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# This library is free software; you can redistribute it and/or
# modify it under the terms of the GNU Library General Public
# License as published by the Free Software Foundation; either
# version 2 of the License, or (at your option) any later version.
#
# This library is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Library General Public License for more details.
#
# You should have received a copy of the GNU Library General
# Public License along with this library; if not, write to the
# Free Foundation, Inc., 59 Temple Place, Suite 330, Boston,
# MA 02111-1307 USA
################################################################################
# FUNCTION: DESCRIPTION:
# hypMode Computes the hyperbolic mode
# FUNCTION: DESCRIPTION:
# .hyp[1234]Mode Internal functions called by 'hypMode'
################################################################################
hypMode <-
function(alpha = 1, beta = 0, delta = 1, mu = 0, pm = 1)
{
# A function implemented by Diethelm Wuertz
# Modified by Georgi N. Boshnakov
# Description:
# Computes the mode of the Hyperbolic PDF
# FUNCTION:
# Return Value:
if (pm == 1)
.hyp1Mode(alpha, beta, delta, mu)
else if (pm == 2)
.hyp2Mode(alpha, beta, delta, mu)
else if (pm == 3)
.hyp3Mode(alpha, beta, delta, mu)
else if (pm == 4)
.hyp4Mode(alpha, beta, delta, mu)
else
stop("argument 'pm' must be one of the numbers 1,2,3 or 4")
}
# ------------------------------------------------------------------------------
.hyp1Mode <-
function(alpha = 1, beta = 0, delta = 1, mu = 0)
{
# A function implemented by Diethelm Wuertz
# Description:
# Computes the mode of the Hyperbolic PDF
# FUNCTION:
# Mode:
ans = mu + delta * beta / sqrt(alpha^2 - beta^2)
# Return Value:
ans
}
# ------------------------------------------------------------------------------
.hyp2Mode <-
function(zeta = 1, rho = 0, delta = 1, mu = 0)
{
# A function implemented by Diethelm Wuertz
# Description:
# Computes the hyperbolic mode in the 2nd parameterization
# FUNCTION:
# Parameter Change:
alpha = zeta / ( delta * sqrt(1 - rho*rho) )
beta = alpha * rho
# Return Value:
ans = hypMode(alpha, beta, delta, mu)
ans
}
# ------------------------------------------------------------------------------
.hyp3Mode <-
function(xi = 1/sqrt(2), chi = 0, delta = 1, mu = 0)
{
# A function implemented by Diethelm Wuertz
# Description:
# Computes the hyperbolic mode in the 3rd parameterization
# FUNCTION:
# Parameter Change:
rho = chi / xi
zeta = 1/xi^2 - 1
alpha = zeta / ( delta * sqrt(1 - rho*rho) )
beta = alpha * rho
ans = hypMode(alpha, beta, delta, mu)
# Return Value:
ans
}
# ------------------------------------------------------------------------------
.hyp4Mode <-
function(a.bar = 1, b.bar = 0, delta = 1, mu = 0)
{
# A function implemented by Diethelm Wuertz
# Description:
# Computes the hyperbolic mode in the 4th parameterization
# FUNCTION:
# Parameter Change:
alpha = a.bar / delta
beta = b.bar / delta
ans = hypMode(alpha, beta, delta, mu)
# Return Value:
ans
}
################################################################################
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