gemseo.uncertainty.statistics.tolerance_interval.lognormal module#

Computation of tolerance intervals from a data-fitted log-normal distribution.

class LogNormalToleranceInterval(size, mean, std, location)[source]#

Bases: NormalToleranceInterval

Computation of tolerance intervals from a data-fitted log-normal distribution.

The formulae come from the R library tolerance [1].

Parameters:

  • size (int) -- The number of samples.

  • mean (float) -- The estimation of the mean of the natural logarithm of a log-normal distributed random variable.

  • std (float) -- The estimation of the standard deviation of the natural logarithm of a log-normal distributed random variable.

  • location (float) -- The estimation of the location of the log-normal distributed.

compute(coverage, confidence=0.95, side=ToleranceIntervalSide.BOTH)[source]#

Compute a tolerance interval.

Parameters:

  • coverage (float) -- A minimum percentage of belonging to the TI.

  • confidence (float) --

    A level of confidence in [0,1].

    By default it is set to 0.95.

  • side (ToleranceIntervalSide) --

    The type of the tolerance interval characterized by its sides of interest, either a lower-sided tolerance interval \([a, +\infty[\), an upper-sided tolerance interval \(]-\infty, b]\), or a two-sided tolerance interval \([c, d]\).

    By default it is set to "both".

Returns:

The tolerance bounds.

Return type:

Bounds