Score function of distribution and revival of the moment method

Communications in Statistics - Theory and Methods

Volumn 45, Issue 4, 2016, Pages 1118-1136

  Fabián, Zdeněk ^a  

^a INSTITUTE OF COMPUTER SCIENCE   (Czech Republic)

Author keywords

Characteristics of distributions; Data characteristics; General moment method; Huber moment estimator; Parametric methods; Score function

Indexed keywords

ESTIMATION; METHOD OF MOMENTS; PARAMETER ESTIMATION; PROBABILITY DISTRIBUTIONS;

CHARACTERISTICS OF DISTRIBUTIONS; DATA CHARACTERISTICS; MOMENT ESTIMATOR; PARAMETRIC METHOD; SCORE FUNCTION;

DISTRIBUTION FUNCTIONS;

EID: 84958068896     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610926.2013.857688     Document Type: Article

References (19)

1. Beran, J., Schell, D. (2010). On robust tail index estimation. Comput. Stat. Data Anal. doi:10.1016/j.csda.2010.05.028.
2. Cover, T.M., Thomas, J.A. (1991). Elements of Information Theory. New York:Wiley.
3. Fabián, Z. (2001). Induced cores and their use in robust parametric estimation. Commun. Stat. Theory Methods. 30: 537-556.
4. Fabián, Z., Vajda, I. (2003). Core functions and core divergences of regular distributions. Kybernetika. 39: 29-41.
5. Fabián, Z. (2007). Estimation of simple characteristics of samples from skewed and heavy-tailed distribution. In: Skiadas, C., ed. Recent Advances in Stochastic Modeling and Data Analysis (pp. 43-50). Singapore:World Scientific.
6. Fabián, Z. (2008). New measures of central tendency and variability of continuous distributions. Commun. Stat. Theory Methods. 37: 159-174.
7. Fabián, Z. (2009). Confidence intervals for a new characteristic of central tendency of distributions. Commun. Stat. Theory Methods. 38: 1804-1814.
8. Fabián, Z. (2010). Score moment estimators. In Proc. of conference COMPSTAT. Physica-Verlag: Springer.
9. Fabián, Z. (2012). Uncertainty of random variables. Proceedings SMTDA 2010. 251-258. http://www.smtda.net.
10. Hampel, F.R., Rousseeuw, P.J., Ronchetti, E.M., Stahel,W.A. (1986). Robust Statistic. TheApproach Based on Influence Functions. NewYork: Wiley.
11. Huber, P.J. (1964). Robust estimation of a location parameter. Ann. Math. Stat. 36: 1753-1758.
12. Huber, P.J., Ronchetti, E.M. (2009). Robust Statistics. New York:Wiley.
13. Johnson, N.L. (1949). Systems of frequency curves generated by methods of translations. Biometrika 36: 149-176.
14. Johnson, N.L., Kotz, S., Balakrishnan, M. (1994). , 1995Continuous Univariate Distributions 1, 2. New York: Wiley.
15. Jurečková, J. (2012). Score functions of distributions and their role. Abstract of lecture hold on Int. workshop on recent advances in math. stat. in honor of prof. M. Hušková, Prague.
16. Marrona, R.A.,Martin, R.D., Yohai, V.J. (2006). Robust Statistics. Theory andMethods. Chicester:Wiley.
17. Serfling, R.J. (1980). Approximation Theorems of Mathematical Statistics. New York:Wiley.
18. Sen, P.K., Singer, J.M., Pedroso da Lima, A. (2010). From Finite Sample to AsymptoticMethods of Statistics. NewYork: Cambridge univ. press.
19. Stehlík, M., Potocký, R.,Waldl, H., Fabián, Z. (2011).On the favorable estimation for fitting heavy tailed data. Comput. Stat. 25: 485-503.