Define different types of censoring for a univariate discrete distribution:

Define different types of censoring for a univariate continuous distribution:

Define a right-censored discrete distribution:

Compare probability density functions:

Find probability at 9 for the censored distribution:

Compare to the probability of obtaining a value of at least 9 for the original distribution:

Censoring of continuous distributions results in the PDF having generalized functions:

Use a histogram and plot the original density function to visualize the point probability:

The value of the PDF at the truncation point:

A distribution censored to one point:

Censoring for a multivariate continuous distribution:

Compute the expectation of an expression for this distribution:

Censoring for a multivariate discrete distribution:

Compute the mean for the distribution:

Compare with the result obtained using a random sample drawn from the distribution:

Define a doubly censored distribution:

Cumulative distribution function:

The mean and variance of the censored distribution:

Moment has closed form for symbolic order:

Estimate the censoring interval:

Define a right-censored continuous distribution:

Probability density function:

Plot a histogram for a random sample. The spike corresponds to the

DiracDelta part of

PDF:

Compare probability density functions:

The values of the PDF at the censoring points are equal to the following probabilities:

Define a doubly censored

GammaDistribution:

Find generating functions:

Define a right-censored

PoissonDistribution:

Define a two-dimensional censored

DirichletDistribution:

Compare CDFs:

Mean and variance for the censored distribution:

Compute probabilities and expectations:

Compare cumulative distribution functions:

Compare CDFs:

Compare cumulative distribution functions:

Cumulative distribution function:

Define a censored

MixtureDistribution:

Cumulative distribution function:

Define a a censored

OrderDistribution:

Probability density function:

Compare means:

Probability density function:

Compare to doubly censored Poisson distribution:

Compare cumulative distribution functions:

Probability density function:

Probability density function:

Compare with the PDF of the marginal:

Define a censored

ProductDistribution:

Visualize the density function using a random sample: