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Line 95: Problems of ordinal optimization arise in many disciplines. [[Computer science\|Computer scientists]] study [[selection algorithm]]s, which are simpler than [[sorting algorithm]]s.<ref>[[Donald Knuth]]. ''[[The Art of Computer Programming]]'', Volume 3: ''Sorting and Searching'', Third Edition. Addison-Wesley, 1997. {{isbn\|0-201-89685-0}}. Section 5.3.3: Minimum-Comparison Selection, pp.207–219.</ref><ref>[[Thomas H. Cormen]], [[Charles E. Leiserson]], [[Ronald L. Rivest]], and [[Clifford Stein]]. ''[[Introduction to Algorithms]]'', Second Edition. MIT Press and McGraw-Hill, 2001. {{isbn\|0-262-03293-7}}. Chapter 9: Medians and Order Statistics, pp.183–196. Section 14.1: Dynamic order statistics, pp.302–308.</ref> [[Statistical decision theory]] studies "selection problems" that require the identification of a "best" subpopulation or of identifying a "near best" subpopulation.<ref>[[Jean D. Gibbons\|Gibbons, Jean Dickinson]]; [[Ingram Olkin\|Olkin, Ingram]], and Sobel, Milton, ''Selecting and Ordering of Populations'', Wiley, (1977). (Republished as a Classic in Applied Mathematics by SIAM.)</ref><ref>{{cite book\|last1=Gupta\|first1=Shanti S.\|last2=Panchapakesan\|first2=S.\|title=Multiple decision procedures: Theory and methodology of selecting and ranking populations\|series=Wiley Series in Probability and Mathematical Statistics\|publisher=John Wiley & Sons\|___location=New York\|year=1979\|pages=xxv+573\|isbn=0-471-05177-2\|mr=555416}} (Republished as a Classic in Applied Mathematics by SIAM.)</ref><ref>Santner, Thomas J., and Tamhane, A. C., ''Design of Experiments: Ranking and Selection'', M. Dekker, (1984).</ref><ref>Robert E. Bechhofer, Thomas J. Santner, David M. Goldsman. ''Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons''. John Wiley & Sons, 1995.</ref><ref>Friedrich Liese, Klaus-J. Miescke. 2008. ''Statistical Decision Theory: Estimation, Testing, and Selection''. Springer Verlag.</ref> == Applications ==

Ordinal optimization: Difference between revisions