Fatigue Life Distribution with Threshold

Probability Density Function (PDF)

Cumulative Distribution Function (CDF)

where 𝜙(𝑥) and Φ(𝑥) are respectively the PDF and CDF of the standard normal distribution.

• Range 0 ≤ 𝑥 - 𝜃 < ∞
• Scale parameter 𝛽 > 0
• Shape parameter 𝛾 > 0
• Threshold parameter 𝜃 < 𝑚𝑖𝑛(𝑥)

Notes: This is also known as the Birnbaum Saunders distribution.