Description Usage Arguments Details Value Author(s) See Also
These functions are used internally by qqplot of package distr.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24  .inGaps(x,gapm)
.isReplicated(x, tol = .Machine$double.eps)
.NotInSupport(x,D)
.SingleDiscrete(x,D)
.makeLenAndOrder(x,ord)
.BinomCI.in(t,p.bi,x.i, del.i=0,D.i,n.i,alpha.i)
.BinomCI(x,p.b,D,n,alpha, silent0 = TRUE)
.BinomCI.nosym(x,p.b,D,n,alpha, silent0 = TRUE)
.q2kolmogorov(alpha,n,exact=(n<100), silent0 = TRUE)
.q2pw(x,p.b,D,n,alpha,exact=(n<100),nosym=FALSE, silent0 = TRUE)
.confqq(x,D, datax=FALSE, withConf.pw = TRUE, withConf.sim = TRUE, alpha,
col.pCI, lty.pCI, lwd.pCI, pch.pCI, cex.pCI,
col.sCI, lty.sCI, lwd.sCI, pch.sCI, cex.sCI,
n,exact.sCI=(n<100),exact.pCI=(n<100),
nosym.pCI = FALSE, with.legend = TRUE,
legend.bg = "white", legend.pos = "topleft",
legend.cex = 0.8, legend.pref = "", legend.postf = "",
legend.alpha = alpha, qqb0 = NULL, transf0=NULL, debug = FALSE)
.deleteItemsMCL(mcl)
.distrExInstalled

x 
a (numeric) vector 
gapm 
matrix; the gap matrix as in slot 
tol 
numeric; tolerance for separating points. 
D 
object of class 
datax 
logical; (to be used in distrMod) shall data be plotted on xaxis? 
ord 
integer; the result of a call to 
alpha 
numeric in [0,1]; confidence level 
n 
integer; sample size 
exact 
logical; shall finite sample version be used? 
t 
current (half of the) width of the confidence interval. 
p.bi 
(local) (binomial) c.d.f. value at 
x.i 
a (numeric) vector 
del.i 
numeric; a (local) asymmetry parameter to pass on to

D.i 
object of class 
n.i 
integer; (local) sample size 
alpha.i 
numeric in [0,1]; (local) confidence level 
p.b 
(binomial) c.d.f. value at 
nosym 
logical; shall we compute shortest (asymmetric) confidence intervals; 
withConf.pw 
logical; shall pointwise confidence lines be plotted? 
withConf.sim 
logical; shall simultaneous confidence lines be plotted? 
exact.pCI 
logical; shall pointwise CIs be determined with exact Binomial distribution? 
exact.sCI 
logical; shall simultaneous CIs be determined with exact kolmogorov distribution? 
nosym.pCI 
logical; shall we use (shortest) asymmetric CIs? 
col.pCI 
color for the pointwise CI 
lty.pCI 
line type for the pointwise CI 
lwd.pCI 
line width for the pointwise CI 
pch.pCI 
symbol for points (for discrete mass points) in pointwise CI 
cex.pCI 
magnification factor for points (for discrete mass points) in pointwise CI 
col.sCI 
color for the simultaneous CI 
lty.sCI 
line type for the simultaneous CI 
lwd.sCI 
line width for the simultaneous CI 
pch.sCI 
symbol for points (for discrete mass points) in simultaneous CI 
cex.sCI 
magnification factor for points (for discrete mass points) in simultaneous CI 
with.legend 
logical; shall a legend be plotted? 
legend.bg 
background color for the legend 
legend.pos 
position for the legend 
legend.cex 
magnification factor for the legend 
legend.pref 
character to be prepended to legend text 
legend.postf 
character to be appended to legend text 
legend.alpha 
nominal coverage probability 
mcl 
arguments in call as a list 
qqb0 
precomputed return value of 
transf0 
optional transformation of xvalues (by default 
debug 
logical; if 
silent0 
logical; it is used as argument 
.inGaps
produces a logical vector of same length as x
with
entries TRUE
if the corresponding component of x
lies within a
gap as given by gap matrix gapm
and FALSE
otherwise.
.isReplicated
produces a logical vector of same length as x
with
entries TRUE
if the corresponding component of x
appears at least
twice within x
and FALSE
otherwise.
.NotInSupport
produces a logical vector of same length as x
with
entries TRUE
if the corresponding component of x
does not
lie within the support of D
and FALSE
otherwise.
.SingleDiscrete
produces a numerical vector of same length as x
with
values 0
if the corresponding component of x
is discrete mass point
of D
, 1
if the corresponding component of x
lies within
the continuous support of D
, 2
and 3
if the corresponding component of x
is a left resp. right end point of a gap of D
, and 4
if
the corresponding component of x
does not lie within the support of D
at all.
.makeLenAndOrder
by standard recycling roules respectively by truncation
at the end, forces x
to length length{ord}
and then orders the
result according to ord
.
.q2kolmogorov
, in the finite sample version (exact==TRUE
),
returns the corresponding alpha
quantile
of the exact Kolmogorov distribution multiplied by sqrt(n), and
in the asymptotic version (exact==FALSE
),
the the corresponding (upper) alpha
quantile
of the asymptotic Kolmogorov distribution. Doing so we make use of
Cfunction "pkolmogorov2x"
(from ks.test
in package stats)
and Rfunction pkstwo
(again from ks.test
in package stats).
.BinomCI.in
in a nonvectorized form, computes,
for given t
, x
, \code{alpha}, \code{del},
and for X distributed as D, the discrepancy
P(sqrt(n) abs(Xxdel) <= t)  alpha
.BinomCI
, in a vectorized form, computes,
for given x
, \code{alpha}, \code{del},
values t
such that,
pointwise in x
and for X distributed as D,
P(sqrt(n) abs(Xxdel) <= t) = alpha
.BinomCI.nosym
, in an outer loop, by varying del
in the former
formula, tries to minimize the length of
a corresponding level alpha confidence interval containing the estimate.
.q2pw
computes pointwise finite sample or asymptotic confidence widths
by means of binomial probabilities / quantiles, in the former case either
symmetric (default) or shortest asymmetric; in the asymptotic case, for
distributions without a Lebesgue density, for the corresponding
density value at the quantile appearing in the expression for the
asymptotic variance, we make an approximation of (DE(D))/sd(D)
by
the standard normal, using the density of the latter one; this latter approximation
is only available if .distrExInstalled == TRUE
; otherwise the corresponding
columns will be filled with NA
.
.confqq
calls qqbound
to compute the confidence intervals
and plots them; returns the return value of qqbound.
.deleteItemsMCL
deletes arguments from a call list which
functions like plot
, lines
, points
cannot digest;
this is necessary in the manipulation of an original call
to a specific qqplot
method to pass on the ...
argument
correctly to calls the mentioned functions.
.distrExInstalled
is a constant logical — TRUE
if package
distrEx is installed.
.inGaps 
a logical vector of same length as 
.isReplicated 
a logical vector of same length as 
.NotInSupport 
a logical vector of same length as 
.SingleDiscrete 
a vector of same length as 
.makeLenAndOrder 
a numeric of length 
.BinomCI.in 
a numeric of length 1: the discrepancy P(sqrt(n) abs(Xxdel) <= t)  alpha 
.BinomCI 
a numeric matrix with two columns 
.BinomCI.nosym 
a numeric matrix with two columns 
.q2kolmogorov 
a numeric of length 1; a corresponding quantile of the (exact/asymptotic) Kolmogorov distribution 
.q2pw 
a numeric matrix with two columns 
.confqq 

.deleteItemsMCL 
the manipulated list of arguments 
Peter Ruckdeschel [email protected],
ks.test
, qqplot
, qqplot
, qqplot
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