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Some Research Problems in Reliability Theory and in Limit Theory

机译:可靠性理论与极限理论中的若干研究问题

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This report describes 3 papers. In paper 1, functional Erdoes-Renyi type laws were established. In a revised version, the importance of establishing the compactness condition in the large deviation principle is emphasized for such laws. In addition, some large deviation results are obtained in situations where the compactness condition does not hold. In paper 2, how the dispersiveness of the mixing distribution carries over to the mixed model is qualified in terms of generalized convex functions. A sign change result is given which can be used as a diagnostic to determine if you've gone far enough when fitting a mixed model. In paper 3, a strategy is given for analyzing mixtures of exponential distributions. The strategy is primarily based on graphical procedures.

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