| halft-distn {demest} | R Documentation |
Density, distribution function, quantile function and random generation for the halt-t distribution.
rhalft(n, df, scale = 1) qhalft(p, df, scale = 1) phalft(q, df, scale = 1) dhalft(x, df, scale = 1)
n |
Number of observations. |
df |
Degrees of freedom. Positive. Can be non-integer,
and can be |
scale |
Dispersion parameter. |
p |
Vector of quantiles. |
q |
Vector of probabilities. |
x |
Vector of quantiles. |
The half-t distribution is also known as the folded-t distribution.
If X has a t distribution with degrees of freedom
v, location 0, and scale s, then |X|
has a half-t distribution with degrees of freedom v
and scale s.
Internally, the functions all call the corresponding functions
for the t distribution.
dhalft gives the density, phalft gives
the distribution function, qhalft gives the
quantile function, and rhalft generates random
deviates.
Based on Brazauskas, V., and Kleefeld, A. (2011) Folded and log-folded-t distributions as models for insurance loss data. Scandinavian Actuarial Journal 59-74.
Function plotHalfT plots density and distribution
functions for half-t distributions.
dhalft(x = 0.5, df = 7, scale = 0.5) qhalft(p = 0.9, df = 4) phalft(q = 0.5, df = 7, scale = 2) rhalft(n = 5, df = 30)