Minimax invariant estimator of a continuous distribution function under a general loss function
Author:
Publisher
Springer Science and Business Media LLC
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Link
http://link.springer.com/content/pdf/10.1007/s00184-009-0239-2.pdf
Reference9 articles.
1. Aggarwal OP (1955) Some minimax invariant procedures for estimating a cumulative distribution function. Ann Math Stat 26: 450–463
2. Ferguson TS (1967) Mathematical statistics: a decision theoretic approach. Probability and mathematical statistics, vol 1. Academic Press, New York
3. Friedman Y, Gelman A, Phadia E (1988) Best invariant estimation of a distribution function under the Kolmogorov-Smirnov loss function. Ann Stat 16(3): 1254–1261
4. Jokiel-Rokita A, Magiera R (2007) Minimax estimation of a cumulative distribution function by converting to a parametric problem. Metrika 66(1): 61–73
5. Mohammadi L, van Zwet WR (2002) Minimax invariant estimation of a continuous distribution function under entropy loss. Metrika 56(1): 31–42
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1. Minimax estimation of a bivariate cumulative distribution function;Metrika;2019-09-24
2. On continuous distribution functions, minimax and best invariant estimators, and integrated balanced loss functions;Canadian Journal of Statistics;2014-06-25
3. Best invariant and minimax estimation of quantiles in finite populations;Journal of Statistical Planning and Inference;2011-08
4. On stochastic orders of absolute value of order statistics in symmetric distributions;Statistics & Probability Letters;2009-10
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