# cdf.HurdlePoisson: Evaluate the cumulative distribution function of a hurdle... In distributions3: Probability Distributions as S3 Objects

 cdf.HurdlePoisson R Documentation

## Evaluate the cumulative distribution function of a hurdle Poisson distribution

### Description

Evaluate the cumulative distribution function of a hurdle Poisson distribution

### Usage

```## S3 method for class 'HurdlePoisson'
cdf(d, x, drop = TRUE, elementwise = NULL, ...)
```

### Arguments

 `d` A `HurdlePoisson` object created by a call to `HurdlePoisson()`. `x` A vector of elements whose cumulative probabilities you would like to determine given the distribution `d`. `drop` logical. Should the result be simplified to a vector if possible? `elementwise` logical. Should each distribution in `d` be evaluated at all elements of `x` (`elementwise = FALSE`, yielding a matrix)? Or, if `d` and `x` have the same length, should the evaluation be done element by element (`elementwise = TRUE`, yielding a vector)? The default of `NULL` means that `elementwise = TRUE` is used if the lengths match and otherwise `elementwise = FALSE` is used. `...` Arguments to be passed to `phpois`. Unevaluated arguments will generate a warning to catch mispellings or other possible errors.

### Value

In case of a single distribution object, either a numeric vector of length `probs` (if `drop = TRUE`, default) or a `matrix` with `length(x)` columns (if `drop = FALSE`). In case of a vectorized distribution object, a matrix with `length(x)` columns containing all possible combinations.

### Examples

```## set up a hurdle Poisson distribution
X <- HurdlePoisson(lambda = 2.5, pi = 0.75)
X

## standard functions
pdf(X, 0:8)
cdf(X, 0:8)
quantile(X, seq(0, 1, by = 0.25))

## cdf() and quantile() are inverses for each other
quantile(X, cdf(X, 3))

## density visualization
plot(0:8, pdf(X, 0:8), type = "h", lwd = 2)

## corresponding sample with histogram of empirical frequencies
set.seed(0)
x <- random(X, 500)
hist(x, breaks = -1:max(x) + 0.5)
```

distributions3 documentation built on Sept. 7, 2022, 5:07 p.m.