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A Note on Generalized Inverses of Distribution Function and Quantile Transformation

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DOI: 10.4236/am.2012.312A289    5,005 Downloads   7,123 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

C. Feng, H. Wang, X. Tu and J. Kowalski, "A Note on Generalized Inverses of Distribution Function and Quantile Transformation," Applied Mathematics, Vol. 3 No. 12A, 2012, pp. 2098-2100. doi: 10.4236/am.2012.312A289.

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