The Loglogistic Distribution Notes

The Loglogistic Distribution Notes

The Loglogistic Distribution

As may be surmised from the name, the loglogistic distribution is similar to the logistic distribution. Specifically, the data follows a loglogistic distribution when the natural logarithms of the times-to-failure follow a logistic distribution. Accordingly, the loglogistic and lognormal distributions also share many similarities.

The pdf of the loglogistic distribution is given by:

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where:

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The loglogistic distribution and its characteristics are presented in The Loglogistic Distribution.

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