Integrated squared error estimation of Cauchy parameters

Statistics and Probability Letters

Volumn 55, Issue 4, 2001, Pages 397-401

  Besbeas, Panagiotis ^a   Morgan, Byron J T ^a  

^a UNIVERSITY OF KENT   (United Kingdom)

Author keywords

Cauchy distribution; Efficiency; Influence function; Integrated squared error; k L method; Maximum likelihood; Robustness

Indexed keywords

EID: 0042910544     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(01)00153-5     Document Type: Article

References (9)

1. Besbeas, P., 1999. Parameter estimation based on empirical transforms. Ph.D. Thesis, University of Kent, UK.
2. Campbell, E.P., 1992. Robustness of estimation based on empirical transforms. Ph.D. Thesis, University of Kent, UK.
3. Campbell E.P. Influence for empirical transforms. Comm. Statist. Theory Methods. 22:1993;2491-2502.
4. Feuerverger A., McDunnough P. On the efficiency of empirical characteristic function procedures. J. Roy. Statist. Soc. Ser. B. 43:1981;20-27.
5. Feuerverger A., McDunnough P. On some Fourier methods for inference. J. Amer. Statist. Assoc. 76:1981;379-387.
6. Heathcote C.R. The integrated squared error estimation of parameters. Biometrika. 64:1977;255-264.
7. Koutrouvelis I.A. Estimation of location and scale in Cauchy distributions using the empirical characteristic function. Biometrika. 69:1982;205-213.
8. Ogawa J. Determination of optimum spacings for the estimation of the scale parameter of an exponential distribution based on sample quantiles. Ann. Inst. Statist. Math. 12:1960;135-141.
9. Thornton J.C., Paulson A.S. Asymptotic distribution of characteristic function-based estimators for the stable laws. Sankhyā Ser. A. 39:1977;341-354.