On Thursday, January 11, 2024
Tim Adams presented:
ASQ RRD series webinar: Zero Failures: Calculate Reliability with No Recorded Failures
AgendaThis presentation for the practitioner provides methods with an illustrated Microsoft Excel tool to calculate reliability when the life-data set contains no recorded failures (zero Failures). The methods address both types of data (discrete and continuous) and both types of statistics (classical and Bayesian).
The desired outcome is: Given life data with no failures and the zero-failure Excel tool, calculate reliability, interpret the result, and describe the method(s) used.
The prerequisites are familiarity (not mastery) with the following concepts (jargon): point estimate, interval estimate, confidence limit, one-sided confidence bound, probability distribution, probability density function, Bayesian inference, and Bayesian’s prior distribution and likelihood function that make the posterior distribution.
The following probability distributions are used in the methods based on classical statistics: (1) Discrete data: Binomial uses F-distribution, Beta Inverse, (2) Continuous data: Exponential uses Chi-Square, and (3) Discrete data or continuous data: Informal-Bayesian Weibull distribution (Weibayes is a special case).