The fundamental type of distribution in reliability analysis is a lifetime distribution. This models the lifetime of a component or a system. Many lifetime distributions are related to extreme values, e.g. the system stops working when the first component breaks, as in a series connection, or the system stops working when the last component breaks, as in a parallel connection.

ExponentialDistribution — constant failure rate distribution

GompertzMakehamDistribution — exponential failure rate distribution

BirnbaumSaundersDistribution — fatigue life distribution

HjorthDistribution — bathtub-shaped hazard rate distribution

BinomialDistribution   ▪ GammaDistribution   ▪ GeometricDistribution   ▪ LogNormalDistribution   ▪ LogLogisticDistribution   ▪ ParetoDistribution   ▪ ShiftedGompertzDistribution

Queueing Related Distributions

ErlangDistribution — series connection of equal failure rate processes

HypoexponentialDistribution — series connection of different failure rate processes

HyperexponentialDistribution   ▪ CoxianDistribution

Extreme Value Related Distributions

WeibullDistribution — power failure rate distribution

GumbelDistribution   ▪ FrechetDistribution   ▪ ExtremeValueDistribution   ▪ MinStableDistribution   ▪ MaxStableDistribution

Derived Reliability Distributions »

MixtureDistribution — component mixture distribution

CensoredDistribution — one- or two-sided censoring

TruncatedDistribution   ▪ TransformedDistribution   ▪ ParameterMixtureDistribution

System Reliability Distributions »

ReliabilityDistribution — reliability block diagram-based lifetime distribution

FailureDistribution — fault tree-based lifetime distribution

StandbyDistribution — cold, warm, etc. standby lifetime distribution

Reliability Distributions from Censored Data »

SurvivalDistribution — reliability distribution from censored data

SurvivalModelFit — reliability distribution from censored data with confidence intervals

CoxModelFit — reliability distribution from censored data depending on covariates