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Statistics
Riemann Area Optimization and Histogram Construction
(m13108)
Author:
Leif Anderson
Keywords:
Area
,
Frequency Distribution
,
Histogram
,
Optimization
,
Riemann
,
Statistical Analysis
Summary:
The purpose of this module is to assist histogram design. The module presents an integral in terms of the Riemann sum equation for finding the area of a data-set. It builds on an associative technique (from a discrete to continuous function) suggested by the sub-interval in the delta ... frequency distribution.
[Expand Summary]
The purpose of this module is to assist histogram design. The module presents an integral in terms of the Riemann sum equation for finding the area of a data-set. It builds on an associative technique (from a discrete to continuous function) suggested by the sub-interval in the delta-x and bin number in the histogram. The resulting area spectrum contains possible areas and an actual area for a data-set. The module concludes with statements on the possible optimization of the integral by calculating the actual area. Building a histogram in this way may imply compression qualities for variance in the data-set frequency distribution.
[Collapse Summary]
Subject:
Mathematics and Statistics
Language:
English
Popularity:
65.00%
Revised:
2005-11-30
Revisions:
4
Riemann Integral Reiteration
(m13110)
Author:
Leif Anderson
Keywords:
Eigenfunction
,
Eigenvalue
,
Eigenvector
,
Riemann Integral
Summary:
The notes contained herein outline the delta-x of the Riemann sum equation transformation into a function used to find the area spectrum of a data set. The transformation uses an eigenfunction by expanding the data set arrays into eigenvecotrs.
Subject:
Mathematics and Statistics
Language:
English
Popularity:
44.50%
Revised:
2005-11-30
Revisions:
3
The Function Integral and Area
(m13109)
Author:
Leif Anderson
Keywords:
Integral
,
Riemann
,
Sub-interval
Summary:
Introduction to a fundatmental principle of integral calculus- the area of a function.
Subject:
Mathematics and Statistics
Language:
English
Popularity:
89.93%
Revised:
2005-11-18
Revisions:
2
Popularity is measured as percentile rank of page views/day over all time
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