Returns the probability density/mass function for continuous/discrete (or mixture) distributions evaluated at a given point.

pdf(object, x1, ..., log = FALSE, simplify = TRUE)

object | Distribution. |
---|---|

x1 | vector of numerics to evaluate function at. |

... | additional arguments. |

log | logical; if TRUE, probabilities p are given as log(p). |

simplify | if TRUE (default) returns results in simplest form (vector or data.table) otherwise as data.table. |

Probability density function evaluated at given points as either a numeric if `simplify`

is TRUE
or as a data.table.

For discrete distributions the probability mass function (pmf) is returned, defined as $$p_X(x) = P(X = x)$$ for continuous distributions the probability density function (pdf), \(f_X\), is returned $$f_X(x) = P(x < X \le x + dx)$$ for some infinitesimally small \(dx\).

If available a pdf will be returned without warning using an analytic expression. Otherwise,
if the distribution has not been decorated with `FunctionImputation`

, `NULL`

is returned.
To impute the pdf, use `decorate(distribution, FunctionImputation)`

, this will provide a numeric
calculation for the pdf with warning.

Additional named arguments can be passed, which are required for composite distributions such as
`ProductDistribution`

and `ArrayDistribution`

.

$pdf(x1, ..., log = FALSE, simplify = TRUE)

`cdf`

, `quantile`

, `rand`

for other statistical functions.
`FunctionImputation`

, `decorate`

for imputing missing functions.