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Abstract Details
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Activity Number:
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43
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Type:
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Contributed
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Date/Time:
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Sunday, July 31, 2011 : 2:00 PM to 3:50 PM
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Sponsor:
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General Methodology
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| Abstract - #302952 |
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Title:
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A Basic Conceptual System of Statistics and Several Universal Random Measurements
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Author(s):
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Ligong Chen*+
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Companies:
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USUHS
, USUHS
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Address:
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1014 Julian Place, Rockville, MD, 20852,
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Keywords:
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Sample space ;
Scale space ;
Random correspondence ;
Differentiality ;
Similarity ;
Linkage coefficient
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Abstract:
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This paper attempts to contribute a rigorous conceptual system by adding some new concepts and adjusting the connotations of several existing concepts in the Probability Theory. A major change is to define "sample space" as the sample itself and to add a new concept "scale space" to replace the Kolmogorov's sample space. Additionally, the author defines "measurable space" as a space in which every point is measurable over a defined scale space, and "probability space" is defined over a complete sample space with its scale space. These additions and adjustments are useful and necessary for eliminating all confusion that afflicts the current system. The proposed changes will neither cause a significant impact to the system nor violate the laws of the Theory of Set in Mathematics but may bring us a clearer and better understanding on the whole system that related to Statistics. This paper i
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Authors who are presenting talks have a * after their name.
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