Log-concave probability and its applications
TLDR
In this article, a series of theorems relating log-concavity and/or logconvexity of probability density functions, distribution functions, reliability functions, and their integrals are presented.Abstract:
In many applications, assumptions about the log-concavity of a probability distribution allow just enough special structure to yield a workable theory. This paper catalogs a series of theorems relating log-concavity and/or log-convexity of probability density functions, distribution functions, reliability functions, and their integrals. We list a large number of commonly-used probability distributions and report the log-concavity or log-convexity of their density functions and their integrals. We also discuss a variety of applications of log-concavity that have appeared in the literature.read more
Citations
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Social capital and finding a job: Do contacts matter?
TL;DR: In this article, a test of causality is proposed based on the argument that if social capital variables do have a causal effect on job outcomes, then workers with high levels of social capital should be more likely to use contacts to find work, all else being equal.
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Purchasing, Pricing, and Quick Response in the Presence of Strategic Consumers
Gérard P. Cachon,Robert Swinney +1 more
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Participation Constraints in Adverse Selection Models
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References
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The Market for “Lemons”: Quality Uncertainty and the Market Mechanism
TL;DR: In this paper, the authors present a struggling attempt to give structure to the statement: "Business in under-developed countries is difficult"; in particular, a structure is given for determining the economic costs of dishonesty.
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Statistical Theory of Reliability and Life Testing: Probability Models
Richard E. Barlow,Frank Proschan +1 more
TL;DR: A number of new classes of life distributions arising naturally in reliability models are treated systematically and each provides a realistic probabilistic description of a physical property occurring in the reliability context, thus permitting more realistic modeling of commonly occurring reliability situations.
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Efficient Mechanisms for Bilateral Trading
TL;DR: In this article, the seller's valuation and the buyer's valuation for a single object are assumed to be independent random variables, and each individual's valuation is unknown to the other.
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Regulating a monopolist with unknown costs
David P. Baron,Roger B. Myerson +1 more
TL;DR: In this paper, the authors consider the problem of how to regulate a monopolistic firm whose costs are unknown to the regulator, and derive an optimal regulatory policy for the case in which the regulator does not know the costs of the firm.