Marginal distributions of sequential and generalized order statistics

Expressions for marginal distribution functions of sequential order statistics and generalized order statistics are presented without any restrictions imposed on the model parameters. The results are related to the relevation transform, to the distribution of the product of Beta distributed random variables, and to Meijers G-functions. Some selected applications in the areas of moments, conditional distributions, recurrence relations, and reliability properties are shown. Key words:Order statistics; Generalized order statistics; Sequential order statistics; Record values; Distribution theory; Meijers G-function; Recurrence relations; Reliability properties.     

Costs, Institutional Mobility Barriers, and Market Structure: Advertising Agencies as Multiproduct Firms

What accounts for the diversity and limited concentration that has long characterized the organization of the advertising agency industry? This question is addressed by treating an advertising agency as a multiproduct firm. The firm's product line or service mix is defined in terms of the set of different media categories where an agency places the advertising messages that it creates on behalf of its clients. Evidence is presented indicating that the structure of demand and costs in the advertising agency industry conforms to the conditions that MacDonald and Slivinski showed were required for an industry to sustain an equilibrium with diversified firms. Building on this framework, we formulate a set of three hypotheses relating to the realization of product-specific scale and scope economies. The first two hypotheses posit that given low fixed costs and minimal entry barriers, both media-specific scale and scope economies are available and can be exploited by relatively small-size agencies. The third hypothesis suggests that large agencies may experience diseconomies of scope as a consequence of excessive diversification induced by two pervasive industry institutional phenomena: (1) “bundling” of agency services to match client demand for a mix of media advertising, and (2) “conflict policy,” which prohibits an agency from serving competing accounts and operates as a mobility constraint. Utilizing a multiproduct cost function, we estimate media-specific scale and scope economies for a cross section of 401 U.S. agencies in 1987. The results obtained support the set of three hypotheses outlined above. The paper concludes with a discussion of the implications of these findings for the restructuring currently underway in this industry.     

The Lévy LIBOR model

Models driven by Lévy processes are attractive because of their greater flexibility compared to classical diffusion models. First we derive the dynamics of the LIBOR rate process in a semimartingale as well as a Lévy Heath-Jarrow-Morton setting. Then we introduce a Lévy LIBOR market model. In order to guarantee positive rates, the LIBOR rate process is constructed as an ordinary exponential. Via backward induction we get that the rates are martingales under the corresponding forward measures. An explicit formula to price caps and floors which uses bilateral Laplace transforms is derived.     

German managers'' attitudes towards Anglo-American accounting: Results from an empirical study on global accounting harmonization

The starting-point of the present paper are systematic differences between the answers of German corporate managers and professors in an empirical study by C&L Deutsche Revision AG (1995) on accounting harmonization. In this study, managers expressed themselves in all questions more positively towards current German accounting and more negatively towards US accounting than professors. The fundamental assumption put forward in this paper is that these differences are due to differences in the economic interests of the two groups. To test this empirically, hypotheses are deduced with regard to the accounting-related interests of the executive managers. The idea behind the hypotheses is that managers' answers to questions in the C&L Industry Study can be explained by structural features of their respective companies. The hypotheses are tested using multiple regression analysis. The results of the tests show that managers' answers can, to some extent, be explained by the suggested multiple regression approach. However, the answers to the rather general and abstract question (the preferred balance between the true-and-fair-view and prudence accounting principles) are much better explained than the answers with regard to detailed US-GAAP regulations. We must assume that the managers' attitudes towards concrete US-GAAP, which are directly related to corporate accounting practice, are influenced by a multitude of firm-specific and personal factors.     

Trade and the Environment: The Role of Firm Heterogeneity

In this paper, we derive a new effect of trade liberalization on the quality of the environment. We show that in the presence of heterogeneous firms, the aggregate volume of emissions is influenced by a reallocation effect resulting from an increase in the relative size of more productive firms. The relative importance of this reallocation effect and the scale effect well‐known from the literature is affected by the emission intensity at the firm level. Domestic emissions decrease as a result of a unilateral tariff reduction if and only if firm‐specific emission intensity decreases strongly with increasing firm productivity. As a result of the induced change in foreign emissions, domestic pollution can increase even if domestic emissions decrease.