메뉴 건너뛰기




Volumn 41, Issue 2, 1996, Pages 210-223

The mean, median, and mode of unimodal distributions: A characterization

Author keywords

unimodality; Connected; Convex; Ellipsoid; Mean; Mean median mode inequality; Median; Mode; Moment problem; Sphere; Star unimodality; Uniform distribution; Unimodality

Indexed keywords


EID: 0030344094     PISSN: 0040585X     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0040585X97975447     Document Type: Article
Times cited : (52)

References (15)
  • 1
    • 0039250300 scopus 로고
    • Technical Report 208, Department of Statistics and Applied Probability, University of California at Santa Barbara, Santa Barbara, CA
    • S. BASU AND A. DASGUPTA. Bayesian analysis with distribution bands: The role of the loss function, Technical Report 208, Department of Statistics and Applied Probability, University of California at Santa Barbara, Santa Barbara, CA, 1992.
    • (1992) Bayesian Analysis with Distribution Bands: The Role of the Loss Function
    • Basu, S.1    Dasgupta, A.2
  • 2
    • 0039250288 scopus 로고    scopus 로고
    • A new general method for constructing confidence sets in arbitrary dimensions, with applications
    • to appear
    • A. DASGUPTA AND J. K. GHOSH, AND M. ZEN, A new general method for constructing confidence sets in arbitrary dimensions, with applications, Ann. Statist., to appear.
    • Ann. Statist.
    • Dasgupta, A.1    Ghosh, J.K.2    Zen, M.3
  • 6
    • 0011506871 scopus 로고
    • The mode, median and mean inequality
    • R. A. GROENEVELD AND G. MEEDEN, The mode, median and mean inequality, Amer. Statist., 33 (1977), pp. 120-121.
    • (1977) Amer. Statist. , vol.33 , pp. 120-121
    • Groeneveld, R.A.1    Meeden, G.2
  • 7
    • 0039841996 scopus 로고
    • The moment problem for unimodal distributions
    • N. L. JOHNSON AND C. A. ROGERS, The moment problem for unimodal distributions, Ann. Math. Statist., 22 (1951), pp. 432-439.
    • (1951) Ann. Math. Statist. , vol.22 , pp. 432-439
    • Johnson, N.L.1    Rogers, C.A.2
  • 9
    • 0002515295 scopus 로고
    • The general moment problem, a geometric approach
    • J. H. B. KEMPERMAN, The general moment problem, a geometric approach, Ann. Math. Statist., 39 (1968), pp. 93-122.
    • (1968) Ann. Math. Statist. , vol.39 , pp. 93-122
    • Kemperman, J.H.B.1
  • 10
    • 84985534659 scopus 로고
    • The mean, median, mode inequality and skewness for a class of densities
    • H. L. MACGILLIVRAY, The mean, median, mode inequality and skewness for a class of densities, Austral. J. Statist., 23 (1981), pp. 247-250.
    • (1981) Austral. J. Statist. , vol.23 , pp. 247-250
    • Macgillivray, H.L.1
  • 11
    • 84963102816 scopus 로고
    • Representation theorems for distribution functions
    • H. P. MULHOLLAND AND C. A. ROGERS, Representation theorems for distribution functions, Proc. London Math. Soc., 8 (1958), pp. 177-223.
    • (1958) Proc. London Math. Soc. , vol.8 , pp. 177-223
    • Mulholland, H.P.1    Rogers, C.A.2
  • 12
  • 15


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.