circlus (version 0.0.2)

dspcauchy: Density Function for Spherical Cauchy Distribution

Description

Calculates the density of the spherical Cauchy distribution for given data points.

Usage

dspcauchy(y, mu, rho, log = FALSE)

Value

A vector of density values (or log-density if log = TRUE) for each row in y.

Arguments

y

A matrix or data frame where each row represents a data point on the unit hypersphere.

mu

A vector or matrix representing the mean direction parameter(s). If a vector, it must be normalized (unit length) and is applied to all data points. If a matrix, it must have the same number of rows as y, and each row must be normalized.

rho

A scalar or a vector representing the concentration parameter. If a vector, its length must match the number of rows in y. Each rho[i] is used to evaluate the density for y[i, ]. Must be between 0 (inclusive) and 1 (exclusive).

log

Logical; if TRUE, the log-density is returned. Default is FALSE.

Details

This function calculates the density of the spherical Cauchy distribution for each data point in y, given the parameters mu and rho.

Examples

y <- matrix(c(1, 0, 0, 0, 0, 1), ncol = 3, byrow = TRUE)
mu <- c(1, 0, 0)
rho <- 0.5
dspcauchy(y, mu, rho)