BUILT-IN MATHEMATICA SYMBOL

# CensoredDistribution

CensoredDistribution[{xmin, xmax}, dist]
represents the distribution of values that come from dist and are censored to be between and .

CensoredDistribution[{{xmin, xmax}, {ymin, ymax}, ...}, dist]
represents the distribution of values that come from the multivariate distribution dist and are censored to be between and , and , etc.

## DetailsDetails

• CensoredDistribution[{xmin, xmax}, dist] is equivalent to TransformedDistribution[f, xdist], where f is given by Piecewise[{{xmin, x<=xmin}, {x, xmin<x<xmax}, {xmax, x>=xmax}}].
• Common cases for include:
•  {-∞,xmax} censoring from above, right-censoring {xmin,∞} censoring from below, left-censoring {xmin,xmax} doubly censored, interval-censoring {-∞,∞},None no censoring, uncensored
• CensoredDistribution can be used with such functions as Mean, CDF, RandomVariate, etc.

## ExamplesExamplesopen allclose all

### Basic Examples (2)Basic Examples (2)

Define a left-censored discrete distribution:

Probability density function:

 Out[2]=

Define a right-censored continuous distribution:

Cumulative distribution function:

 Out[2]=