The differing roles of success drivers across sequential channels: An application to the motion picture industry

In several product categories, it is typical to release products sequentially to different markets and customer segments. Conventional knowledge holds that the roles of various product success drivers do not differ significantly across these sequential channels of distribution. The authors examine sequential distribution channels within the motion picture industry and develop a model that proposes that such differences exist between a primary (short- and long-term theatrical box office) and a sequential (video rental) channel. The authors test their model with a sample of 331 motion pictures released in theaters and on video during 1999–2001 using partial least squares. Results reveal differences in the impact of success factors across channels. For example, cultural familiarity enhances box office success but relates negatively to video rental success, and distribution intensity and date of release enhance box office outcomes but have no impact on rental revenues. Thorsten Hennig-Thurau (tht@medien.uni-weimar.cie) is a professor of marketing and media research at Bauhaus-University of Weimar’s Media School and Honorary Visiting Professor of Movie Marketing in the Faculty of Management of Cass Business School, City University London. He has published articles in theJournal of Marketing, theJournal of Service Research, theInternational Journal of Electronic Commerce, theJournal of Interactive Marketing, Psychology & Marketing, and theJournal of Consumer Affairs, among others. He is author of the monograph Relationship Marketing, which has been translated into Chinese. He is member of the editorial board of three journals and serves as reviewer for theJournal of Marketing andMarketing Science. He has won eight Best Article and Best Paper Awards, including the Overall Best Paper Award of the 2005 American Marketing Association Summer Educators’ Conference and the 2002JSR Excellence in Service Research Award. Mark B. Houston (houstonmb@missouri.edu) (PhD, Arizona State University) is the David and Judy O’Neal MBA Professor at the University of Missouri-Columbia. His research on strategy, interfirm relationships, and innovation has been published in leading journals, including theJournal of Marketing, theJournal of Marketing Research, theJournal of Consumer Research, Marketing Science, theJournal of the Academy of Marketing Science, and theJournal of Financial and Quantitative Analysis. He cochaired the 2005 American Marketing Association (AMA) Summer Educators’ Conference and served for two terms as vice president of the AMA’s Technology and Marketing Special Interest Group. Gianfranco Walsh (g.walsh@strath.ac.uk) received his MPhil degree from UMIST (England) and PhD (2001) and Habilitation (2004) degrees from Hanover (Germany). His research focuses on consumer behavior, corporate reputation, and e-commerce. He has presented numerous papers at international conferences. His work has been published in, among others, theAcademy of Marketing Science Review, the International Journal of Electronic Commerce, theJournal of Consumer Affairs, theJournal of Interactive Marketing, theJournal of Macromarketing, and theJournal of Marketing Management. He is the Chair of Marketing and Electronic Retailing at the Institute for Management, University of Koblenz-Landau.     

无界时滞中立型系统(非Razumikhin型)的稳定性

本文利用 Liapunov 函数法,建立无界时滞线性和非线性中立型系统(非 Razumikhin 型)稳定性的简单判据。     

Simultaneous Estimation of Legal and Illegal Supply and Demand: The Case of Motion Pictures

Prior research into illegal goods has typically looked at one-way effects, such as illegal demand on legal demand. This research investigates a previously unexamined component of the market, illegal supply. The authors examine the supply and demand of legal goods and their illegal counterparts as a market system of four interdependent components. This research makes theoretical and empirical contributions by evaluating illegal supply in this system. Simultaneous equations estimate each market component on the others using data from the motion picture industry. The results find illegal supply has no effect on legal supply (movie screens), positive effects on illegal demand (piracy downloads), and some effect on legal demand (box office revenues). Timing effects highlight this: illegal supply has a positive effect on legal demand during a film’s opening week, but no effect post-launch. The other market components have positive effects on illegal supply (except legal supply, which is negative in the opening week). Additionally, illegal demand has a negative effect on legal demand during the opening week of release, but not in the subsequent weeks. This finding alleviates prior research tension as to whether piracy helps or hurts legal sales, as omitting illegal supply could result in biased estimates.     

Short-time at-the-money skew and rough fractional volatility

The Black–Scholes implied volatility skew at the money of SPX options is known to obey a power law with respect to the time to maturity. We construct a model of the underlying asset price process which is dynamically consistent to the power law. The volatility process of the model is driven by a fractional Brownian motion with Hurst parameter less than half. The fractional Brownian motion is correlated with a Brownian motion which drives the asset price process. We derive an asymptotic expansion of the implied volatility as the time to maturity tends to zero. For this purpose, we introduce a new approach to validate such an expansion, which enables us to treat more general models than in the literature. The local-stochastic volatility model is treated as well under an essentially minimal regularity condition in order to show such a standard model cannot be dynamically consistent to the power law.     

The characteristic function of rough Heston models

It has been recently shown that rough volatility models, where the volatility is driven by a fractional Brownian motion with small Hurst parameter, provide very relevant dynamics in order to reproduce the behavior of both historical and implied volatilities. However, due to the non‐Markovian nature of the fractional Brownian motion, they raise new issues when it comes to derivatives pricing. Using an original link between nearly unstable Hawkes processes and fractional volatility models, we compute the characteristic function of the log‐price in rough Heston models. In the classical Heston model, the characteristic function is expressed in terms of the solution of a Riccati equation. Here, we show that rough Heston models exhibit quite a similar structure, the Riccati equation being replaced by a fractional Riccati equation.     

Optimal dynamic reinsurance with dependent risks: variance premium principle

In this paper, we consider the optimal proportional reinsurance strategy in a risk model with two dependent classes of insurance business, where the two claim number processes are correlated through a common shock component. Under the criterion of maximizing the expected exponential utility with the variance premium principle, we adopt a nonstandard approach to examining the existence and uniqueness of the optimal reinsurance strategy. Using the technique of stochastic control theory, closed-form expressions for the optimal strategy and the value function are derived for the compound Poisson risk model as well as for the Brownian motion risk model. From the numerical examples, we see that the optimal results for the compound Poisson risk model are very different from those for the diffusion model. The former depends not only on the safety loading, time, and the interest rate, but also on the claim size distributions and the claim number processes, while the latter depends only on the safety loading, time, and the interest rate.     

Correlation estimation using components of Japanese candlesticks

Using the wick’s difference from the classical Japanese candlestick representation of daily open, high, low, close prices brings efficiency when estimating the correlation in a bivariate Brownian motion. An interpretation of the correlation estimator given in [Rogers, L.C.G. and Zhou, F., Estimating correlation from high, low, opening and closing prices. Ann. Appl. Probab., 2008, 18(2), 813–823] in the light of wicks’ difference allows us to suggest modifications, which lead to an increased efficiency and robustness over the baseline model. An empirical study of four major financial markets confirms the advantages of the modified estimator.     

基于Pro/E凸轮机构的运动仿真设计

文章详细介绍了Pro/E凸轮机构的运动仿真模块,完成了基于该模块的软件设计,通过对运动仿真过程的分析,证明结果可靠。     

螺旋机构运动精度可靠性设计

将螺旋机构的诸原始误差视为随机变量,对螺旋机构具有螺距累积误差、中径锥度和椭圆度误差、牙型半角误差等各项随机变量分别进行了分析;运用微小位移的线性迭加原理,综合出各项误差导致的机构运动输出总误差,建立了机构运动精度可靠性分析模型;利用计算机数字仿真技术,考察了机构各项误差导致的机构运动输出总误差对机构输出运动精度可靠性的影响,从中获得了一些有意义的结论。