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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    5,379 Downloads   7,743 Views   Citations


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.

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The authors declare no conflicts of interest.

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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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