-
1
-
-
33750710863
-
Interval-valued and fuzzy-valued random variables: From computing sample variances to computing sample covariances
-
Lopez, M., Gil, M. A., Grzegorzewski, P., Hrynewicz, O., and Lawry, J. (eds), Springer-Verlag, Berlin-Heidelberg
-
Beck, J., Kreinovich, V., and Wu, B.: Interval-Valued and Fuzzy-Valued Random Variables: From Computing Sample Variances to Computing Sample Covariances, in: Lopez, M., Gil, M. A., Grzegorzewski, P., Hrynewicz, O., and Lawry, J. (eds), Soft Methodology and Random Information Systems, Springer-Verlag, Berlin-Heidelberg, 2004, pp. 85-92.
-
(2004)
Soft Methodology and Random Information Systems
, pp. 85-92
-
-
Beck, J.1
Kreinovich, V.2
Wu, B.3
-
2
-
-
0013449534
-
Automatically verified arithmetic on probability distributions and intervals
-
Kearfott, R. B. and Kreinovich, V. (eds), Kluwer Academic Publishers, Dordrecht
-
Berleant, D.: Automatically Verified Arithmetic on Probability Distributions and Intervals, in: Kearfott, R. B. and Kreinovich, V. (eds), Applications of Interval Computations, Kluwer Academic Publishers, Dordrecht, 1996.
-
(1996)
Applications of Interval Computations
-
-
Berleant, D.1
-
3
-
-
0002430403
-
Automatically verified arithmetic with both intervals and probability density functions
-
Berleant, D.: Automatically Verified Arithmetic with Both Intervals and Probability Density Functions, Interval Computations 2 (1993), pp. 48-70.
-
(1993)
Interval Computations
, vol.2
, pp. 48-70
-
-
Berleant, D.1
-
4
-
-
0000210906
-
Bounding the results of arithmetic operations on random variables of unknown dependency using intervals
-
Berleant, D. and Goodman-Strauss, C.: Bounding the Results of Arithmetic Operations on Random Variables of Unknown Dependency Using Intervals, Reliable Computing 4 (2) (1998), pp. 147-165.
-
(1998)
Reliable Computing
, vol.4
, Issue.2
, pp. 147-165
-
-
Berleant, D.1
Goodman-Strauss, C.2
-
5
-
-
0037380562
-
Statool: A tool for distribution envelope determination (DEnv), an interval-based algorithm for arithmetic on random variables
-
Berleant, D., Xie, L., and Zhang, J.: Statool: A Tool for Distribution Envelope Determination (DEnv), an Interval-Based Algorithm for Arithmetic on Random Variables, Reliable Computing 9 (2) (2003), pp. 91-108.
-
(2003)
Reliable Computing
, vol.9
, Issue.2
, pp. 91-108
-
-
Berleant, D.1
Xie, L.2
Zhang, J.3
-
6
-
-
0004116989
-
-
MIT Press, Cambridge
-
Cormen, Th. H., Leiserson, C. E., Rivest, R. L., and Stein, C.: Introduction to Algorithms, MIT Press, Cambridge, 2001.
-
(2001)
Introduction to Algorithms
-
-
Cormen, Th.H.1
Leiserson, C.E.2
Rivest, R.L.3
Stein, C.4
-
8
-
-
2642561526
-
Exact bounds on sample variance of interval data
-
Toronto
-
Ferson, S., Ginzburg, L., Kreinovich, V., and Aviles, M.: Exact Bounds on Sample Variance of Interval Data, in: Extended Abstracts of the 2002 SIAM Workshop on Validated Computing, Toronto, 2002, pp. 67-69.
-
(2002)
Extended Abstracts of the 2002 SIAM Workshop on Validated Computing
, pp. 67-69
-
-
Ferson, S.1
Ginzburg, L.2
Kreinovich, V.3
Aviles, M.4
-
9
-
-
6944238925
-
Computing variance for interval data is NP-hard
-
Ferson, S., Ginzburg, L., Kreinovich, V., Longpré, L., and Aviles, M.: Computing Variance for Interval Data Is NP-Hard, ACM SIGACT News 33 (2) (2002), pp. 108-118.
-
(2002)
ACM SIGACT News
, vol.33
, Issue.2
, pp. 108-118
-
-
Ferson, S.1
Ginzburg, L.2
Kreinovich, V.3
Longpré, L.4
Aviles, M.5
-
10
-
-
23944450631
-
Exact bounds on finite populations of interval data
-
Ferson, S., Ginzburg, L., Kreinovich, V., Longpré, L., and Aviles, M.: Exact Bounds on Finite Populations of Interval Data, Reliable Computing 11 (3) (2005), pp. 207-233.
-
(2005)
Reliable Computing
, vol.11
, Issue.3
, pp. 207-233
-
-
Ferson, S.1
Ginzburg, L.2
Kreinovich, V.3
Longpré, L.4
Aviles, M.5
-
11
-
-
0142140760
-
-
Technical Report, Applied Biomathematics
-
Person, S., Myers, D., and Berleant, D.: Distribution-Free Risk Analysis: I. Range, Mean, and Variance, Technical Report, Applied Biomathematics, 2001.
-
(2001)
Distribution-free Risk Analysis: I. Range, Mean, and Variance
-
-
Person, S.1
Myers, D.2
Berleant, D.3
-
14
-
-
33644850049
-
Novel approaches to numerical software with result verification
-
Alt, R., Frommer, A., Kearfott, R. B., and Luther, W. (eds), Numerical Software with Result Verification, (International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003)
-
Granvilliers, L., Kreinovich, V., and Müller, N.: Novel Approaches to Numerical Software with Result Verification, in: Alt, R., Frommer, A., Kearfott, R. B., and Luther, W. (eds), Numerical Software with Result Verification, (International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003), Springer Lectures Notes in Computer Science 2991, 2004, pp. 274-305.
-
(2004)
Springer Lectures Notes in Computer Science
, vol.2991
, pp. 274-305
-
-
Granvilliers, L.1
Kreinovich, V.2
Müller, N.3
-
15
-
-
0003543733
-
-
Cambridge University Press
-
Hardy, G. H., Littlewood, J. E., and Pólya, G.: Inequalities, Cambridge University Press, 1988.
-
(1988)
Inequalities
-
-
Hardy, G.H.1
Littlewood, J.E.2
Pólya, G.3
-
18
-
-
6944233967
-
Probabilities, intervals, what next? Optimization problems related to extension of interval computations to situations with partial information about probabilities
-
Kreinovich, V.: Probabilities, Intervals, What Next? Optimization Problems Related to Extension of Interval Computations to Situations with Partial Information about Probabilities, Journal of Global Optimization 29 (3) (2004), pp. 265-280.
-
(2004)
Journal of Global Optimization
, vol.29
, Issue.3
, pp. 265-280
-
-
Kreinovich, V.1
-
19
-
-
0003553371
-
-
Kluwer Academic Publishers, Dordrecht
-
Kreinovich, V., Lakeyev, A., Rohn, J., and Kahl, P.: Computational Complexity and Feasibility of Data Processing and Interval Computations, Kluwer Academic Publishers, Dordrecht, 1997.
-
(1997)
Computational Complexity and Feasibility of Data Processing and Interval Computations
-
-
Kreinovich, V.1
Lakeyev, A.2
Rohn, J.3
Kahl, P.4
-
20
-
-
33745327042
-
Computational complexity and feasibility of data processing and interval computations, with extension to cases when we have partial information about probabilities
-
Brattka, V., Schroeder, M., Weihrauch, K., and Zhong, N. (eds), Cincinnati, Ohio, USA, August 28-30
-
Kreinovich, V. and Longpré, L.: Computational Complexity and Feasibility of Data Processing and Interval Computations, with Extension to Cases When We Have Partial Information about Probabilities, in: Brattka, V., Schroeder, M., Weihrauch, K., and Zhong, N. (eds), Proc. Conf. on Computability and Complexity in Analysis CCA'2003, Cincinnati, Ohio, USA, August 28-30, 2003, pp. 19-54.
-
(2003)
Proc. Conf. on Computability and Complexity in Analysis CCA'2003
, pp. 19-54
-
-
Kreinovich, V.1
Longpré, L.2
-
21
-
-
10844277417
-
Fast quantum algorithms for handling probabilistic and interval uncertainty
-
Kreinovich, V. and Longpré, L.: Fast Quantum Algorithms for Handling Probabilistic and Interval Uncertainty, Mathematical Logic Quarterly 50 (4/5) (2004), pp. 507-518.
-
(2004)
Mathematical Logic Quarterly
, vol.50
, Issue.4-5
, pp. 507-518
-
-
Kreinovich, V.1
Longpré, L.2
-
22
-
-
33749621485
-
-
University of Texas at El Paso, Department of Computer Science, Technical Report UTEP-CS-03-14b
-
Kreinovich, V., Longpré, L., Ferson, S., and Ginzburg, L.: Computing Higher Central Moments for Interval Data, University of Texas at El Paso, Department of Computer Science, Technical Report UTEP-CS-03-14b, 2004, http://www.cs.utep.edu/vladik/2003/tr03-14b.pdf
-
(2004)
Computing Higher Central Moments for Interval Data
-
-
Kreinovich, V.1
Longpré, L.2
Ferson, S.3
Ginzburg, L.4
-
23
-
-
21144448871
-
Outlier detection under interval uncertainty: Algorithmic solvability and computational complexity
-
Lirkov, I., Margenov, S., Wasniewski, J., and Yalamov, P. (eds), Large-Scale Scientific Computing, Proceedings of the 4-th International Conference LSSC'2003, Sozopol, Bulgaria, June 4-8, 2003
-
Kreinovich, V., Longpré, L., Patangay, P., Ferson, S., and Ginzburg, L.: Outlier Detection under Interval Uncertainty: Algorithmic Solvability and Computational Complexity, in: Lirkov, I., Margenov, S., Wasniewski, J., and Yalamov, P. (eds), Large-Scale Scientific Computing, Proceedings of the 4-th International Conference LSSC'2003, Sozopol, Bulgaria, June 4-8, 2003, Springer Lecture Notes in Computer Science 2907, 2004, pp. 238-245.
-
(2004)
Springer Lecture Notes in Computer Science
, vol.2907
, pp. 238-245
-
-
Kreinovich, V.1
Longpré, L.2
Patangay, P.3
Ferson, S.4
Ginzburg, L.5
-
24
-
-
17444398604
-
Outlier detection under interval uncertainty: Algorithmic solvability and computational complexity
-
Kreinovich, V., Longpré, L., Patangay, P., Ferson, S., and Ginzburg, L.: Outlier Detection under Interval Uncertainty: Algorithmic Solvability and Computational Complexity, Reliable Computing 11(1) (2005), pp. 59-76.
-
(2005)
Reliable Computing
, vol.11
, Issue.1
, pp. 59-76
-
-
Kreinovich, V.1
Longpré, L.2
Patangay, P.3
Ferson, S.4
Ginzburg, L.5
-
25
-
-
34249336004
-
On-line algorithms for computing mean and variance of interval data, and their use in intelligent systems
-
in press
-
Kreinovich, V., Nguyen, H. T., and Wu, B.: On-Line Algorithms for Computing Mean and Variance of Interval Data, and Their Use in Intelligent Systems, Information Sciences (in press).
-
Information Sciences
-
-
Kreinovich, V.1
Nguyen, H.T.2
Wu, B.3
-
26
-
-
33750698422
-
Outlier detection under interval and fuzzy uncertainty: Algorithmic solvability and computational complexity
-
Chicago, Illinois, July 24-26
-
Kreinovich, V., Patangay, P., Longpré, L., Starks, S. A., Campos, C., Ferson, S., and Ginzburg, L.: Outlier Detection Under Interval and Fuzzy Uncertainty: Algorithmic Solvability and Computational Complexity, in: Proceedings of the 22nd International Conference of the North American Fuzzy Information Processing Society NAFIPS'2003, Chicago, Illinois, July 24-26, 2003, pp. 401-406.
-
(2003)
Proceedings of the 22nd International Conference of the North American Fuzzy Information Processing Society NAFIPS'2003
, pp. 401-406
-
-
Kreinovich, V.1
Patangay, P.2
Longpré, L.3
Starks, S.A.4
Campos, C.5
Ferson, S.6
Ginzburg, L.7
-
28
-
-
0037382015
-
Estimating and validating the cumulative distribution of a function of random variables: Toward the development of distribution arithmetic
-
Lodwick, W A. and Jamison, K. D.: Estimating and Validating the Cumulative Distribution of a Function of Random Variables: Toward the Development of Distribution Arithmetic, Reliable Computing 9 (2) (2003), pp. 127-141.
-
(2003)
Reliable Computing
, vol.9
, Issue.2
, pp. 127-141
-
-
Lodwick, W.A.1
Jamison, K.D.2
-
29
-
-
84942563991
-
Fast quantum algorithms for handling probabilistic, interval, and fuzzy uncertainty
-
Chicago, Illinois, July 24-26
-
Martinez, M., Longpié, L., Kreinovich, V., Starks, S. A., and Nguyen, H. T.: Fast Quantum Algorithms for Handling Probabilistic, Interval, and Fuzzy Uncertainty, in: Proceedings of the 22nd International Conference of the North American Fuzzy Information Processing Society NAFIPS'2003, Chicago, Illinois, July 24-26, 2003, pp. 395-400.
-
(2003)
Proceedings of the 22nd International Conference of the North American Fuzzy Information Processing Society NAFIPS'2003
, pp. 395-400
-
-
Martinez, M.1
Longpié, L.2
Kreinovich, V.3
Starks, S.A.4
Nguyen, H.T.5
-
30
-
-
0037399671
-
Interval analysis and fuzzy set theory
-
Moore, R. E. and Lodwick, W. A.: Interval Analysis and Fuzzy Set Theory, Fuzzy Sets and Systems 135 (1) (2003), pp. 5-9.
-
(2003)
Fuzzy Sets and Systems
, vol.135
, Issue.1
, pp. 5-9
-
-
Moore, R.E.1
Lodwick, W.A.2
-
31
-
-
0013323413
-
Which algorithms are feasible and which are not depends on the geometry of space-time
-
Morgenstein, D. and Kreinovich, V.: Which Algorithms Are Feasible and Which Are Not Depends on the Geometry of Space-Time, Geombinatorics 4 (3) (1995), pp. 80-97.
-
(1995)
Geombinatorics
, vol.4
, Issue.3
, pp. 80-97
-
-
Morgenstein, D.1
Kreinovich, V.2
-
32
-
-
0002161065
-
Nested intervals and sets: Concepts, relations to fuzzy sets, and applications
-
Kearfott, R. B. and Kreinovich, V. (eds), Kluwer Academic Publishers, Dordrecht
-
Nguyen, H. T. and Kreinovich, V.: Nested Intervals and Sets: Concepts, Relations to Fuzzy Sets, and Applications, in: Kearfott, R. B. and Kreinovich, V. (eds), Applications of Interval Computations, Kluwer Academic Publishers, Dordrecht, 1996, pp. 245-290.
-
(1996)
Applications of Interval Computations
, pp. 245-290
-
-
Nguyen, H.T.1
Kreinovich, V.2
-
34
-
-
33750744593
-
Towards foundations of processing imprecise data: From traditional statistical techniques of processing crisp data to statistical processing of fuzzy data
-
Liu, Y., Chen, G., Ying, M., and Cai, K.-Y. (eds), Beijing, China, March 1-4
-
Nguyen, H. T., Wang, T., and Kreinovich, V., Towards Foundations of Processing Imprecise Data: From Traditional Statistical Techniques of Processing Crisp Data to Statistical Processing of Fuzzy Data, in: Liu, Y., Chen, G., Ying, M., and Cai, K.-Y. (eds), Proceedings of the International Conference on Fuzzy Information Processing: Theories and Applications FIP'2003, Beijing, China, March 1-4, 2003, Vol. II, pp. 895-900.
-
(2003)
Proceedings of the International Conference on Fuzzy Information Processing: Theories and Applications FIP'2003
, vol.2
, pp. 895-900
-
-
Nguyen, H.T.1
Wang, T.2
Kreinovich, V.3
-
35
-
-
0033700898
-
Shadows of fuzzy sets - A natural approach towards describing 2-D and multi-D fuzzy uncertainty in linguistic terms
-
San Antonio, Texas, May 7-10
-
Nguyen, H. T., Wu, B., and Kreinovich, V.: Shadows of Fuzzy Sets - A Natural Approach Towards Describing 2-D and Multi-D Fuzzy Uncertainty in Linguistic Terms, in: Proc. 9th IEEE Int'l Conference on Fuzzy Systems FUZZ-IEEE'2000, San Antonio, Texas, May 7-10, 2000, Vol. 1, pp. 340-345.
-
(2000)
Proc. 9th IEEE Int'l Conference on Fuzzy Systems FUZZ-IEEE'2000
, vol.1
, pp. 340-345
-
-
Nguyen, H.T.1
Wu, B.2
Kreinovich, V.3
-
36
-
-
34249064952
-
A new methodology to account for uncertainties in 4-D seismic interpretation
-
San Antonio, TX, September 9-14
-
Nivlet, P., Fournier, F., and Royer, J.: A New Methodology to Account for Uncertainties in 4-D Seismic Interpretation, in: Proc. 71st Annual Int'l Meeting of Soc. of Exploratory Geophysics SEG'2001, San Antonio, TX, September 9-14, 2001, pp. 1644-1647.
-
(2001)
Proc. 71st Annual Int'l Meeting of Soc. of Exploratory Geophysics SEG'2001
, pp. 1644-1647
-
-
Nivlet, P.1
Fournier, F.2
Royer, J.3
-
37
-
-
1142266530
-
Propagating interval uncertainties in supervised pattern recognition for reservoir characterization
-
New Orleans, LA, September 30-October 3, paper SPE-71327
-
Nivlet, P., Fournier, F., and Royer, J.: Propagating Interval Uncertainties in Supervised Pattern Recognition for Reservoir Characterization, in: Proc. 2001 Society of Petroleum Engineers Annual Conf. SPE'2001, New Orleans, LA, September 30-October 3, 2001, paper SPE-71327.
-
(2001)
Proc. 2001 Society of Petroleum Engineers Annual Conf. SPE'2001
-
-
Nivlet, P.1
Fournier, F.2
Royer, J.3
-
38
-
-
0036454152
-
Non-destructive testing of aerospace structures: Granularity and data mining approach
-
Honolulu, HI, May 12-17
-
Osegueda, R., Kreinovich, V., Potluri, L., Aló, R.: Non-Destructive Testing of Aerospace Structures: Granularity and Data Mining Approach, in: Proc. FUZZ-IEEE'2002, Honolulu, HI, May 12-17, 2002, Vol. 1, pp. 685-689.
-
(2002)
Proc. FUZZ-IEEE'2002
, vol.1
, pp. 685-689
-
-
Osegueda, R.1
Kreinovich, V.2
Potluri, L.3
Aló, R.4
-
40
-
-
1542505007
-
Equivalence of five methods for bounding uncertainty
-
Regan, H., Ferson, S., and Berleant, D.: Equivalence of Five Methods for Bounding Uncertainty, Journal of Approximate Reasoning 36 (1) (2004), pp. 1-30.
-
(2004)
Journal of Approximate Reasoning
, vol.36
, Issue.1
, pp. 1-30
-
-
Regan, H.1
Ferson, S.2
Berleant, D.3
-
41
-
-
0142202554
-
Absolute bounds on the mean and standard deviation of transformed data for constant-sign-derivative transformations
-
Rowe, N. C.: Absolute Bounds on the Mean and Standard Deviation of Transformed Data for Constant-Sign-Derivative Transformations, SIAM Journal of Scientific Statistical Computing 9 (1988), pp. 1098-1113.
-
(1988)
SIAM Journal of Scientific Statistical Computing
, vol.9
, pp. 1098-1113
-
-
Rowe, N.C.1
-
42
-
-
0035999984
-
Binary analysis and optimization-based normalization of gene expression data
-
Shmulevich, I. and Zhang, W: Binary Analysis and Optimization-Based Normalization of Gene Expression Data, Bioinformatics 18 (4) (2002), pp. 555-565.
-
(2002)
Bioinformatics
, vol.18
, Issue.4
, pp. 555-565
-
-
Shmulevich, I.1
Zhang, W.2
-
43
-
-
28244491747
-
Towards combining probabilistic and interval uncertainty in engineering calculations
-
Savannah, Georgia, September 15-17
-
Starks, S. A., Kreinovich, V., Longpré, L., Ceberio, M., Xiang, G., Araiza, R., Beck, J., Kandathi, R., Nayak, A., and Torres, R.: Towards Combining Probabilistic and Interval Uncertainty in Engineering Calculations, in: Proceedings of the Workshop on Reliable Engineering Computing, Savannah, Georgia, September 15-17, 2004, pp. 193-213.
-
(2004)
Proceedings of the Workshop on Reliable Engineering Computing
, pp. 193-213
-
-
Starks, S.A.1
Kreinovich, V.2
Longpré, L.3
Ceberio, M.4
Xiang, G.5
Araiza, R.6
Beck, J.7
Kandathi, R.8
Nayak, A.9
Torres, R.10
-
46
-
-
0004119860
-
Philosophy and practicalities of interval arithmetic
-
Academic Press, New York
-
Walster, G. W: Philosophy and Practicalities of Interval Arithmetic, in: Reliability in Computing, Academic Press, New York, 1988, pp. 309-323.
-
(1988)
Reliability in Computing
, pp. 309-323
-
-
Walster, G.W.1
-
47
-
-
10044242329
-
For unknown-but-bounded errors, interval estimates are often better than averaging
-
Walster, G. W. and Kreinovich, V.: For Unknown-but-Bounded Errors, Interval Estimates Are Often Better Than Averaging, ACM SIGNUM Newsletter 31 (2) (1996), pp. 6-19.
-
(1996)
ACM SIGNUM Newsletter
, vol.31
, Issue.2
, pp. 6-19
-
-
Walster, G.W.1
Kreinovich, V.2
-
48
-
-
0002063018
-
Probabilistic arithmetic I: Numerical methods for calculating convolutions and dependency bounds
-
Williamson, R. and Downs, T.: Probabilistic Arithmetic I: Numerical Methods for Calculating Convolutions and Dependency Bounds, International Journal of Approximate Reasoning 4 (1990), pp. 89-158.
-
(1990)
International Journal of Approximate Reasoning
, vol.4
, pp. 89-158
-
-
Williamson, R.1
Downs, T.2
-
49
-
-
33750742578
-
Real-time algorithms for statistical analysis of interval data
-
Chiang Mai, Thailand, December 17-19
-
Wu, B., Nguyen, H. T., and Kreinovich, V.: Real-Time Algorithms for Statistical Analysis of Interval Data, in: Proceedings of the International Conference on Information Technology InTech'03, Chiang Mai, Thailand, December 17-19, 2003, pp. 483-490.
-
(2003)
Proceedings of the International Conference on Information Technology InTech'03
, pp. 483-490
-
-
Wu, B.1
Nguyen, H.T.2
Kreinovich, V.3
-
50
-
-
29044446484
-
Fast algorithm for computing the upper endpoint of sample variance for interval data: Case of sufficiently accurate measurements
-
Xiang, G.: Fast Algorithm for Computing the Upper Endpoint of Sample Variance for Interval Data: Case of Sufficiently Accurate Measurements, Reliable Computing 12 (1) (2006), pp. 59-64.
-
(2006)
Reliable Computing
, vol.12
, Issue.1
, pp. 59-64
-
-
Xiang, G.1
-
51
-
-
29044433963
-
New algorithms for statistical analysis of interval data
-
Lyngby, Denmark, June 20-23
-
Xiang, G., Starks, S. A., Kreinovich, V., and Longpré, L.: New Algorithms for Statistical Analysis of Interval Data, in: Proceedings of the Workshop on State-of-the-Art in Scientific Computing PARA'04, Lyngby, Denmark, June 20-23, 2004, Vol. 1, pp. 123-129.
-
(2004)
Proceedings of the Workshop on State-of-the-art in Scientific Computing PARA'04
, vol.1
, pp. 123-129
-
-
Xiang, G.1
Starks, S.A.2
Kreinovich, V.3
Longpré, L.4
-
52
-
-
8144227963
-
-
Wiley, Hoboken
-
Zhang, W., Shmulevich, I., and Astola, J.: Microarray Quality Control, Wiley, Hoboken, 2004.
-
(2004)
Microarray Quality Control
-
-
Zhang, W.1
Shmulevich, I.2
Astola, J.3
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