dBetaMS {betafunctions}

Density Under a Specific Point of the Beta Probability Density Distribution with Specific Location Parameters, Mean, and Variance.

Description

Calculates the density under specific points of the Standard Beta probability density distribution with defined mean and variance or standard deviation.

Usage

dBetaMS(x, mean, variance = NULL, sd = NULL, l = 0, u = 1)

Arguments

x

A specific point on the x-axis of the Standard Beta Probability Density Distribution.

mean

The mean of the target Standard Beta probability density distribution.

variance

The variance of the target Standard Beta probability density distribution.

sd

The standard deviation of the target Standard Beta probability density distribution.

l

The lower-bound location parameter. Default set to 0 (the standard Beta distribution).

u

The upper-bound location parameter. Default set to 1 (the standard Beta distribution).

Value

A numeric value representing the required value for the beta Shape-parameter in order to produce a Standard Beta probability density distribution with the target mean and variance.

Examples

# To compute the density at a specific point (e.g., 0.5) along the Standard
# (two-parameter) Probability Density Distribution with mean of 0.6 and variance of 0.04:
dBetaMS(x = 0.5, mean = 0.6, variance = 0.04)

# To compute the density at a specific point (e.g., 50) along the four-
# parameter Beta distribution with a mean of 60, variance of 400, and lower-
# bound of 0 and upper-bound of 100:
dBetaMS(x = 50, mean = 60, variance = 400, l = 0, u = 100)