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Volumn 19, Issue 9, 2006, Pages 968-975

A symbolic method for k-statistics

Author keywords

Joint cumulants; k Statistics; Symmetric polynomials; U Statistics; Umbral calculus

Indexed keywords

MULTIVARIABLE SYSTEMS; NUMERICAL METHODS; PROBLEM SOLVING; THEOREM PROVING;

EID: 33744911965     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2005.09.012     Document Type: Article
Times cited : (2)

References (9)
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    • Umbral nature of the Poisson random variables
    • Crapo H., and Senato D. (Eds), Springer, Italia
    • Di Nardo E., and Senato D. Umbral nature of the Poisson random variables. In: Crapo H., and Senato D. (Eds). Algebraic Combinatorics and Computer Science (2001), Springer, Italia 245-266
    • (2001) Algebraic Combinatorics and Computer Science , pp. 245-266
    • Di Nardo, E.1    Senato, D.2
  • 2
    • 33744911720 scopus 로고    scopus 로고
    • E. Di Nardo, D. Senato, An umbral setting for cumulants and factorial moments, European J. Combin. (2005) (in press)
  • 3
    • 0001254907 scopus 로고
    • On the foundations of combinatorial theory VII: Symmetric functions through the theory of distribution and occupancy
    • Doubilet P. On the foundations of combinatorial theory VII: Symmetric functions through the theory of distribution and occupancy. Stud. Appl. Math. 11 (1972) 377-396
    • (1972) Stud. Appl. Math. , vol.11 , pp. 377-396
    • Doubilet, P.1
  • 4
    • 84960569558 scopus 로고
    • Moments and product moments of sampling distributions
    • Fisher R.A. Moments and product moments of sampling distributions. Proc. London Math. Soc. (2) 30 (1929) 199-238
    • (1929) Proc. London Math. Soc. (2) , vol.30 , pp. 199-238
    • Fisher, R.A.1
  • 5
    • 0001744704 scopus 로고
    • A class of statistics with asymptotically normal distribution
    • Hoeffding W. A class of statistics with asymptotically normal distribution. Ann. Math. Stat. 19 (1948) 293-325
    • (1948) Ann. Math. Stat. , vol.19 , pp. 293-325
    • Hoeffding, W.1
  • 7
    • 0009279922 scopus 로고
    • Cumulants and partition lattices II: Generalized k-statistics
    • Speed T.P. Cumulants and partition lattices II: Generalized k-statistics. J. Aust. Math. Soc. Ser. A 40 (1986) 34-53
    • (1986) J. Aust. Math. Soc. Ser. A , vol.40 , pp. 34-53
    • Speed, T.P.1
  • 9
    • 0005343165 scopus 로고    scopus 로고
    • Difference equations via the classical umbral calculus
    • Sagan, et al. (Ed), Birkhauser, Boston
    • Taylor B.D. Difference equations via the classical umbral calculus. In: Sagan, et al. (Ed). Mathematical Essays in Honor of Gian-Carlo Rota (1998), Birkhauser, Boston 397-411
    • (1998) Mathematical Essays in Honor of Gian-Carlo Rota , pp. 397-411
    • Taylor, B.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.