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Volumn 43, Issue 3, 1999, Pages 251-264

The PDF and CF of Pearson type IV distributions and the ML estimation of the parameters

Author keywords

Double exponential formula; Heavy tailed and skewed distribution; Pearson system; Risk management; Stock returns

Indexed keywords


EID: 0039350903     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(98)00265-x     Document Type: Article
Times cited : (49)

References (15)
  • 2
    • 0000501656 scopus 로고
    • Information theory and an extention of the maximum likelihood principle
    • In: Petrov, B.N., Csaki, F. (Eds.) Akademiai Kiado, Budapest
    • Akaike, H., 1973. Information theory and an extention of the maximum likelihood principle. In: Petrov, B.N., Csaki, F. (Eds.), 2nd Internat. Symp. on Information Theory. Akademiai Kiado, Budapest, pp. 267-281.
    • (1973) 2nd Internat. Symp. on Information Theory , pp. 267-281
    • Akaike, H.1
  • 5
    • 0043069540 scopus 로고
    • An approximation to the distribution of noncentral t
    • Merrington M., Pearson E.S. An approximation to the distribution of noncentral. t Biometrika. 45:1958;484-491.
    • (1958) Biometrika , vol.45 , pp. 484-491
    • Merrington, M.1    Pearson, E.S.2
  • 8
    • 0041566648 scopus 로고
    • Some problems arising in approximating to probability distributions, using moments
    • Pearson E.S. Some problems arising in approximating to probability distributions, using moments. Biometrika. 50:1963;95-111.
    • (1963) Biometrika , vol.50 , pp. 95-111
    • Pearson, E.S.1
  • 11
  • 12
    • 0041566647 scopus 로고
    • The Mills ratio and the probability integral for a Pearson type IV distribution
    • Shenton L.R., Carpenter J.A. The Mills ratio and the probability integral for a Pearson type IV distribution. Biometrika. 52:1964;119-126.
    • (1964) Biometrika , vol.52 , pp. 119-126
    • Shenton, L.R.1    Carpenter, J.A.2
  • 13
    • 0011317516 scopus 로고
    • On secant approximations to cumulative distribution functions
    • Skates S.J. On secant approximations to cumulative distribution functions. Biometrika. 80:1993;223-235.
    • (1993) Biometrika , vol.80 , pp. 223-235
    • Skates, S.J.1
  • 14
    • 84996018880 scopus 로고
    • Double exponential formulas for numerical integration
    • Takahasi H., Mori M. Double exponential formulas for numerical integration. Publ. RIMS Kyoto Univ. 9:1974;721-741.
    • (1974) Publ. RIMS Kyoto Univ. , vol.9 , pp. 721-741
    • Takahasi, H.1    Mori, M.2
  • 15
    • 0043069536 scopus 로고
    • Approximation of Pearson IV tail probabilities
    • Woodward W.A. Approximation of Pearson IV tail probabilities. J. Amer. Statist. Assoc. 71:1976;513-514.
    • (1976) J. Amer. Statist. Assoc. , vol.71 , pp. 513-514
    • Woodward, W.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.