METHOD FOR COMPARING A VALUE TO A THRESHOLD IN THE PRESENCE OF UNCERTAINTY
First Claim
1. A method for measuring comprising:
- measuring a physical property to obtain a measured value;
calculating a distribution of actual values for the physical property;
calculating an error distribution of the measured value;
calculating a penalty associated with an erroneous decision to be made based at least in part on the measured value; and
determining a margin of error in the measured value to be accounted for in making said decision based at least in part on the measured value, said determining based on an expected loss from selecting at least one possible actual value as a function of the calculated distribution of actual values, the calculated error distribution of the measured value, and the calculated penalty associated with an erroneous decision.
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Accused Products
Abstract
A method for deciding the relationship between a physical property and a threshold, comprising measuring a physical property to obtain a measured value, calculating the distribution of actual values for the physical property, calculating the error distribution of the obtained measured value, calculating the penalty associated with an erroneous decision, and calculating a margin based on the expected loss from selecting at least one possible actual value as a function of the calculated distribution of actual values, the calculated error distribution of the measured value, and the calculated penalty associated with an erroneous decision. Embodiments including a system and apparatus are also disclosed.
9 Citations
20 Claims
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1. A method for measuring comprising:
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measuring a physical property to obtain a measured value;
calculating a distribution of actual values for the physical property;
calculating an error distribution of the measured value;
calculating a penalty associated with an erroneous decision to be made based at least in part on the measured value; and
determining a margin of error in the measured value to be accounted for in making said decision based at least in part on the measured value, said determining based on an expected loss from selecting at least one possible actual value as a function of the calculated distribution of actual values, the calculated error distribution of the measured value, and the calculated penalty associated with an erroneous decision. - View Dependent Claims (2, 3, 4, 5, 6, 7)
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8. A computer program product comprising computer-readable code stored on computer-readable medium, said computer program product comprising:
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code for receiving a measured value of a physical property;
code for calculating a distribution of actual values of the physical property;
code for calculating an error distribution of the measured value;
code for calculating a penalty associated with an erroneous decision to be made based at least in part on the measured value;
code for determining a margin of inaccuracy in the measured value to be accounted for in making the decision based at least in part on the measured value, said determining based on an expected loss from selecting at least one possible actual value as a function of the calculated distribution of actual values, the calculated error distribution of the measured value, and the calculated penalty associated with an erroneous decision. - View Dependent Claims (9, 10, 11, 12, 13)
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14. An apparatus comprised of a computing device having at least one central processing unit and a memory coupled to said central processing unit, said computing device further comprising:
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means for measuring a physical property to obtain a measured value; and
means for selecting a margin of inaccuracy in the measured value to be accounted for in making a decision based at least in part on the measured value, said selecting based at least in part on an expected loss calculated from a distribution of actual values for the physical property, an error distribution of the measured value, and a penalty associated with said decision being erroneous. - View Dependent Claims (15, 16, 17, 18, 19, 20)
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Specification