ListOfTallies< E extends Tally > Class Template Reference

Represents a list of tally statistical collectors. More...

Inheritance diagram for ListOfTallies< E extends Tally >:

Collaboration diagram for ListOfTallies< E extends Tally >:

Public Member Functions
	ListOfTallies ()
	Constructs a new empty list of tallies.
	ListOfTallies (String name)
	Constructs a new empty list of tallies with name name. More...
void	add (double[] x)
	Adds the observation x[i] in tally i of this list, for i = 0,…, size() - 1. More...
int	numberObs ()
	Assuming that each tally in this list contains the same number of observations, returns the number of observations in tally 0, or 0 if this list is empty. More...
boolean	areAllNumberObsEqual ()
	Tests that every tally in this list contains the same number of observations. More...
void	average (double[] r)
	Computes the average for each tally in this list, and stores the averages in the array r. More...
void	variance (double[] v)
	For each tally in this list, computes the sample variance, and stores the variances into the array v. More...
void	standardDeviation (double[] std)
	For each tally in this list, computes the sample standard deviation, and stores the standard deviations into the array std. More...
double	covariance (int i, int j)
	Returns the empirical covariance of the observations in tallies with indices i and j. More...
double	correlation (int i, int j)
	Returns the empirical correlation between the observations in tallies with indices i and j. More...
void	covariance (DoubleMatrix2D c)
	Constructs and returns the sample covariance matrix for the tallies in this list. More...
void	correlation (DoubleMatrix2D c)
	Similar to covariance(DoubleMatrix2D) for computing the sample correlation matrix. More...
ListOfTallies< E >	clone ()
	Clones this object. More...
Public Member Functions inherited from ListOfStatProbes< E >
	ListOfStatProbes ()
	Constructs an empty list of statistical probes.
	ListOfStatProbes (String name)
	Constructs an empty list of statistical probes with name name. More...
String	getName ()
	Returns the global name of this list of statistical probes. More...
void	setName (String name)
	Sets the global name of this list to name. More...
boolean	isModifiable ()
	Determines if this list of statistical probes is modifiable, i.e., if probes can be added or removed. More...
void	setUnmodifiable ()
	Forbids any future modification to this list of statistical probes. More...
void	init ()
	Initializes this list of statistical probes by calling umontreal.ssj.stat.StatProbe.init on each element.
void	sum (double[] s)
	For each probe in the list, computes the sum by calling umontreal.ssj.stat.StatProbe.sum, and stores the results into the array s. More...
void	average (double[] a)
	For each probe in this list, computes the average by calling umontreal.ssj.stat.StatProbe.average, and stores the results into the array a. More...
boolean	isCollecting ()
	Determines if this list of statistical probes is collecting values. More...
void	setCollecting (boolean c)
	Sets the status of the statistical collecting mechanism to c. More...
boolean	isBroadcasting ()
	Determines if this list of statistical probes is broadcasting observations to registered observers. More...
void	setBroadcasting (boolean b)
	Sets the status of the observation broadcasting mechanism to b. More...
void	addArrayOfObservationListener (ArrayOfObservationListener l)
	Adds the observation listener l to the list of observers of this list of statistical probes. More...
void	removeArrayOfObservationListener (ArrayOfObservationListener l)
	Removes the observation listener l from the list of observers of this list of statistical probes. More...
void	clearArrayOfObservationListeners ()
	Removes all observation listeners from the list of observers of this list of statistical probes.
void	notifyListeners (double[] x)
	Notifies the observation x to all registered observers if broadcasting is ON. More...
String	report ()
	Formats a report for each probe in the list of statistical probes. More...
ListOfStatProbes< E >	clone ()
	Clones this object. More...
boolean	add (E o)
void	add (int index, E o)
boolean	addAll (Collection<? extends E > c)
boolean	addAll (int index, Collection<? extends E > c)
void	clear ()
boolean	contains (Object o)
boolean	containsAll (Collection<?> c)
boolean	equals (Object o)
E	get (int index)
int	hashCode ()
int	indexOf (Object o)
boolean	isEmpty ()
Iterator< E >	iterator ()
int	lastIndexOf (Object o)
ListIterator< E >	listIterator ()
ListIterator< E >	listIterator (int index)
E	remove (int index)
boolean	remove (Object o)
boolean	removeAll (Collection<?> c)
boolean	retainAll (Collection<?> c)
E	set (int index, E element)
int	size ()
List< E >	subList (int fromIndex, int toIndex)
Object []	toArray ()

Static Public Member Functions
static ListOfTallies< Tally >	createWithTally (int size)
	This factory method constructs and returns a list of tallies with size instances of umontreal.ssj.stat.Tally. More...
static ListOfTallies< TallyStore >	createWithTallyStore (int size)
	This factory method constructs and returns a list of tallies with size instances of umontreal.ssj.stat.TallyStore. More...
static ListOfTallies< TallyStore >	createWithTallyStore (int size, int t)
	This factory method constructs and returns a list of tallies with size instances of umontreal.ssj.stat.TallyStore, each of size \(t\). More...

Additional Inherited Members
Protected Attributes inherited from ListOfStatProbes< E >
boolean	collect
boolean	broadcast
String	name
Package Functions inherited from ListOfStatProbes< E >
public< T > T []	toArray (T[] a)

Detailed Description

Represents a list of tally statistical collectors.

Each element of the list is an instance of umontreal.ssj.stat.Tally, and a vector of observations can be added with the #add(double[]) method. This class defines factory methods to fill a newly-constructed list with Tally or TallyStore instances.

Constructor & Destructor Documentation

ListOfTallies()

ListOfTallies

(

String

name

)

Constructs a new empty list of tallies with name name.

Parameters

name	the name of the new list.

Member Function Documentation

add()

void add

(

double []

x

)

Adds the observation x[i] in tally i of this list, for i = 0,…, size() - 1.

No observation is added if the value is Double.NaN, or if collecting is turned OFF. If broadcasting is ON, the given array is notified to all registered observers. The given array x not being stored by this object, it can be freely used and modified after the call to this method.

Parameters

x	the array of observations.

Exceptions

NullPointerException	if x is null.
IllegalArgumentException	if the length of x does not correspond to size().

areAllNumberObsEqual()

boolean areAllNumberObsEqual

(

)

Tests that every tally in this list contains the same number of observations.

This returns true if and only if all tallies have the same number of observations, or if this list is empty. If observations are always added using the #add(double[]) method from this class, and not umontreal.ssj.stat.Tally.add(double) from umontreal.ssj.stat.Tally, this method always returns true.

Returns

the success indicator of the test.

average()

void average

(

double []

r

)

Computes the average for each tally in this list, and stores the averages in the array r.

If the tally i has no observation, the Double.NaN value is stored in the array, at index i.

clone()

ListOfTallies<E> clone

(

)

Clones this object.

This makes a shallow copy of this list, i.e., this does not clone all the tallies in the list. The created clone is modifiable, even if the original list is unmodifiable.

correlation() [1/2]

double correlation	(	int	i,
		int	j
	)

Returns the empirical correlation between the observations in tallies with indices i and j.

If the tally i contains a sample of the random variate \(X\) and the tally j contains a sample of \(Y\), this corresponds to

\[ \mathrm{Cor}(X, Y)=\mathrm{Cov}(X, Y) /\sqrt{\mathrm{Var}(X)\mathrm{Var}(Y)}. \]

This method uses covariance(int,int) to obtain an estimate of the covariance, and umontreal.ssj.stat.Tally.variance in class umontreal.ssj.stat.Tally to obtain the sample variances.

Parameters

i	the index of the first tally.
j	the index of the second tally.

Returns

the value of the correlation.

Exceptions

ArrayIndexOutOfBoundsException

if one or both indices are out of bounds.

correlation() [2/2]

void correlation

(

DoubleMatrix2D

c

)

Similar to covariance(DoubleMatrix2D) for computing the sample correlation matrix.

Parameters

c	the matrix to be filled with the correlations.

Exceptions

NullPointerException	if c is null.
IllegalArgumentException	if the number of rows or columns in c does not correspond to umontreal.ssj.stat.list.ListOfStatProbes.size.

covariance() [1/2]

double covariance	(	int	i,
		int	j
	)

Returns the empirical covariance of the observations in tallies with indices i and j.

If \(x_1,…,x_n\) represent the observations in tally i whereas \(y_1,…,y_n\) represent the observations in tally j, then the covariance is given by

\[ S_{X, Y} = \frac{1}{n-1}\sum_{k=1}^n (x_k - \bar{X}_n)(y_k - \bar{Y}_n) = \frac{1}{n-1}\left(\sum_{k=1}^n x_ky_k - \frac{1}{n} \sum_{k=1}^n x_k\sum_{r=1}^n y_r\right). \]

This returns Double.NaN if the tallies do not contain the same number of observations, or if they contain less than two observations. This method throws an exception if the underlying tallies are not capable of storing observations, i.e. if the tallies are not TallyStores. The ListOfTalliesWithCovariance subclass provides an alternative implementation of this method which does not require the observations to be stored.

Parameters

i	the index of the first tally.
j	the index of the second tally.

Returns

the value of the covariance.

Exceptions

ArrayIndexOutOfBoundsException

if one or both indices are out of bounds.

covariance() [2/2]

void covariance

(

DoubleMatrix2D

c

)

Constructs and returns the sample covariance matrix for the tallies in this list.

The given \(d\times d\) matrix c, where \(d=\) size(), is filled with the computed sample covariances. Element c.get (i, j) corresponds to the result of covariance (i, j).

Parameters

c	the matrix to be filled with the sample covariances.

Exceptions

NullPointerException	if c is null.
IllegalArgumentException	if the number of rows or columns in c does not correspond to size().

createWithTally()

static ListOfTallies<Tally> createWithTally ( int  size )

static

This factory method constructs and returns a list of tallies with size instances of umontreal.ssj.stat.Tally.

Parameters

size	the size of the list.

Returns

the created list.

createWithTallyStore() [1/2]

static ListOfTallies<TallyStore> createWithTallyStore ( int  size )

static

This factory method constructs and returns a list of tallies with size instances of umontreal.ssj.stat.TallyStore.

Parameters

size	the size of the list.

Returns

the created list.

createWithTallyStore() [2/2]

static ListOfTallies<TallyStore> createWithTallyStore ( int  size, int  t  )

static

This factory method constructs and returns a list of tallies with size instances of umontreal.ssj.stat.TallyStore, each of size \(t\).

Parameters

size	the size of the list.
t	size of each TallyStore in this list.

Returns

the created list.

numberObs()

int numberObs

(

)

Assuming that each tally in this list contains the same number of observations, returns the number of observations in tally 0, or 0 if this list is empty.

Returns

the number of observations.

standardDeviation()

void standardDeviation

(

double []

std

)

For each tally in this list, computes the sample standard deviation, and stores the standard deviations into the array std.

This is equivalent to calling #variance(double[]) and performing a square root on every element of the filled array.

Parameters

std	the array to be filled with standard deviations.

Exceptions

NullPointerException	if std is null.
IllegalArgumentException	if std.length does not correspond to size().

variance()

void variance

(

double []

v

)

For each tally in this list, computes the sample variance, and stores the variances into the array v.

If, for some tally i, there are not enough observations for estimating the variance, Double.NaN is stored in the array.

Parameters

v	the array to be filled with sample variances.

Exceptions

NullPointerException	if v is null.
IllegalArgumentException	if v.length does not correspond to umontreal.ssj.stat.list.ListOfStatProbes.size.

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The documentation for this class was generated from the following file:

• ListOfTallies.java