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Division-by-q dichotomization for interval uncertainty reduction by cutting off equal parts from the left and right based on expert judgments under short-termed observations

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A problem of reducing interval uncertainty is considered by an approach of cutting off equal parts from the left and right. The interval contains admissible values of an observed object’s parameter. The object’s parameter cannot be measured directly or deductively computed, so it is estimated by expert judgments. Terms of observations are short, and the object’s statistical data are poor. Thus an algorithm of flexibly reducing interval uncertainty is designed via adjusting the parameter by expert procedures and allowing to control cutting off. While the parameter is adjusted forward, the interval becomes progressively narrowed after every next expert procedure. The narrowing is performed via division-by-q dichotomization cutting off the q–1-th parts from the left and right. If the current parameter’s value falls outside of the interval, forward adjustment is canceled. Then backward adjustment is executed, where one of the endpoints is moved backwards. Adjustment is not executed when the current parameter’s value enclosed within the interval is simultaneously too close to both left and right endpoints. If the value is “trapped” like that for a definite number of times in succession, the early stop fires.
Rocznik
Strony
125--155
Opis fizyczny
Bibliogr. 50 poz., rys., tab.
Twórcy
  • Polish Naval Academy, Gdynia, Poland
Bibliografia
  • [1] Agapova A., Madura J., Market uncertainty and earnings guidance, The Quarterly Review of Economics and Finance, 61, 2016, 97-111.
  • [2] Alhassan E., Sjostrand H., Helgesson P., Osterlund M., Pomp S., Koning A.J., Rochman D., On the use of integral experiments for uncertainty reduction of reactor macroscopic parameters within the TMC methodology, Progress in Nuclear Energy, 88, 2016, 43-52.
  • [3] Bazerman M.H., Moore D.A., Judgment in Managerial Decision Making (8th ed.), Wiley, River Street, Hoboken, NJ, 2013.
  • [4] Betzler N., Fellows M.R., Guo J., Niedermeier R., Rosamond F.A., Fixed-parameter algorithms for Kemeny rankings, Theoretical Computer Science, 410 (45), 2009, 4554-4570.
  • [5] Blalock H.M., Social Statistics, McGraw-Hill, New York, NY, 1979.
  • [6] Branke J., Deb K., Miettinen K., Słowiński R. (eds.), Multiobjective Optimization: Interactive and Evolutionary Approaches (Lecture Notes in Computer Science (5252), Springer, Berlin, 2008.
  • [7] Ghashim E., Marchand E., Strawderman W.E., On a better lower bound for the frequentist probability of coverage of Bayesian credible intervals in restricted parameter spaces, StatisticalMethodology, 31, 2016, 43-57.
  • [8] Goodwin G.C., Payne R.L., Dynamic System Identification: Experiment Design and Data Analysis, Academic Press, New York, NY, 1977.
  • [9] Guo P., Tanaka H., Decision making with interval probabilities, European Journal of Operational Research, 203 (2), 2010, 444-454.
  • [10] Han Y., Liu W., Bretz F., Wan F., Yang P., Statistical calibration and exact one-sided simultaneous tolerance intervals for polynomial regression, Journal of Statistical Planning andInference, 168, 2016, 90-96.
  • [11] Harris I.R., A simple approximation to the likelihood interval for a binomial proportion, Statistical Methodology, 13, 2013, 42-47.
  • [12] Haykin S., Neural Networks: A Comprehensive Foundation, Prentice Hall, Upper Saddle River, NJ, 1999.
  • [13] Jablonski A., Barszcz T., Bielecka M., Breuhaus P., Modeling of probability distribution functions for automatic threshold calculation in condition monitoring systems, Measurement, 46 (1), 2013, 727-738.
  • [14] Kangin D., Kolev G., Vikhoreva A., Further parameters estimation of neocognitron neural network modification with FFT convolution, Journal of Telecommunication, Electronic and Computer Engineering, 4 (2), 2012, 21-26.
  • [15] Lan Y., Liu Y.K., Sun G., Modeling fuzzy multi-period production planning and sourcing problem with credibility service levels, Journal of Computational and AppliedMathematics, 231 (1), 2009, 208-221.
  • [16] Lehmann E.L., Casella G., Theory of Point Estimation (2nd ed.), Springer, New York, NY, 1998.
  • [17] Lequy E., Sauvage S., Laffray X., Gombert-Courvoisier S., Pascaud A., Galsomies L., Leblond S., Assessment of the uncertainty of trace metal and nitrogen concentrations in mosses due to sampling, sample preparation and chemical analysis based on the French contribution to ICP-Vegetation, Ecological Indicators, 71, 2016, 20-31.
  • [18] Li X., Qin Z., Interval portfolio selection models within the framework of uncertainty theory, EconomicModelling, 41, 2014, 338-344.
  • [19] Li Y. P., Huang G.H., Nie S.L., A robust interval-based minimax-regret analysis approach for the identification of optimal water-resources-allocation strategies under uncertainty, Resources, Conservation and Recycling, 54 (2), 2009, 86-96.
  • [20] Liebowitz J., The Handbook of Applied Expert Systems, CRC Press, Boca Raton, FL, 1997.
  • [21] Liu Z., Fan S., Wang H.J., Zhao J.L., Enabling effective workflow model reuse: A data-centric approach, Decision Support Systems, 93, 2017, 11-25.
  • [22] Manly B.F.J., Statistics for Environmental Science and Management, Chapman & Hall/CRC, Boca Raton, FL, 2008.
  • [23] Menendez P., Fan Y., Garthwaite P.H., Sisson S.A., Simultaneous adjustment of bias and coverage probabilities for confidence intervals, Computational Statistics & Data Analysis, 70, 2014, 35-44.
  • [24] Muscolino G., Santoro R., Sofi A., Reliability analysis of structures with interval uncertainties under stationary stochastic excitations, Computer Methods in Applied Mechanics and Engineering, 300, 2016, 47-69.
  • [25] Nott D.J., Marshall L., Fielding M., Liong S.-Y., Mixtures of experts for understanding model discrepancy in dynamic computer models, Computational Statistics & Data Analysis, 71, 2014, 491-505.
  • [26] Pan L., Politis D.N., Bootstrap prediction intervals for Markov processes, Computational Statistics & Data Analysis, 100, 2016, 467-494.
  • [27] Parmigiani G., Inoue L., Decision Theory: Principles and Approaches, Wiley, Chichester, UK, 2009.
  • [28] Pasquier R., Smith I.F.C., Robust system identification and model predictions in the presence of systematic uncertainty, Advanced Engineering Informatics, 29 (4), 2015, 1096-1109.
  • [29] Pham H.V., Tsai F.T.-C., Bayesian experimental design for identification of model propositions and conceptual model uncertainty reduction, Advances in Water Resources, 83, 2015, 148-159.
  • [30] Pinedo M.L., Scheduling: Theory, Algorithms, and Systems, Springer, 2016.
  • [31] Qin R., Liu Y.K., Liu Z., Modeling fuzzy data envelopment analysis by parametric programming method, Expert Systems with Applications, 38 (7), 2011, 8648-8663.
  • [32] Rajabi M.M., Ataie-Ashtiani B., Efficient fuzzy Bayesian inference algorithms for incorporating expert knowledge in parameter estimation, Journal of Hydrology, 536, 2016, 255-272.
  • [33] Revesz P., Birnbaum Z.W., Lukacs E., The Laws of Large Numbers, Academic Press, New York, NY, London, England, 1968.
  • [34] Romanuke V.V., Environment guard model as dyadic three-person game with the generalized fine for the reservoir pollution, Ecological Safety and Nature Management, 6, 2010, 77-94.
  • [35] Romanuke V.V., Theoretic-game methods of identification of models for multistage technical control and run-in under multivariate uncertainties (a Dissertation for the Doctoral Degree of Technical Sciences in Speciality 01.05.02 Mathematical Modeling and Computational Methods), Vinnytsia National Technical University, Vinnytsia, Ukraine, 2014 (in Ukrainian).
  • [36] Romanuke V.V., Uniform sampling of fundamental simplexes as sets of players’ mixed strategies in the finite noncooperative game for finding equilibrium situations with possible concessions, Journal of Automation and Information Sciences, 47 (9), 2015, 76-85.
  • [37] Romanuke V.V., Algorithm of fast Kemeny consensus by searching over standard matrices distanced to the first ranking as the averaged expert ranking by minimal difference, Research Bulletin of NTUU “Kyiv Polytechnic Institute”, 1, 2016, 50-57.
  • [38] Romanuke V.V., Multiple state problem reduction and decision making criteria hybridization, Research Bulletin of NTUU “Kyiv Polytechnic Institute”, 2, 2016, 51-59.
  • [39] Romanuke V.V., Adjustment of a positive integer parameter unknown to an interval with constant boundaries based on expert estimations whose average-like value is upper-limited to the parameter, Herald of Khmelnytskyi national university. Technical sciences, 4, 2016, 116-123.
  • [40] Romanuke V.V., Hard and soft adjusting of a parameter with its known boundaries by the value based on the experts’ estimations limited to the parameter, Electrical, Control and Communication Engineering, 10, 2016, 23-28.
  • [41] Romanuke V.V., Evaluation of payoff matrices for noncooperative games via processing binary expert estimations, Information Technology and Management Science, 19, 2016, 10-15.
  • [42] Romanuke V.V., Interval uncertainty reduction via division-by-2 dichotomization based on expert estimations for short-termed observations, Journal of Uncertain Systems, 12 (1), 2018, 3-21.
  • [43] Sofi A., Romeo E., A novel Interval Finite Element Method based on the improved interval analysis, Computer Methods in Applied Mechanics and Engineering, 311, 2016, 671-697.
  • [44] Walpole R.E., Myers R.H., Myers S.L., Ye K., Probability & Statistics for Engineers & Scientists (9th ed.), Prentice Hall, Boston, MA, 2012.
  • [45] Walter E., Pronzato L., Identification of Parametric Models from Experimental Data. Springer, London, UK, 1997.
  • [46] Wang M., Huang Q., A new hybrid uncertain analysis method for structural-acoustic systems with random and interval parameters, Computers & Structures, 175, 2016, 15-28.
  • [47] Xia M., Cai C.S., Pan F., Yu Y., Estimation of extreme structural response distributions for mean recurrence intervals based on short-term monitoring, Engineering Structures, 126, 2016, 121-132.
  • [48] Young P., Zamir S. (eds.), Handbook of Game Theory. Volume 4, North Holland, 2015.
  • [49] Zaman K., Rangavajhala S., McDonald M.P., Mahadevan S., A probabilistic approach for representation of interval uncertainty, Reliability Engineering & System Safety, 96 (1), 2011, 117-130.
  • [50] Zhou Y., Fenton N., Neil M., Bayesian network approach to multinomial parameter learning using data and expert judgments, International Journal of Approximate Reasoning, 55 (5), 2014, 1252-1268.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a01738c8-0da7-4b21-bafc-b42f1643e3af
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