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Probability and measure, by Patrick Billingsley. Pp 515. £15·20. 1979. SBN 0 471 03173 9 (Wiley)

L.E. Clarke
- 01 Dec 1980 - 
- Vol. 64, Iss: 430, pp 293-294
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This article is published in The Mathematical Gazette.The article was published on 1980-12-01. It has received 134 citations till now. The article focuses on the topics: Measure (physics).

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Proceedings Article

A Distributional Perspective on Reinforcement Learning

TL;DR: This paper argues for the fundamental importance of the value distribution: the distribution of the random return received by a reinforcement learning agent, and designs a new algorithm which applies Bellman's equation to the learning of approximate value distributions.
Journal ArticleDOI

Costly Monitoring, Loan Contracts, and Equilibrium Credit Rationing

TL;DR: This paper developed a model with asymmetrically informed agents and costly monitoring of loan contracts, where an equilibrium can exhibit credit rationing, and the aggregate quantity of loans and equilibrium interest rates respond differently depending on whether there is rationing in equilibrium.
Proceedings Article

Private Convex Empirical Risk Minimization and High-dimensional Regression

TL;DR: In this article, the authors consider differentially private algorithms for convex empirical risk minimization (ERM) problems, in which one aims to find solutions (e.g., regression parameters) with few nonzero coefficients.
Book ChapterDOI

On the detection of anomalous system call arguments

TL;DR: In this article, learning-based anomaly detection systems build models of the expected behavior of applications by analyzing events that are generated during their normal operation, and subsequent events are analyzed to identify deviations, given the assumption that anomalies usually represent evidence of an attack.
Journal ArticleDOI

Dynamic stochastic programmingfor asset-liability management

TL;DR: The CALM model, designed to deal with uncertainty affecting both assets and liabilities (in the form of scenario dependent payments or borrowing costs) is presented, which is based on the current version of MSLiP.
References
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ReportDOI

Practical Reliability and Uncertainty Quantification in Complex Systems: Final Report

TL;DR: In this paper, the authors investigated the use of Bayesian methods for the estimation of the reliability of complex systems and developed procedures to address time-dependent or aging aspects in such systems, and used these models and results to derive optimal testing strategies.
Journal Article

How to base probability theory on perfect-information games

TL;DR: The standard way of making probability mathematical begins with measure theory, but an alternative that begins with game theory is reviewed, and how this approach differs from the measure-theoretic approach is discussed.
Dissertation

Calculabilité, aléatoire et théorie ergodique sur les espaces métriques

TL;DR: In this paper, Brudno et al. introduce the notion of complexite algorithmique des orbites, which is an extension of l'aleatoire algorithmique to space metriques calculables.
Journal ArticleDOI

Designing Conservative Sensor Detection Systems With the Scan Statistic Under Emitter Location Uncertainty

TL;DR: With these bounds and procedure, systems that ensure a minimum under a ${P_D}$ constraint can be designed.
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