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Volumn , Issue , 2011, Pages 1-20

Analyzing Randomized Search Heuristics: Tools from Probability Theory

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EID: 85129052535     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789814282673-1     Document Type: Chapter
Times cited : (86)

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    • Probability inequalities for the sum of independent random variables
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    • On a modification of Chebyshevs inequality and of the error formula of Laplace
    • Bernstein, S. (1924). On a modification of Chebyshevs inequality and of the error formula of Laplace, Ann. Sci. Inst. Sav. Ukraine, Sect. Math. 1 4, pp. 38-49.
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    • A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations
    • Chernoff, H. (1952). A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations, Ann. Math. Statistics 23, pp. 493-507.
    • (1952) Ann. Math. Statistics , vol.23 , pp. 493-507
    • Chernoff, H.1
  • 6
    • 0025383763 scopus 로고
    • A guided tour of Chernoff bounds
    • Hagerup, T. and Rub, C. (1990). A guided tour of Chernoff bounds, Inf. Process. Lett. 33, pp. 305-308.
    • (1990) Inf. Process. Lett , vol.33 , pp. 305-308
    • Hagerup, T.1    Rub, C.2
  • 7
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • Hoeffding, W. (1963). Probability inequalities for sums of bounded random variables, J. Amer. Statist. Assoc. 58, pp. 13-30.
    • (1963) J. Amer. Statist. Assoc , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 9
    • 0040735835 scopus 로고    scopus 로고
    • Concentration of multivariate polynomials and its applications
    • Kim, J. H. and Vu, V. H. (2000). Concentration of multivariate polynomials and its applications, Combinatorica 20, pp. 417-434.
    • (2000) Combinatorica , vol.20 , pp. 417-434
    • Kim, J.H.1    Vu, V.H.2
  • 10
    • 0000672724 scopus 로고    scopus 로고
    • Concentration, in Probabilistic Methods for Algorithmic Discrete Mathematics
    • Springer, Berlin
    • McDiarmid, C. (1998). Concentration, in Probabilistic Methods for Algorithmic Discrete Mathematics, Algorithms Combin, Vol. 16 (Springer, Berlin), pp. 195-248.
    • (1998) Algorithms Combin , vol.16 , pp. 195-248
    • McDiarmid, C.1
  • 12
    • 0006630131 scopus 로고    scopus 로고
    • Randomized distributed edge coloring via an extension of the Chernoff-Hoeffding bounds
    • Panconesi, A. and Srinivasan, A. (1997). Randomized distributed edge coloring via an extension of the Chernoff-Hoeffding bounds, SIAM J. Comput. 26, pp. 350-368.
    • (1997) SIAM J. Comput , vol.26 , pp. 350-368
    • Panconesi, A.1    Srinivasan, A.2
  • 13
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    • Convergence of random processes and limit theorems in probability theory
    • Prokhorov, Y. V. (1956). Convergence of random processes and limit theorems in probability theory, Theory of Probability and Its Applications 1, pp. 157-214.
    • (1956) Theory of Probability and Its Applications , vol.1 , pp. 157-214
    • Prokhorov, Y.V.1
  • 14
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    • Concentration of measure and isoperimetric inequalities in product spaces
    • Talagrand, M. (1995). Concentration of measure and isoperimetric inequalities in product spaces, Inst. Hautes Etudes Sci. Publications Mathmatiques 81, pp. 73-205.
    • (1995) Inst. Hautes Etudes Sci. Publications Mathmatiques , vol.81 , pp. 73-205
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.