Survival Analysis

Reliability Estimation in Series Systems: Maximum Likelihood Techniques for Right-Censored and Masked Failure Data

Weibull Distributions: The Mathematics of Failure and Survival

The Weibull distribution models time-to-failure. In reliability engineering, that’s component lifetimes. In medicine, it’s survival times.

I’ve been studying Weibull distributions for my thesis on series system reliability. Then I …

dfr.dist: Specify the Hazard Function Directly

Most survival analysis forces you to pick from a catalog—Weibull, exponential, log-normal. dfr.dist flips this: you specify the hazard function directly, and it handles all the math.

The Core Insight

Instead of choosing Weibull(shape, scale), you …

Dynamic failure rate (DFR) distributions

Reliability Analysis and the Problem of Censored Data

One of the most interesting statistical problems I’ve encountered is reliability analysis with censored data—situations where you know something didn’t fail, but not when it will fail.

The Censoring Problem

Imagine testing light bulbs. …