We present abstract inhomogeneous Strichartz estimates for dispersive operators, extending previous work by M. Keel and T. Tao on the one hand, and generalising results of D. Foschi, M. Vilela, M. Nakamura and T. Ozawa on the other hand. It is shown that these abstract estimates imply new inhomogeneous Strichartz estimates for the wave equation and some Schrödinger equations involving potentials.

Suppose that {T t : t ≥ 0} is a symmetric diffusion semigroup on L 2 (X ) and denote by { T t : t ≥ 0} its tensor product extension to the Bochner space L p (X, B), where B belongs to a certain broad class of UMD spaces. We prove a vector-valued version of the Hopf-Dunford-Schwartz ergodic theorem and show that this extends to a maximal theorem for analytic continuations of { T t : t ≥ 0} on L p (X, B). As an application, we show that such continuations exhibit pointwise convergence.

Huber loss, its asymmetric variants and their associated functionals (here named Huber functionals) are studied in the context of point forecasting and forecast evaluation. The Huber functional of a distribution is the set of minimizers of the expected (asymmetric) Huber loss, is an intermediary between a quantile and corresponding expectile, and also arises in M-estimation. Each Huber functional is elicitable, generating the precise set of minimizers of an expected score, subject to weak regularity conditions on the class of probability distributions, and has a complete characterization of its consistent scoring functions. Such scoring functions admit a mixture representation as a weighted average of elementary scoring functions. Each elementary score can be interpreted as the relative economic loss of using a particular forecast for a class of investment decisions where profits and losses are capped. The relevance of this theory for comparative assessment of weather forecasts is also discussed.

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The W.E. Upjohn Institute is pleased to publish a comprehensive review of training and remediation strategies for unemployed and underemployed persons. Although employability development programs that emphasize relatively longterm investments in training have been subordinate to programs that provide jobs, this orientation was largely due to the short-term goals inherent in both the policy orientation and management of the Comprehensive Employment and Training Act.The author clearly notes the need to reorient the ends and means of CETA. Taggart advocates that improvements be made in CETA through gradual realign ment and the development of new training activities and guidelines. In his view, training should receive top priority in order that today's unemployed and underemployed can be equipped to meet the future needs of business and industry as the U.S. enters a potential labor shortage situation within the next decade or so. This study is published with the expectation that the author's views on the role and importance of training will contribute to a more informed discussion of future employment policies and programs.Facts and observations presented in this publication are the sole responsibility of the author. His viewpoints do not necessarily represent positions of the W.E. Upjohn Institute for Employment Research.