%0 Conference Proceedings %T Weibull Model for Dynamic Pricing in e-Business %+ EVF Research Institute, Statistics Department %+ Applied Mathematics Department %A Nechval, Nicholas %A Purgailis, Maris %A Nechval, Konstantin %Z Part 7: Innovative e-Business Models %< avec comité de lecture %( IFIP Advances in Information and Communication Technology %B 11th Conference on e-Business, e-Services, and e-Society (I3E) %C Kaunas, Lithuania %Y Tomas Skersys %Y Rimantas Butleris %Y Lina Nemuraite %Y Reima Suomi %I Springer %3 Building the e-World Ecosystem %V AICT-353 %P 292-304 %8 2011-10-12 %D 2011 %R 10.1007/978-3-642-27260-8_24 %K e-business %K pricing %K uncertainty %K revenue %K Weibull model %K seller risk %K test plan %Z Computer Science [cs] %Z Computer Science [cs]/Networking and Internet Architecture [cs.NI]Conference papers %X As is the case with traditional markets, the sellers on the Internet do not usually know the demand functions of their customers. However, in such a digital environment, a seller can experiment different prices in order to maximize his profits. In this paper, we develop a dynamic pricing model to solve the pricing problem of a Web-store, where seller sets a fixed price and buyer either accepts or doesn’t buy. Frequent price changes occur due to current market conditions. The model is based on the two-parameter Weibull distribution (indexed by scale and shape parameters), which is used as the underlying distribution of a random variable X representing the amount of revenue received in the specified time period, say, day. In determining (via testing the expected value of X) whether or not the new product selling price c is accepted, one wants the most effective sample size n of observations X1, …, Xn of the random variable X and the test plan for the specified seller risk of Type I (probability of rejecting c which is adequate for the real business situation) and seller risk of Type II (probability of accepting c which is not adequate for the real business situation). Let μ1 be the expected value of X in order to accept c, and μ2 be the expected value of X in order to reject c, where μ1 > μ2, then the test plan has to satisfy the following constraints: (i) Pr{statistically reject c | E{X} = μ1} = α1 (seller risk of Type I), and (ii) Pr{statistically accept c | E{X} = μ2} = α2 (seller risk of Type II). It is assumed that α1 < 0.5 and α2 < 0.5. The cases of product pricing are considered when the shape parameter of the two-parameter Weibull distribution is assumed to be a priori known as well as when it is unknown. %G English %Z TC 6 %Z WG 6.11 %2 https://hal.science/hal-01560849/document %2 https://hal.science/hal-01560849/file/978-3-642-27260-8_24_Chapter.pdf %L hal-01560849 %U https://hal.science/hal-01560849 %~ IFIP %~ IFIP-AICT %~ IFIP-TC %~ IFIP-WG %~ IFIP-TC6 %~ IFIP-WG6-11 %~ IFIP-I3E %~ IFIP-AICT-353