SSJ
3.3.1
Stochastic Simulation in Java
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This class implements QQ-plot (or quantile-quantile plot) objects that compare two probability distributions. More...
Public Member Functions | |
QQPlot (String title, String XLabel, String YLabel, ContinuousDistribution dist, double[] X) | |
Constructs a new QQPlot instance using the points X . More... | |
QQPlot (String title, String XLabel, String YLabel, ContinuousDistribution dist, double[] X, int numPoints) | |
Similar to the constructor QQPlot(title, XLabel, YLabel, dist, X) above, except that only the first numPoints of X are plotted. More... | |
QQPlot (String title, String XLabel, String YLabel, ContinuousDistribution dist, double[][] data, int r) | |
Constructs a new QQPlot instance. More... | |
Public Member Functions inherited from XYLineChart | |
XYLineChart () | |
Initializes a new XYLineChart instance with an empty data set. | |
XYLineChart (String title, String XLabel, String YLabel, double[][]... data) | |
Initializes a new XYLineChart instance with sets of points data . More... | |
XYLineChart (String title, String XLabel, String YLabel, double[][] data, int numPoints) | |
Initializes a new XYLineChart instance with sets of points data . More... | |
XYLineChart (String title, String XLabel, String YLabel, double[][] data, int x, int y) | |
Initializes a new XYLineChart instance using subsets of data . More... | |
XYLineChart (String title, String XLabel, String YLabel, DoubleArrayList... data) | |
Initializes a new XYLineChart instance with data data . More... | |
XYLineChart (String title, String XLabel, String YLabel, XYSeriesCollection data) | |
Initializes a new XYLineChart instance with data data . More... | |
int | add (double[] x, double[] y, String name, String plotStyle) |
Adds a data series into the series collection. More... | |
int | add (double[] x, double[] y) |
Adds a data series into the series collection. More... | |
int | add (double[] x, double[] y, int numPoints) |
Adds a data series into the series collection. More... | |
int | add (double[][] data) |
Adds the new collection of data series data into the series collection. More... | |
int | add (double[][] data, int numPoints) |
Adds the new collection of data series data into the series collection. More... | |
XYListSeriesCollection | getSeriesCollection () |
Returns the chart’s dataset. More... | |
void | setSeriesCollection (XYListSeriesCollection dataset) |
Links a new dataset to the current chart. More... | |
void | setTicksSynchro (int s) |
Synchronizes \(X\)-axis ticks to the \(s\)-th series \(x\)-values. More... | |
JFrame | view (int width, int height) |
Displays chart on the screen using Swing. More... | |
JFrame | viewBar (int width, int height) |
Displays bar chart on the screen using Swing. More... | |
String | toLatex (double width, double height) |
Public Member Functions inherited from XYChart | |
JFreeChart | getJFreeChart () |
Returns the JFreeChart object associated with this chart. More... | |
Axis | getXAxis () |
Returns the chart’s domain axis ( \(x\)-axis) object. More... | |
Axis | getYAxis () |
Returns the chart’s range axis ( \(y\)-axis) object. More... | |
abstract JFrame | view (int width, int height) |
Displays chart on the screen using Swing. | |
String | getTitle () |
Gets the current chart title. More... | |
void | setTitle (String title) |
Sets a title to this chart. More... | |
void | setprobFlag (boolean flag) |
Must be set true when plotting probabilities, false otherwise. More... | |
void | setAutoRange () |
The \(x\) and the \(y\) ranges of the chart are set automatically. | |
void | setAutoRange (boolean right, boolean top) |
The \(x\) and the \(y\) ranges of the chart are set automatically. More... | |
void | setAutoRange00 (boolean xZero, boolean yZero) |
The \(x\) and the \(y\) ranges of the chart are set automatically. More... | |
void | setManualRange (double[] range) |
Sets the \(x\) and \(y\) ranges of the chart using the format: range = [xmin, xmax, ymin, ymax] . More... | |
void | setManualRange (double[] range, boolean right, boolean top) |
Sets the \(x\) and \(y\) ranges of the chart using the format: range = [xmin, xmax, ymin, ymax] . More... | |
void | setManualRange00 (double[] range, boolean xZero, boolean yZero) |
Sets the \(x\) and \(y\) ranges of the chart using the format: range = [xmin, xmax, ymin, ymax] . More... | |
double | getChartMargin () |
Returns the chart margin, which is the fraction by which the chart is enlarged on its borders. More... | |
void | setChartMargin (double margin) |
Sets the chart margin to margin . More... | |
abstract void | setTicksSynchro (int s) |
Synchronizes \(x\)-axis ticks to the \(s\)-th series \(x\)-values. More... | |
void | drawVerticalLine (double x, String name, double yfrac, boolean right) |
Draws a vertical line on the chart at \(x\)-coordinate x . More... | |
void | enableGrid (double xstep, double ystep) |
Puts a grid on the background. More... | |
void | disableGrid () |
Disables the background grid. | |
abstract String | toLatex (double width, double height) |
Exports the chart to a LaTeX source code using PGF/TikZ. More... | |
void | toLatexFile (String fileName, double width, double height) |
Transforms the chart to LaTeX form and writes it in file fileName . More... | |
void | setLatexDocFlag (boolean flag) |
Flag to remove the \documentclass (and other) commands in the created LaTeX files. More... | |
Additional Inherited Members | |
Protected Member Functions inherited from XYLineChart | |
void | init (String title, String XLabel, String YLabel) |
void | initAxis () |
Protected Member Functions inherited from XYChart | |
void | setAutoRange (boolean xZero, boolean yZero, boolean right, boolean top) |
void | setTick0Flags () |
double | computeXScale (double position) |
double | computeYScale (double position) |
double | computeScale (double[] bounds) |
Protected Attributes inherited from XYChart | |
Axis | XAxis |
Axis | YAxis |
SSJXYSeriesCollection | dataset |
JFreeChart | chart |
boolean | latexDocFlag = true |
boolean | autoRange |
double [] | manualRange |
boolean | grid = false |
double | xstepGrid |
double | ystepGrid |
boolean | probFlag = false |
double | chartMargin = 0.02 |
This class implements QQ-plot (or quantile-quantile plot) objects that compare two probability distributions.
The data is given as a list of \(x\)-coordinates \((x_1, x_2, …, x_n)\), and one is given a reference continuous probability distribution \(F(x)\). One first sorts the \(x_i\) in ascending order, then noted \(x_{(i)}\), and plots the points \((F^{-1}(p_i), x_{(i)})\), where \(i= 1, 2, …, n\) and \(p_i = (i- 1/2)/n\), to see if the data \(x_i\) comes from the reference distribution \(F(x)\). The graph of the straight line \(y=x\) is also plotted for comparison.
QQPlot | ( | String | title, |
String | XLabel, | ||
String | YLabel, | ||
ContinuousDistribution | dist, | ||
double [] | X | ||
) |
Constructs a new QQPlot
instance using the points X
.
title
is a title, XLabel
is a short description of the \(x\)-axis, and YLabel
a short description of the \(y\)-axis. The plot is a QQ-plot of the points \((F^{-1}(p_i), x_{(i)})\), \(i= 1, 2, …, n\), where \(p_i = (i- 1/2)/n\), \(x_i = \) X[
\(i\)-1]
, \(x_{(i)}\) are the sorted points, and \(x = F^{-1}(p) = \) dist.inverseF(
\(p\))
. The points X
are not sorted.
title | chart title. |
XLabel | Label on \(x\)-axis. |
YLabel | Label on \(y\)-axis. |
dist | Reference distribution |
X | points. |
QQPlot | ( | String | title, |
String | XLabel, | ||
String | YLabel, | ||
ContinuousDistribution | dist, | ||
double [] | X, | ||
int | numPoints | ||
) |
Similar to the constructor QQPlot(title, XLabel, YLabel, dist, X) above, except that only the first numPoints
of X
are plotted.
title | chart title. |
XLabel | Label on \(x\)-axis. |
YLabel | Label on \(y\)-axis. |
dist | Reference distribution |
X | point set. |
numPoints | number of points to plot |
QQPlot | ( | String | title, |
String | XLabel, | ||
String | YLabel, | ||
ContinuousDistribution | dist, | ||
double | data[][], | ||
int | r | ||
) |
Constructs a new QQPlot
instance.
title
is a title, XLabel
is a short description of the \(x\)-axis, and YLabel
a short description of the \(y\)-axis. The input vectors in data
represents several sets of \(x\)-points. \(r\) determine the set of points to be plotted in the QQ-plot, that is, one will plot only the points data[r][i]
, for \(i=0, 1, …, (n-1)\) and a given \(r\), where \(n\) is the number of points in set \(r\). The points are assumed to follow the distribution dist
.
title | chart title. |
XLabel | Label on \(x\)-axis. |
YLabel | Label on \(y\)-axis. |
dist | Reference distribution |
data | series of point sets. |
r | set of points to plot |