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Journal of the American Statistical Association Volume 71, 1976 - Issue 356
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A Purchase Incidence Model with Inverse Gaussian Interpurchase Times

A. K. Banerjee Department of Mathematics, University of Toronto, Toronto, Canada, M5S 1A1
&
G. K. Bhattacharyya Department of Statistics, University of Wisconsin, Madison, Wisconsin, 53706, USA
Pages 823-829 | Received 01 Jun 1975, Published online: 05 Apr 2012

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Khalid Naveed, Muhammad Amin, Saima Afzal & Muhammad Qasim. (2022) New shrinkage parameters for the inverse Gaussian Liu regression. Communications in Statistics - Theory and Methods 51:10, pages 3216-3236.
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Mohammad Reza Meshkani, Afshin Fallah & Amir Kavousi. (2014) Analysis of covariance under inverse Gaussian model. Journal of Applied Statistics 41:6, pages 1189-1202.
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Muhammad Aslam, Muhammad Azam & Chi-Hyuck Jun. (2013) Decision Rule Based on Group Sampling Plan Under the Inverse Gaussian Distribution. Sequential Analysis 32:1, pages 71-82.
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HousilaP. Singh & Sheetal Pandit. (2007) Improved Estimation of Inverse Gaussian Shape Parameter and Measure of Dispersion with Prior Information. Journal of Statistical Theory and Practice 1:2, pages 205-226.
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Rajiv Grover & Pandu Tadikamalla. (1997) A Comparison of some Stochastic Models of Interpurchase Intervals and of Aggregate Purchase Incidence. American Journal of Mathematical and Management Sciences 17:3-4, pages 299-328.
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ElizabethH. Slate. (1994) Parameterizations for Natural Exponential Families with Quadratic Variance Functions. Journal of the American Statistical Association 89:428, pages 1471-1482.
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B.P.S. Murthi, Kannan Srinivasan & Pandu R Tadikamalla. (1993) Robustness of the negative binomial distribution : a simulation study. Communications in Statistics - Simulation and Computation 22:2, pages 399-420.
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AllynL. Romanow. (1984) A Brownian motion model for decision making. The Journal of Mathematical Sociology 10:1, pages 1-28.
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RajS. Chhikara & Irwin Guttman. (1982) Prediction Limits for the Inverse Gaussian Distribution. Technometrics 24:4, pages 319-324.
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Asit K. Banerjee & G. K. Bhattacharyya. (1981) Use of Bayesian Analysis of Semi-Markov Process Models to Study Consumer Buying Behavior. American Journal of Mathematical and Management Sciences 1:2, pages 109-137.
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AnneS. Davis. (1980) Use of the Likelihood Ratio Test on the Inverse Gaussian Distribution. The American Statistician 34:2, pages 108-110.
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AsitK. Banerjee & G.K. Bhattacharyya. (1979) Bayesian Results for the Inverse Gaussian Distribution with an Application. Technometrics 21:2, pages 247-251.
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Ramesh C. Gupta & H. Olcay Akman. (1995) Bayes estimation in a mixture inverse Gaussian model. Annals of the Institute of Statistical Mathematics 47:3, pages 493-503.
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Dipak C. Jain & Naufel J. Vilcassim. (2006) Estimating household purchase rates for consumer nondurable goods. Applied Stochastic Models and Data Analysis 10:1, pages 15-26.
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S Reader. (1993) Unobserved Heterogeneity in Dynamic Discrete Choice Models. Environment and Planning A: Economy and Space 25:4, pages 495-519.
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Manzoor Ahmad, Y. P. Chaubey & B. K. Sinha. (1991) Estimation of a common mean of several univariate inverse Gaussian populations. Annals of the Institute of Statistical Mathematics 43:2, pages 357-367.
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Naufel J. VilcassimDipak C. Jain. (2018) Modeling Purchase-Timing and Brand-Switching Behavior Incorporating Explanatory Variables and Unobserved Heterogeneity. Journal of Marketing Research 28:1, pages 29-41.
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Nabendu PAL & Bimal K. SINHA. 1989. Statistical Data Analysis and Inference. Statistical Data Analysis and Inference 215 222 .
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Y.S Sherif. (1982) The first passage time distribution of brownian motion and its applications. Microelectronics Reliability 22:2, pages 217-226.
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David F. Midgley. (2018) Toward a Theory of the Product Life Cycle: Explaining Diversity. Journal of Marketing 45:4, pages 109-115.
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J. L. Folks & R. S. Chhikara. (1978) The Inverse Gaussian Distribution and its Statistical Application—A Review. Journal of the Royal Statistical Society Series B: Statistical Methodology 40:3, pages 263-275.
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Malcolm Wright, Lara Stocchi & Carl Driesener. (2011) The Temporal Stability of the NBD-Dirichlet Model Parameters. SSRN Electronic Journal.
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