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Volumn 24, Issue 2, 1996, Pages 787-808

Möbius transformation and Cauchy parameter estimation

Author keywords

Bartlett adjustment; Brownian motion; Circular Cauchy distribution; Complex parameter; Equivariance; Fractional linear transformation; Harmonic measure; Invariant measure; Invariant statistic; Likelihood ratio statistic; M bius group; Robustness; Wrapped

Indexed keywords


EID: 0030493543     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1032894465     Document Type: Article
Times cited : (77)

References (12)
  • 1
    • 85042251984 scopus 로고
    • On the unimodality of the likelihood function for the Cauchy distribution
    • COPAS, J. (1975). On the unimodality of the likelihood function for the Cauchy distribution. Biometrika 62 701-704.
    • (1975) Biometrika , vol.62 , pp. 701-704
    • Copas, J.1
  • 3
    • 84887166781 scopus 로고
    • Maximum likelihood estimates of the parameters of the Cauchy distribution for samples of size 3 and 4
    • FERGUSON, T. (1978). Maximum likelihood estimates of the parameters of the Cauchy distribution for samples of size 3 and 4. J. Amer. Statist. Assoc. 73 211-213.
    • (1978) J. Amer. Statist. Assoc. , vol.73 , pp. 211-213
    • Ferguson, T.1
  • 4
    • 84966230177 scopus 로고
    • A characterization of the Cauchy type
    • KNIGHT, F. B. (1976). A characterization of the Cauchy type. Proc. Amer. Math. Soc. 55 130-135.
    • (1976) Proc. Amer. Math. Soc. , vol.55 , pp. 130-135
    • Knight, F.B.1
  • 5
  • 6
    • 0040706272 scopus 로고
    • Edgeworth series for lattice distributions
    • KOLASSA, J. and MCCULLAGH, P. (1990). Edgeworth series for lattice distributions. Ann. Statist. 18 981-985.
    • (1990) Ann. Statist. , vol.18 , pp. 981-985
    • Kolassa, J.1    McCullagh, P.2
  • 8
    • 0007288105 scopus 로고
    • Conditional inference and Cauchy models
    • MCCULLAGH, P. (1992). Conditional inference and Cauchy models. Biometrika 79 247-259.
    • (1992) Biometrika , vol.79 , pp. 247-259
    • McCullagh, P.1
  • 9
    • 0039072814 scopus 로고
    • On the choice of ancillary in the Cauchy location-scale problem
    • J. K. Ghosh, S. K. Mitra, K. R. Partasarathy and B. L. S. Prakasa Rao, eds. Wiley Eastern, New Delhi
    • MCCULLAGH, P. (1993). On the choice of ancillary in the Cauchy location-scale problem. In Statistics and Probability: A R. R. Bahadur Festschrift (J. K. Ghosh, S. K. Mitra, K. R. Partasarathy and B. L. S. Prakasa Rao, eds.) 445-462. Wiley Eastern, New Delhi.
    • (1993) Statistics and Probability: A R. R. Bahadur Festschrift , pp. 445-462
    • McCullagh, P.1
  • 12
    • 0039664841 scopus 로고
    • Sheppard's correction formulae in several variables
    • WOLD, H. (1934). Sheppard's correction formulae in several variables. Skand. Akturarietidskrift 17 248-255.
    • (1934) Skand. Akturarietidskrift , vol.17 , pp. 248-255
    • Wold, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.