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AN ALTERNATIVE TO MAXIMUM LIKELIHOOD BASED ON SPACINGS

Published online by Cambridge University Press:  31 March 2005

Stanislav Anatolyev
Affiliation:
New Economic School, Moscow
Grigory Kosenok
Affiliation:
New Economic School, Moscow

Abstract

In the statistics literature, asymptotic properties of the Maximum Product of Spacings estimator are derived from first principles. We propose an alternative derivation based on the comparison between its objective function and that of the Maximum Likelihood estimator.We thank the co-editor Paolo Paruolo for his patience and an anonymous referee for providing references to the statistics literature.

Type
NOTES AND PROBLEMS
Copyright
© 2005 Cambridge University Press

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References

REFERENCES

Cheng, R.C.H. & N.A.K. Amin (1983) Estimating parameters in continuous univariate distributions with a shifted origin. Journal of the Royal Statistical Society, Series B 45, 394403.Google Scholar
Ekström, M. (1997) Generalized Maximum Spacing Estimators. Manuscript, Umeå University.
Feller, W. (1971) An Introduction to Probability Theory and Its Applications. Wiley.
Ghosh, K. & S.R. Jammalamadaka (2001) A general estimation method using spacings. Journal of Statistical Planning and Inference 93, 7182.Google Scholar
Lind, N.C. (1994) Information theory and maximum product of spacings estimation. Journal of the Royal Statistical Society, Series B 56, 341343.Google Scholar
Ranneby, B. (1984) The maximum spacing method: An estimation method related to the maximum likelihood method. Scandinavian Journal of Statistics 11, 93112.Google Scholar
Ranneby, B., S.R. Jammalamadaka, & A. Teterukovskiy (2004) The Maximum Spacing Estimate for Multivariate Observations. Manuscript, Swedish University of Agricultural Sciences.
Shao, Y. & M. Hahn (1999) Strong consistency of the maximum product of spacings estimates with applications in nonparametrics and in estimation of unimodal densities. Annals of the Institute of Statistical Mathematics 51, 3149.Google Scholar
Titterington, D.M. (1985) Comment on “Estimating parameters in continuous univariate distributions.” Journal of the Royal Statistical Society, Series B 47, 115116.Google Scholar
van der Vaart, A.W. (2000) Asymptotic Statistics. Cambridge University Press.