145–66.
  • MurthiB. P. S., SrinivasanK. and TadikamallaP.R. Robustness of the Negative Binomial Distribution to Model Purchase Incidence: A Simulation Study. Communications in Statistics: Simulation and Computation, 1993, 22, 399–420.
  • NeslinS. A., HendersonC. & QuelchJ. Consumer Promotions and the Acceleration of Product Purchases. Marketing Science, 1985, 4(Spring), 147–165.
  • SchmittleinD., BemmaorA. C. & MorrisonD. Why does the NBD Model Work? Robustness in Representing Product Purchases, Brand Purchases and Imperfectly Recorded Purchases. Marketing Science. 1985, 4 (3), 255–66.
  • TadikamallaP. The Inverse Gaussian Approximation to the Lead Time Demand. International Journal of Production Research, 1981, 19, 213–19.
  • TadikamallaP. The K-S Test Critical Values for the Gamma and the Inverse Gaussian Distributions. Communications in Statistics B: Computation and Simulation, 1990, 19, 305–314.
  • WagnerU. & TaudesA. A Multivariate Polya Model of Brand Choice and Purchase Incidence. Marketing Science, 1986, 5, 219–44.

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