FrequencyTableOL(SeriesCollection,Double[]) Method

Calculates the frequency table with respect to the open left boundary convention for YValues of the series.

Syntax

Visual Basic
C#

'Declaration
 
Public Overloads Shared Function FrequencyTableOL( _
   ByVal sc As SeriesCollection, _
   ByVal boundaries() As Double _
) As SeriesCollection

'Usage
 
Dim sc As SeriesCollection
Dim boundaries() As Double
Dim value As SeriesCollection
 
value = StatisticalEngine.FrequencyTableOL(sc, boundaries)

public static SeriesCollection FrequencyTableOL( 
   SeriesCollection sc,
   double[] boundaries
)

Parameters

sc: A collection of series objects. For example, to evaluate this indicator for two series you will need to pass a series collection containing this two series.
boundaries: A strictly increasing sequence of boundaries of the intervals over the real line in which the data sets point will be assigned.

Remarks

Say for example the boundary points used are {b_1, b_2, ..., b_n}, now the first term of the array returned which represents the frequency table, is the number of elements from the data set within the interval (-infinity, b_1), the second term of the array returned is the number of elements from the data set within the interval [b_1, b_2), and so on...

Example

Consider the set of boundaries { 1, 2, 3, 4, 5 }, which divide the real line into six sub-intervals. Now if we use the open left boundary convention then the real line will be divided into the sub-intervals:

(-infinity, 1], (1,2], (2,3], (3,4], (4,5], (5, infinity)

Note that, each point on the real line can be assigned to one of these sub-intervals and therefore when assigning a data point to one of these intervals there will only be one sub-interval in which it belongs.

Therefore, if we consider the data set { 0.5, 1.4, 1.3, 2.0, 2.3, 4.5, 5.5}, if the assign this data set in accordance with the above the conventions then we will have: using Open Left Boundary (OLB) convention:

Within the interval (-infinity, 1], we assign the data element 0.5; and hence the frequency of this interval is 1.
Within the interval (1, 2], we assign the data element 1.4, 1.3, 2.0; and hence the frequency of this interval (wrt OLB convention) is 3.
Within the interval (2, 3], we assign the data element 2.3, and hence the frequency of this interval (wrt OLB convention) is 1.
Within the interval (3, 4], we assign no data elements, and hence the frequency of this interval (wrt OLB convention) is 0.
Within the interval (4, 5], we assign the data element 4.5, and hence the frequency of this interval (wrt OLB convention) is 1.
Within the interval (5, infinity), we assign the data element 5.5, and hence the frequency of this interval (wrt OLB convention) is 1.

Hence, in this case the series returned corresponding to the frequency table will be {1, 3, 1, 0, 1, 1}.

Requirements

Target Platforms: Windows 7, Windows Vista SP1 or later, Windows XP SP3, Windows Server 2008 (Server Core not supported), Windows Server 2008 R2 (Server Core supported with SP1 or later), Windows Server 2003 SP2

Reference

StatisticalEngine Class
StatisticalEngine Members
Overload List