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Volumn 35, Issue 4, 1998, Pages 1368-1392

Error bounds for numerical inversion of a probability characteristic function

Author keywords

Characteristic function; Fast Fourier transform; Fourier series; Hurwitz zeta function; Mean square convergence; Minimax convergence; Numerical inversion; Probability density; Probability distribution; Trigonometric approximation

Indexed keywords


EID: 0042113359     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614299631085X     Document Type: Article
Times cited : (30)

References (10)
  • 1
    • 0039516718 scopus 로고
    • A method to calculate the distribution function when the characteristic function is known
    • H. BOHMAN, A method to calculate the distribution function when the characteristic function is known, BIT, 10 (1970), pp. 237-242.
    • (1970) BIT , vol.10 , pp. 237-242
    • Bohman, H.1
  • 2
    • 84938170493 scopus 로고
    • Application of the fast Fourier transform to computation of Fourier integrals, Fourier series, and convolution integrals
    • J. W. COOLEY, P. A. W. LEWIS, AND P. D. WELCH, Application of the fast Fourier transform to computation of Fourier integrals, Fourier series, and convolution integrals, IEEE Trans. Audio Electroacoustics, 15 (1967), pp. 79-84.
    • (1967) IEEE Trans. Audio Electroacoustics , vol.15 , pp. 79-84
    • Cooley, J.W.1    Lewis, P.A.W.2    Welch, P.D.3
  • 3
    • 85041932786 scopus 로고
    • Numerical inversion of a characteristic function
    • R. B. DAVIES, Numerical inversion of a characteristic function, Biometrika, 60 (1973), pp. 415-417.
    • (1973) Biometrika , vol.60 , pp. 415-417
    • Davies, R.B.1
  • 4
    • 33846209414 scopus 로고
    • Note on the inversion theorem
    • J. GIU-PALAEZ, Note on the inversion theorem, Biometrika, 38 (1951), pp. 481-482.
    • (1951) Biometrika , vol.38 , pp. 481-482
    • Giu-Palaez, J.1
  • 5
    • 0029329243 scopus 로고
    • An optimal constrained linear inverse method for magnetic source imaging
    • P. HUGHETT, An optimal constrained linear inverse method for magnetic source imaging, Ann. Biomed. Engin., 23 (1995), pp. 506-523.
    • (1995) Ann. Biomed. Engin. , vol.23 , pp. 506-523
    • Hughett, P.1
  • 9
    • 0016450931 scopus 로고
    • Numerical inversion of a class of characteristic functions
    • B. SCHORR, Numerical inversion of a class of characteristic functions, BIT, 15 (1975), pp. 94-102.
    • (1975) BIT , vol.15 , pp. 94-102
    • Schorr, B.1
  • 10
    • 79955400567 scopus 로고
    • Functions by numerical inversion of characteristic functions with applications
    • L. A. WALLER, B. W. TURNBULL, AND J. M. HARDIN, Obtaining distribution functions by numerical inversion of characteristic functions with applications, Amer. Statist., 49 (1995), pp. 346-350.
    • (1995) Amer. Statist. , vol.49 , pp. 346-350
    • Waller, L.A.1    Turnbull, B.W.2    Hardin, J.M.3    Distribution, O.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.