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A Note on Generalized Inverses of Distribution Function and Quantile Transformation
Department of Biostatistics and Computational Biology University of Rochester, Rochester, USA
Department of Biostatistics and Computational Biology University of Rochester, Rochester, USA
Department of Biostatistics and Computational Biology University of Rochester, Rochester, USA
Department of Biostatistics & Bioinformatics, Rollins School of Public Health, Winship Cancer Institute, Atlanta, USA
- 1 Department of Biostatistics and Computational Biology University of Rochester, Rochester, USA
- 2 Department of Biostatistics and Computational Biology University of Rochester, Rochester, USA
- 3 Department of Biostatistics and Computational Biology University of Rochester, Rochester, USA
- 4 Department of Biostatistics & Bioinformatics, Rollins School of Public Health, Winship Cancer Institute, Atlanta, USA
Applied Mathematics·Volume 03 (2012)·Pages 2098–2100·Published 28 December 2012·DOI10.4236/am.2012.312A289
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Abstract
In this paper we study the relations of four possible generalized inverses of a general distribution functions and their right-continuity properties. We correct a right-continuity result of the generalized inverse used in statistical literature. We also prove the validity of a new generalized inverse which is always right-continuous.
KeywordsDistribution FunctionQuantile FunctionRight Continuity
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