2008/04/11 by Kumiko Hattori, Hattori, Kumiko, Tetsuya Hattori +1
Business, Management and Accounting · Decision Sciences · Economics, Econometrics and Finance · Mathematics · #Consumer Market Behavior and Pricing #Digital Platforms and Economics #FOS: Computer and information sciences #FOS: Economics and business #General Finance (q-fin.GN) #Innovation Diffusion and Forecasting #Methodology (stat.ME) #Statistical Finance (q-fin.ST) #q-fin.GN #q-fin.ST #stat.ME
paper · pdf · doi:10.48550/arxiv.0804.1837
arxiv created 2008/04/11 · openalex publication_date 2008/04/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a new method of estimating the distribution of sales rates of, e.g., book titles at an online bookstore, from the time evolution of ranking data found at websites of the store. The method is based on new mathematical results on an infinite particle limit of the stochastic ranking process, and is suitable for quantitative studies of the long tail structure of online retails. We give an example of a fit to the actual data obtained from Amazon.co.jp, which gives the Pareto slope parameter of the distribution of sales rates of the book titles in the store.