Titlebook: Statistical Inference in Science; D. A. Sprott Book 2000 Springer Science+Business Media New York 2000 Likelihood.mathematical statistics.

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Springer Series in Statisticshttp://image.papertrans.cn/s/image/876443.jpg

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Division of Sample Information I: Likelihood ,, Model ,In the factorizations of probability (density) functions that follow, . is used as a generic symbol for a probability (density) function. The specific mathematical form of . will depend on what probability it represents, as the examples will show.

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Maximum Likelihood Estimation,Maximum likelihood estimation was discussed briefly in Section 5.6 in relation to reproducing the likelihood function, assuming it to be approximately normal. This procedure is in keeping with the earlier chapters and with the emphasis by Fisher (1991c, p. 73) on the importance of examining the entire likelihood function.

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Problems,Suppose the lifetime of an electronic component has an exponential distribution with probability density function . where . < 0 is the expected lifetime of such components.

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