Module weibull 

Weibull parameter estimation and reliability analysis.

Provides maximum likelihood estimation (MLE) and median rank regression (MRR) for fitting Weibull distributions to failure data.

Modules

• weibull_mle — Newton-Raphson MLE for shape and scale parameters
• weibull_mrr — Median Rank Regression via Benard’s approximation
• ReliabilityAnalysis — R(t), hazard rate, MTBF, B-life from fitted parameters

References

• Abernethy, R.B. (2006). The New Weibull Handbook, 5th ed.
• Dodson, B. (2006). The Weibull Analysis Handbook, 2nd ed.

Structs

ReliabilityAnalysis

Reliability analysis results from a fitted Weibull distribution.

WeibullMleResult

Result of Weibull MLE fitting.

WeibullMrrResult

Result of Weibull MRR fitting.

Functions

weibull_mle

Fits Weibull distribution parameters (shape β, scale η) via Maximum Likelihood Estimation.

weibull_mrr

Fit Weibull distribution using Median Rank Regression.