# pBeta.4P

From betafunctions v1.4.0
by Haakon Haakstad

##### Cumulative Probability Function under the Four-Parameter Beta Probability Density Distribution.

Function for calculating the proportion of observations up to a specifiable quantile under the Four-Parameter Beta Distribution.

##### Usage

`pBeta.4P(q, l, u, alpha, beta, lower.tail = TRUE)`

##### Arguments

- q
The quantile or a vector of quantiles for which the proportion is to be calculated.

- l
The first (lower) location parameter.

- u
The second (upper) location parameter.

- alpha
The first shape parameter.

- beta
The second shape parameter.

- lower.tail
Whether the proportion to be calculated is to be under the lower or upper tail. Default is

`TRUE`

(lower tail).

##### Value

A vector of proportions of observations falling under specified quantiles under the four-parameter beta distribution.

##### Examples

```
# NOT RUN {
# Assume some variable follows a four-parameter beta distribution with
# location parameters l = 0.25 and u = .75, and shape
# parameters alpha = 5 and beta = 3. To compute the
# cumulative probability at a specific point of the distribution (e.g., .5)
# using pBeta.4P():
pBeta.4P(q = .5, l = .25, u = .75, alpha = 5, beta = 3)
# }
```

*Documentation reproduced from package betafunctions, version 1.4.0, License: CC0*

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