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SOLUTIONS
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Functions
- BinomialDistribution
- BirnbaumSaundersDistribution
- CensoredDistribution
- CoxianDistribution
- CoxModelFit
- ErlangDistribution
- ExponentialDistribution
- ExtremeValueDistribution
- FailureDistribution
- FrechetDistribution
- GammaDistribution
- GeometricDistribution
- GompertzMakehamDistribution
- GumbelDistribution
- HyperexponentialDistribution
- HypoexponentialDistribution
- LogLogisticDistribution
- LogNormalDistribution
- MaxStableDistribution
- MinStableDistribution
- MixtureDistribution
- NormalDistribution
- ParameterMixtureDistribution
- ParetoDistribution
- ReliabilityDistribution
- StandbyDistribution
- SurvivalDistribution
- SurvivalModelFit
- TransformedDistribution
- TruncatedDistribution
- WeibullDistribution
- Related Guides
Distributions in Reliability Analysis
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.
Featured ExamplesFeatured Examples |
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Analyze Component Importance
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Apply Censoring to a Distribution
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Compare Nonparametric and Parametric Reliability Models
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Compute Common Properties for Reliability
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Estimate Distribution Parameters from Survival Data
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Estimate Expected Survival with Incomplete Data
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Order Statistics Distribution for General Multivariate Distribution
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Quantify Relative Risk Using a Cox-Proportional Hazards Model
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Select Which Component in a System to Improve
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Simulate the Lifetime of Solar Panels
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Surveillance Camera Reliability
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Use a Gompertz Distribution as a Lifetime Model
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Visualize the Projected Lifetime of a Component
ReferenceReference
ExponentialDistribution — constant failure rate distribution
GompertzMakehamDistribution — exponential failure rate distribution
BirnbaumSaundersDistribution — fatigue life distribution
BinomialDistribution ▪ GammaDistribution ▪ GeometricDistribution ▪ ErlangDistribution ▪ HypoexponentialDistribution ▪ HyperexponentialDistribution ▪ CoxianDistribution ▪ NormalDistribution ▪ LogNormalDistribution ▪ LogLogisticDistribution ▪ ParetoDistribution
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
