Data processing: measuring – calibrating – or testing – Measurement system – Measured signal processing
Reexamination Certificate
2011-04-19
2011-04-19
Cosimano, Edward R (Department: 2857)
Data processing: measuring, calibrating, or testing
Measurement system
Measured signal processing
C702S187000
Reexamination Certificate
active
07930146
ABSTRACT:
Representations of data inversions are generated by alternate forms of maximum likelihood estimating which are rendered in correspondence with dependent coordinate mappings of path-oriented displacements. The dependent coordinate mappings are alternately considered to represent either path coincident deviations, path-oriented data-point projections. Normal displacements are rendered in normalized coordinates as a shortest distance between respective data samples and successive fitting function approximations. Deficiencies in representing likelihood as related to nonlinearities and heterogeneous precision are compensated by essential weighting of respectively mapped path-oriented displacements.
REFERENCES:
patent: 4709234 (1987-11-01), Forehand et al.
patent: 4889132 (1989-12-01), Hutcheson et al.
patent: 4920489 (1990-04-01), Hubelbank et al.
patent: 5263486 (1993-11-01), Jeffreys
patent: 5475628 (1995-12-01), Adams et al.
patent: 5568400 (1996-10-01), Stark et al.
patent: 5619432 (1997-04-01), Chandler
patent: 5652713 (1997-07-01), Chandler
patent: 5884245 (1999-03-01), Chandler
patent: 5982943 (1999-11-01), Hsu et al.
patent: 6181976 (2001-01-01), Chandler
patent: 7107048 (2006-09-01), Chandler
patent: 7225113 (2007-05-01), Rothschild
patent: 7280988 (2007-10-01), Helsper et al.
patent: 7383128 (2008-06-01), Chandler
patent: 2003/0139905 (2003-07-01), Helsper et al.
patent: 2003/0212528 (2003-11-01), Chandler
patent: 2004/0059518 (2004-03-01), Rothschild
patent: 2005/0114105 (2005-05-01), Barber
patent: 2006/0111844 (2006-05-01), Chandler
Ross, Regression Line Analysis, Am. J. Phys. 48(5) 409. May 1980.
Hull, Least-squares Method, Encyclopedia of Science, N.Y. pp. 648-649.
Elementary Concepts in Statistics, pp. 1-9. Copyright Statsoft Inc., 1984-2003. (.statsoft.com/textbook/esc.html).
Random Variable, pp. 1-4. (en.wikipedia.org/wiki/Random—variable), Aug. 12, 2007.
Statistical independence, pp. 1-3. (en.wikipedia.org/wiki/Statistical—independence), Sep. 27, 2007.
Tetruashvili, Complexity of the Decidability of the Unquantified Set Theory with a Rank Operator, Georgian Mathematical Journal, 1(1994), No. 5, 561-565.
Esobar & West, Computing Bayesian Nonparametric Hierarchical Models, Discussion Paper 92-A20, Feb. 4, 1998, pp. 1-21, Duke University, ISDS.
Coy, Shades of Isaac Newton, LexisNexis Academic. Science & Technology; Mathematics.
Smyth, Review of “Exponential Family Nonlinear Models” by Bo-Cheng Wei. Austral. J. Statist. 42, 500, 2000, pp. 1-2.
Squire, Comment on “Linear least-squares fits with errors in both coordinates,” by B.C. Reed. Am. J. Phys., vol. 58, No. 12, Dec. 1990.
Bendat, Modern Methods for Random Data Analysis, pp. 1-7.
Lybanon, Comment on “Least squares when both variables have uncertainties”, Am. J. Phys., vol. 52, No. 3, Mar. 1984. pp. 276-278.
Lybanon, A better least-squares method when both variables have uncertainties, Am. J. Phys. 52(1), Jan. 1984. pp. 22-26.
Reed, Linear least-squares fits with errors in both coordinates. II: Comments on parameter variances, Am. J. Phys. 60(1). Jan. 1992. pp. 59-62.
Press & Teukolsky, Fitting Straight Line Data with Errors in Both Coordinates, Computers in Physics, vol. 6, No. 3, May/Jun. 1992, pp. 274-276.
Reed, Linear Least-squares fits with errors in both coordinates, Am. J. Phys. 57(7), Jul. 1989. pp. 642-646.
Luecke & Britt, Parameter estimation with error in the observables, Am. J. Phys, vol. 43, No. 4, Apr. 1975, pp. 372-374.
Clutton-Brock, Likelihood Distributions for Estimating Functions when Both Variables are Subject to Error, Technometrics, vol. 9, No. 2, May 1967, pp. 261-269.
Modeling of Data, Numerical Recipes in Fortran 77: The Art of Scientific Computing (ISBN 0-521-43064-X). Chapter 15, pp. 650-700, 1992.
Kyriakides & Tzes, Adaptive Fuzzy Dominant-Pole Placement Control, Proceedings of the 31stConference on Decision & Control, Dec. 1992, pp. 2517-2522.
Fisher, On the Mathematical Foundations of Theoretical Statistics, Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, vol. 222(1992), 309-368.
York, Least-squares fitting of a straight line, Canadian Journal of Physics, vol. 44, 1996, pp. 1079-1086.
Barker & Diana, Simple method for fitting data when both variables have uncertainties, Am. J. Phys., vol. 42, Mar. 1974, pp. 224-227.
Nagy, Neural Networks—Then and Now IEEE Transactions on Neural Networks, vol. 2, No. 2, Mar. 1991, pp. 316-318.
El-Masry et al., Analog VLSI Current Mode Implementation of Artificial Neural Networks, IEEE, 1993, pp. 1275-1278.
Neri et al., Error-affected experimental data analysis: application to fitting procedures, Meas. Sci. Technol. 1 (1990) 1007-1010.
Bo & Yuhui, An Inverse-Deviation Threshold Approach in Neural Network Controllers, IEEE International Conference on Intelligent Processing Systems, 1997, pp. 407-409, Beijing, China.
Tzes & Kyriakides, Adaptive Fuzzy-Control for Flexible-Link Manipulators: a Hybrid Frequency-Time Domain Scheme, IEEE 1993, pp. 122-127.
Scharf, Total Least Squares, Addison-Wesley, N.Y. 1991, pp. 495-496.
Orear, Least squares when both variables have uncertainties, Am. J. Phys. 50(10), Oct. 1982, pp. 912-916.
Jefferys, On the Method of Least Squares, Astron. J. 85(2), Feb. 1980, pp. 177-181.
Jefferys, On the Method of Least Squares. II., Astron. J. 86(1), Jan. 1981, pp. 149-155.
Paveri-Fontana, A note on the random variable transformation theorem, Am. J. Phys., vol. 59, No. 9, Sep. 1991, pp. 854-856.
Neri et al., An accurate and straightforward approach to line regression analysis of error-affected experimental data, Journal of Physics, vol. 22, 1989, pp. 215-217.
MacDonald & Thompson, Least-squares fitting when both variables contain errors: Pitfalls and possibilities, Am. J. Phys. 60(1), Jan. 1992, pp. 66-72.
Press et al., Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, 1986. pp. 498-528.
Picot, Pocket calculator program for least-square fitting of data with variable precision, Am. J. Phys. 48(4), Apr. 1980, pp. 302-303.
Cosimano Edward R
Crowell & Moring LLP
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