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Beyond Beta: Other Continuous Families Of Distributions With Bounded Support And Applications
Statistical distributions are fundamental to Statistical Science and are a prime indispensable tool for its applications. This monograph is the first to examine an important but somewhat neglected field — univariate continuous distribution on a bounded domain, excluding the beta distribution. It provides an elementary but thorough discussion of “novel” contributions developed in recent years, such as the two-sided power, generalized trapezoidal and generalized Topp and Leone distributions, among others. It discusses a general framework for constructing two-sided distributions and some of its properties. It contains a comprehensive chapter on the triangular distribution as well as a chapter on earlier extensions not emphasized in existing literature. Special attention is given to estimation, in particular, non-standard maximum likelihood procedures. The applications are drawn mainly from the econometric and engineering domains.
Johnson, Norman L.
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Mathematical and Statistical Methods for Actuarial Sciences and Finance
The book develops the capabilities arising from the cooperation between mathematicians and statisticians working in insurance and finance fields. It gathers some of the papers presented at the conference MAF2010, held in Ravello (Amalfi coast), and successively, after a reviewing process, worked out to this aim.
Encyclopedia of Statistics in Quality and Reliability
An essential reference for statisticians, engineers, and quality professionals in industry, academia, and government, Encyclopedia of Statistics in Quality and Reliability offers an essential knowledge source in an area where one is sorely needed. Providing a practical orientation with a large selection of case studies, this multi-volume state-of-the-art publication examines the widespread use of Six Sigma. This popular quality measuring technique is a highly adaptable tool with many wide-reaching applications in a large variety of sectors.
Mathematical Reviews
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Risk and Decision Analysis in Maintenance Optimization and Flood Management
"Papers presented at the symposium in remembrance of prof. Jan M. van Noortwijk on November 24, 2009 in Delft, the Netherlands"--Cover.
Kotz, Samuel
Samuel Kotz (1930-2010) was a statistician who made important contributions to statistical knowledge on a variety of topics, most notably statistical distributions and their properties and characterizations, but also information theory, quality control, and process capability indices. Via two game-changing works initiated with Norman L. Johnsonthe multivolume Distributions in Statistics and the Encyclopedia of Statistical SciencesKotz immeasurably increased the methodological resources for theoretical and empirical analysis across all the sciences. This entry begins with a brief biography of Kotz, next discusses two game-changing contributions with Johnson, and then reviews Kotz's own contributions to probability distributions. Finally, the entry considers an additional legacythe interdisciplinary and global scholarly lineage traceable to Kotz.
