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