IQR(x, ...)
"IQR"(x)
"IQR"(x,cond)
"IQR"(x)
"IQR"(x)
"IQR"(x)
"IQR"(x)
"IQR"(x)
"IQR"(x)
"IQR"(x)
"IQR"(x)
"IQR"(x)
"IQR"(x)
"IQR"(x)
median(x, ...)
"median"(x)
"median"(x,cond)
"median"(x)
"median"(x)
"median"(x)
"median"(x)
"median"(x)
"median"(x)
"median"(x)
"median"(x)
"median"(x)
"median"(x)
"median"(x)
mad(x, ...)
"mad"(x)
"mad"(x)
"mad"(x)
"mad"(x)
"mad"(x)
"mad"(x)
"mad"(x)
"mad"(x)
"mad"(x)
"mad"(x)
"mad"(x)
sd(x, ...)
"sd"(x, fun, cond, withCond, useApply, ...)
"sd"(x, fun, cond, withCond = FALSE, useApply = TRUE, ...)
var(x, ...)
"var"(x, fun, cond, withCond, useApply, ...)
"var"(x, fun, cond, withCond, useApply, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
"var"(x, ...)
skewness(x, ...)
"skewness"(x, fun, cond, withCond, useApply, ...)
"skewness"(x, fun, cond, withCond, useApply, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
"skewness"(x, ...)
kurtosis(x, ...)
"kurtosis"(x, fun, cond, withCond, useApply, ...)
"kurtosis"(x, fun, cond, withCond, useApply, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"kurtosis"(x, ...)
"UnivariateDistribution"
fun
is computed. cond
is computed. fun
or E
sapply
, respectively apply
be used to evaluate fund
.cond
in the argument list of fun
. var
, signature(x = "Any")
:var
--- see var
resp. help(var,package="stats")
.var
, signature(x = "UnivariateDistribution")
:E()
-method.var
, signature(x = "AffLinDistribution")
:fun
, cond
are missing: x@a^2 * var(x@X0)
else uses method for signature(x = "UnivariateDistribution")
var
, signature(x = "CompoundDistribution")
:SummandsDistr
is of
class UnivariateDistribution
) the formula
$E[N]var[S]+E[S*S]var(N)$
for $N$ the frequency distribution and
$S$ the summand distribution; else we coerce to
"UnivarLebDecDistribution"
.
sd
, signature(x = "Any")
:sd
--- see sd
resp. help(sd,package="stats")
.sd
, signature(x = "NormParameter")
:sd
of the parameter of a normal distribution --- see
sd
resp. help(sd,package="distr")
.sd
, signature(x = "Norm")
:sd
of the parameter of a normal distribution --- see
sd
resp. help(sd,package="distr")
.sd
, signature(x = "UnivariateDistribution")
:E()
-method.IQR
, signature(x = "Any")
:IQR
--- see IQR
resp. help(IQR,package="stats")
.IQR
, signature(x = "UnivariateDistribution")
:q()
-method.IQR
, signature(x = "UnivariateCondDistribution")
:q()
-method. IQR
, signature(x = "DiscreteDistribution")
:q()
-method but taking care that between upper and lower quartile
there is 50% probability IQR
, signature(x = "AffLinDistribution")
:abs(x@a) * IQR(x@X0)
median
, signature(x = "Any")
:median
--- see median
resp. help(var,package="stats")
.median
, signature(x = "UnivariateDistribution")
:q()
-method. median
, signature(x = "UnivariateCondDistribution")
:q()
-method. median
, signature(x = "AffLinDistribution")
:x@a * median(x@X0) + x@b
mad
, signature(x = "Any")
:mad
--- see mad
.mad
, signature(x = "UnivariateDistribution")
:q()
-method applied to abs(x-median(x))
.mad
, signature(x = "AffLinDistribution")
:abs(x@a) * mad(x@X0)
skewness
, signature(x = "Any")
:sample.version = TRUE
).skewness
, signature(x = "UnivariateDistribution")
:E()
-method.skewness
, signature(x = "AffLinDistribution")
:fun
, cond
are missing: skewness(x@X0)
else uses method for signature(x = "UnivariateDistribution")
kurtosis
, signature(x = "Any")
:sample.version = TRUE
).kurtosis
, signature(x = "UnivariateDistribution")
:E()
-method.kurtosis
, signature(x = "AffLinDistribution")
:fun
, cond
are missing: kurtosis(x@X0)
else uses method for signature(x = "UnivariateDistribution")
var
, signature(x = "Arcsine")
:var
, signature(x = "Beta")
:var
, signature(x = "Binom")
:var
, signature(x = "Cauchy")
:var
, signature(x = "Chisq")
:var
, signature(x = "Dirac")
:var
, signature(x = "DExp")
:var
, signature(x = "Exp")
:var
, signature(x = "Fd")
:var
, signature(x = "Gammad")
:var
, signature(x = "Geom")
:var
, signature(x = "Hyper")
:var
, signature(x = "Logis")
:var
, signature(x = "Lnorm")
:var
, signature(x = "Nbinom")
:var
, signature(x = "Norm")
:var
, signature(x = "Pois")
:var
, signature(x = "Td")
:var
, signature(x = "Unif")
:var
, signature(x = "Weibull")
:IQR
, signature(x = "Arcsine")
:IQR
, signature(x = "Cauchy")
:IQR
, signature(x = "Dirac")
:IQR
, signature(x = "DExp")
:IQR
, signature(x = "Exp")
:IQR
, signature(x = "Geom")
:IQR
, signature(x = "Logis")
:IQR
, signature(x = "Norm")
:IQR
, signature(x = "Unif")
:median
, signature(x = "Arcsine")
:median
, signature(x = "Cauchy")
:median
, signature(x = "Dirac")
:median
, signature(x = "DExp")
:median
, signature(x = "Exp")
:median
, signature(x = "Geom")
:median
, signature(x = "Logis")
:median
, signature(x = "Lnorm")
:median
, signature(x = "Norm")
:median
, signature(x = "Unif")
:mad
, signature(x = "Arcsine")
:mad
, signature(x = "Cauchy")
:mad
, signature(x = "Dirac")
:mad
, signature(x = "DExp")
:mad
, signature(x = "Exp")
:mad
, signature(x = "Geom")
:mad
, signature(x = "Logis")
:mad
, signature(x = "Norm")
:mad
, signature(x = "Unif")
:skewness
, signature(x = "Arcsine")
:skewness
, signature(x = "Beta")
:skewness
, signature(x = "Binom")
:skewness
, signature(x = "Cauchy")
:skewness
, signature(x = "Chisq")
:skewness
, signature(x = "Dirac")
:skewness
, signature(x = "DExp")
:skewness
, signature(x = "Exp")
:skewness
, signature(x = "Fd")
:skewness
, signature(x = "Gammad")
:skewness
, signature(x = "Geom")
:skewness
, signature(x = "Hyper")
:skewness
, signature(x = "Logis")
:skewness
, signature(x = "Lnorm")
:skewness
, signature(x = "Nbinom")
:skewness
, signature(x = "Norm")
:skewness
, signature(x = "Pois")
:skewness
, signature(x = "Td")
:skewness
, signature(x = "Unif")
:skewness
, signature(x = "Weibull")
:kurtosis
, signature(x = "Arcsine")
:kurtosis
, signature(x = "Beta")
:kurtosis
, signature(x = "Binom")
:kurtosis
, signature(x = "Cauchy")
:kurtosis
, signature(x = "Chisq")
:kurtosis
, signature(x = "Dirac")
:kurtosis
, signature(x = "DExp")
:kurtosis
, signature(x = "Exp")
:kurtosis
, signature(x = "Fd")
:kurtosis
, signature(x = "Gammad")
:kurtosis
, signature(x = "Geom")
:kurtosis
, signature(x = "Hyper")
:kurtosis
, signature(x = "Logis")
:kurtosis
, signature(x = "Lnorm")
:kurtosis
, signature(x = "Nbinom")
:kurtosis
, signature(x = "Norm")
:kurtosis
, signature(x = "Pois")
:kurtosis
, signature(x = "Td")
:kurtosis
, signature(x = "Unif")
:kurtosis
, signature(x = "Weibull")
:kurtosis()
and skewness()
defined as methods in distrEx may get masked.
To re-mask, you may use
kurtosis <- distrEx::kurtosis; skewness <- distrEx::skewness
.
See also distrExMASK()
.skewness
and kurtosis
are due to him.distrExIntegrate
, m1df
, m2df
,
Distribution-class
,
sd
, var
, IQR
,
median
, mad
, sd
,
Sn
, Qn
# Variance of Exp(1) distribution
var(Exp())
#median(Exp())
IQR(Exp())
mad(Exp())
# Variance of N(1,4)^2
var(Norm(mean=1, sd=2), fun = function(x){x^2})
var(Norm(mean=1, sd=2), fun = function(x){x^2}, useApply = FALSE)
## sd -- may equivalently be replaced by var
sd(Pois()) ## uses explicit terms
sd(as(Pois(),"DiscreteDistribution")) ## uses sums
sd(as(Pois(),"UnivariateDistribution")) ## uses simulations
sd(Norm(mean=2), fun = function(x){2*x^2}) ## uses simulations
#
mad(sin(exp(Norm()+2*Pois()))) ## weird
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