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Volumn 127, Issue 3, 2003, Pages 353-366

Exact norms of a Stein-type operator and associated stochastic orderings

Author keywords

Central limit theorem; Exact norms; Stein type operator; Stochastic order in distribution

Indexed keywords


EID: 0345414126     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-003-0288-9     Document Type: Article
Times cited : (20)

References (11)
  • 3
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    • An estimate of the remainder in a combinatorial central limit theorem
    • Bolthausen, E.: An estimate of the remainder in a combinatorial central limit theorem. Z. Wahrsch. verw. Gebiete 66, 379-386 (1984)
    • (1984) Z. Wahrsch. Verw. Gebiete , vol.66 , pp. 379-386
    • Bolthausen, E.1
  • 4
    • 0012893354 scopus 로고
    • Asymptotic expansions in the central limit theorem under moment conditions
    • Götze, F., Hipp, C: Asymptotic expansions in the central limit theorem under moment conditions, Z. Wahrsch. verw. Gebiete 42, 67-87 (1978)
    • (1978) Z. Wahrsch. Verw. Gebiete , vol.42 , pp. 67-87
    • Götze, F.1    Hipp, C.2
  • 5
    • 0042883195 scopus 로고
    • The extrema of the expected value of a function of independent random variables
    • Hoeffding, W.: The extrema of the expected value of a function of independent random variables. Ann. Math. Statist. 26, 268-275 (1955)
    • (1955) Ann. Math. Statist. , vol.26 , pp. 268-275
    • Hoeffding, W.1
  • 6
    • 0010707466 scopus 로고
    • p bound for the remainder in a combinatorial central limit theorem
    • p bound for the remainder in a combinatorial central limit theorem. Ann. Probab. 6, 231-249 (1978)
    • (1978) Ann. Probab. , vol.6 , pp. 231-249
    • Ho, S.-T.1    Chen, L.H.Y.2
  • 7
    • 84945613534 scopus 로고
    • A moment inequality with an application to the central limit theorem
    • Esséen, C.G.: A moment inequality with an application to the central limit theorem. Skand. Aktuar. 39, 160-170 (1956)
    • (1956) Skand. Aktuar. , vol.39 , pp. 160-170
    • Esséen, C.G.1
  • 8
    • 0039988126 scopus 로고
    • On the constant in the nonuniform version of the Berry-Esséen theorem
    • Michel, R.: On the constant in the nonuniform version of the Berry-Esséen theorem. Z. Wahrsch. verw. Gebiete 55, 109-117 (1981)
    • (1981) Z. Wahrsch. Verw. Gebiete , vol.55 , pp. 109-117
    • Michel, R.1
  • 9
    • 38248999593 scopus 로고
    • On Berry-Esséen results for the compound Poisson distribution
    • Michel, R.: On Berry-Esséen results for the compound Poisson distribution. Insurance: Math. Econ. 13, 35-37 (1993)
    • (1993) Insurance: Math. Econ. , vol.13 , pp. 35-37
    • Michel, R.1
  • 10
    • 0003364844 scopus 로고
    • Approximate Computation of Expectations
    • IMS, Hayward, Ca.
    • Stein, C.: Approximate Computation of Expectations. IMS, Lecture Notes-Monograph Series 7, Hayward, Ca., 1986
    • (1986) Lecture Notes-monograph Series , vol.7
    • Stein, C.1
  • 11
    • 0000602905 scopus 로고
    • An application of the Fourier method to the problem of sharpening the Berry-Esséen inequality
    • van Beek, P.: An application of the Fourier method to the problem of sharpening the Berry-Esséen inequality. Z. Wahrsch. verw. Gebiete 23, 187-196 (1972)
    • (1972) Z. Wahrsch. Verw. Gebiete , vol.23 , pp. 187-196
    • Van Beek, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.