Template:Confidence Bounds: Difference between revisions

Latest revision as of 06:58, 10 August 2012

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-==Confidence Bounds==
+#REDIRECT [[The Exponential Distribution]]
-In this section, we present the methods used in the application to estimate the different types of confidence bounds for exponentially distributed data. The complete derivations were presented in detail (for a general function) in the chapter for [[Confidence Bounds]].
-At this time we should point out that exact confidence bounds for the exponential distribution have been derived, and exist in a closed form, utilizing the <math>{{\chi }^{2}}</math> distribution. These are described in detail in [[Appendix: Weibull References|Kececioglu [20]]], and are covered in the section on test design chapter. For most exponential data analyses, Weibull++ will use the approximate confidence bounds, provided from the Fisher information matrix or the likelihood ratio, in order to stay consistent with all of the other available distributions in the application. The <math>{{\chi }^{2}}</math> confidence bounds for the exponential distribution are discussed in more detail in the test design chapter.
-{{Fisher Matrix Confidence Bounds ED}}
-{{Likelihood Ratio Confidence Bounds FMB ED}}