Appendix C: Distribution Log-Likelihood Equations

This appendix covers the log-likelihood functions and their associated partial derivatives for most of the distributions available in Weibull++. These distributions are discussed in more detail in the following chapters:

• The Weibull Distribution

• The Exponential Distribution

• The Normal Distribution

• The Lognormal Distribution

• Other Distributions

This appendix is made up of the following sections:

• Weibull Log-Likelihood Functions and their Partials

• Exponential Log-Likelihood Functions and their Partials

• Normal Log-Likelihood Functions and their Partials

• Lognormal Log-Likelihood Functions and their Partials

• Mixed Weibull Log-Likelihood Functions and their Partials

• Logistic Log-Likelihood Functions and their Partials

• The Loglogistic Log-Likelihood Functions and their Partials

• The Gumbel Log-Likelihood Functions and their Partials

• The Gamma Log-Likelihood Functions and their Partials

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