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SOLUTIONS
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Functions
- BarabasiAlbertGraphDistribution
- BernoulliGraphDistribution
- CensoredDistribution
- CompoundPoissonDistribution
- CopulaDistribution
- FailureDistribution
- GraphPropertyDistribution
- MarginalDistribution
- MixtureDistribution
- OrderDistribution
- ParameterMixtureDistribution
- ProductDistribution
- ReliabilityDistribution
- SliceDistribution
- SplicedDistribution
- StandbyDistribution
- StationaryDistribution
- TransformedDistribution
- TruncatedDistribution
- Related Guides
Derived Statistical Distributions
Derived distributions are modifications to existing distributions. There is a variety of ways in which you can arrive at modified distributions, including functions of random variables, weighted mixtures of distributions, truncated or censored distributions, marginals from higher-dimensional distributions, or joining marginals to a dependency kernel, as in copulas. Derived distributions behave just like any other distribution in Mathematica. You can compute several dozen properties, including distribution functions or probabilities of events, or generate random variates from them.
Featured ExamplesFeatured Examples |
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Apply Censoring to a Distribution
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Compare Nonparametric and Parametric Reliability Models
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Compute a Complex Probability
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Decompose Mixture Models of Earthquake Magnitudes
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Model Claim Payments for Insurance
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Order Statistics Distribution for General Multivariate Distribution
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Perform Affine Transformations on a Normal Distribution
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Simulate a Derived Distribution
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Splice the Body of a Distribution with New Tails
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Truncate a Distribution
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Use Component Mixtures to Model Multimodal Data
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Use Different Copula Kernels
ReferenceReference
Functions of Random Variables
TransformedDistribution — distribution of a function of a random variable
OrderDistribution — distribution of order statistics
SplicedDistribution — distribution from splicing several distributions together
Mixtures
MixtureDistribution — weighted component mixture distribution
ParameterMixtureDistribution — parameter mixture distribution
CompoundPoissonDistribution — compound Poisson or stopped sum distribution
Truncation and Censoring
TruncatedDistribution — conditional distribution with variable restricted to subdomain
CensoredDistribution — distribution of censored random variables
Multivariate
CopulaDistribution — multivariate distribution from kernel and marginal distributions
ProductDistribution — multivariate distribution from independent random variables
MarginalDistribution — marginal distributions in one or more variables
Reliability »
ReliabilityDistribution — reliability block diagram-based lifetime distribution
FailureDistribution — fault tree-based lifetime distribution
StandbyDistribution — cold, warm, etc. standby lifetime distribution
Random Processes »
SliceDistribution — distribution of one or several time slices of a random process
StationaryDistribution — stationary distribution for process if it exists
Random Graphs »
GraphPropertyDistribution — distribution of properties for graphs
BernoulliGraphDistribution ▪ BarabasiAlbertGraphDistribution ▪ ...
