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Fatigue Life (Birnbaum-Saunders) Distribution

docs/tutorial:stats:continuous_fatiguelife

This distribution's pdf is the average of the inverse-Gaussian $(μ = 1)$ and reciprocal inverse-Gaussian pdf $(μ = 1)$ . We follow the notation of JKB here with $β = S .$ There is one shape parameter $c > 0$ , and the support is $x \geq 0$ .

M (t) = c 2 π exp (\frac{1}{c ^{2}} (1 - 1 - 2 c^{2} t)) (1 + \frac{1}{1 - 2 c ^{2} t})

Implementation: scipy.stats.fatiguelife