Titlebook: Life Distributions; Structure of Nonpara Albert W. Marshall,Ingram Olkin Book 2007 Springer-Verlag New York 2007 Descriptive statistics.Gau

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Preliminariesstinguish three aspects of the theory: (a) the formal logical content, (b) the intuitive background, and (c) the applications. The character, and the charm, of the whole structure cannot be appreciated without considering all three aspects in their proper relation.

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Mixturesble. For example, measurements of life lengths of a device may be gathered without regard to the manufacturer, or data may be gathered on humans without regard, say, to blood type. If the ignored variable (manufacturer or blood type) has a bearing on the characteristic being measured, then the data are said to come from a mixture.

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Nonparametric Families: Origins in Reliability TheoryThe theory that has been developed for these families has thus involved the notion of components and systems, which might be mechanical, electrical, or hydraulic. But the same ideas often can be applied to biological systems also.

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The Pareto and F Distributions and Their Parametric ExtensionsExtensions of the exponential distribution are obtained in Chapter 9through use of the various semiparametric families discussed in Chapter7.