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Mathematical Models in the Social Sciences

Mathematical Models in the Social Sciences 1964] Reviews failures). He also reports, in more detail, on the qualitative aspects of redundancy resulting from the investigations of Moore-Shannon and their successors. R. E. Barlow develops the theme of Maintenance and Replacement Policies and, since the optimum policies depend heavily on the underlying failure distributions (which are often unknown), he endeavours to base his investigations on a broad class of functions with increasing failure rates. L. C. Hunter reports on the Optimum Checking Procedures in which the cost of inspection is set against the costs of undetected failures. In the first part of the paper the results are discussed based on the Polya class of failure distributions, whilst the second considers the assumption of an exponential distribution. In all the symposium papers the underlying probabilities are treated as known. The paper of J. R. Rosenblatt on Confidence Limits for the Reliability of Complex Systems differs from others in discussing statistical estimation procedures of reliability. The importance of non-parametric techniques is stressed, but comparisons with "exact" methods are also given. The last paper by W. Wolman, Problems in System Reliability Analysis, presents mathematical models in which it is assumed that every defect observed leads to the improvement of http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the Royal Statistical Society Series A (Statistics in Society) Oxford University Press

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Copyright
© 1964 The Authors
ISSN
0964-1998
eISSN
1467-985X
DOI
10.2307/2982303
Publisher site
See Article on Publisher Site

Abstract

1964] Reviews failures). He also reports, in more detail, on the qualitative aspects of redundancy resulting from the investigations of Moore-Shannon and their successors. R. E. Barlow develops the theme of Maintenance and Replacement Policies and, since the optimum policies depend heavily on the underlying failure distributions (which are often unknown), he endeavours to base his investigations on a broad class of functions with increasing failure rates. L. C. Hunter reports on the Optimum Checking Procedures in which the cost of inspection is set against the costs of undetected failures. In the first part of the paper the results are discussed based on the Polya class of failure distributions, whilst the second considers the assumption of an exponential distribution. In all the symposium papers the underlying probabilities are treated as known. The paper of J. R. Rosenblatt on Confidence Limits for the Reliability of Complex Systems differs from others in discussing statistical estimation procedures of reliability. The importance of non-parametric techniques is stressed, but comparisons with "exact" methods are also given. The last paper by W. Wolman, Problems in System Reliability Analysis, presents mathematical models in which it is assumed that every defect observed leads to the improvement of

Journal

Journal of the Royal Statistical Society Series A (Statistics in Society)Oxford University Press

Published: Dec 5, 2018

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