{"id":599,"date":"2024-08-29T09:54:55","date_gmt":"2024-08-29T07:54:55","guid":{"rendered":"https:\/\/site.ellistat.com\/?p=599"},"modified":"2025-02-05T09:55:42","modified_gmt":"2025-02-05T08:55:42","slug":"reliability-weibulls-law","status":"publish","type":"post","link":"https:\/\/clooma.ai\/en\/reliability-weibulls-law\/","title":{"rendered":"Reliability and the Weibull Distribution"},"content":{"rendered":"

The Weibull distribution is most often used to model reliability data. Ellistat's Data Analysis module <\/a>allows you to perform these analyses with ease.<\/p>\n\n\n\n

Definitions: Reliability, the Weibull Distribution, Failure<\/h2>\n\n\n\n

Reliability<\/strong>:
Reliability is the ability of an entity to perform a required function, under given conditions, during a given time interval.<\/p>\n\n\n\n

Failure:<\/strong>
Failure is the end of a device's ability to perform an expected function. It may be partial (deterioration in performance) or total (end of function).<\/p>\n\n\n\n

R(t)<\/strong>Probability that an entity E is non-defaulting over the time span [0 ; t ], assuming it is non-defaulting at time t = 0.<\/p>\n\n\n\n

F(t)<\/strong>F(t) is the cumulative function of failures \u00e8 F(t) = 1 - R(t)<\/p>\n\n\n\n

Probability density<\/strong>\u00a0f(t) represents the product failure rate, i.e. the probability that a product will fail over the time interval [t,t+dt].<\/p>\n\n\n\n

\u03bb(t) or failure rate :\u00a0<\/strong>\u03bb(t) represents the product failure rate, i.e. the probability that a product will fail over the time interval [t,t+dt] knowing that it did not fail at time t.<\/p>\n\n\n\n