Authors | Fatemeh Yousefzadeh,Majid Chahkandi |
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Journal | Communications in Statistics - Theory and Methods |
Page number | 942-953 |
Serial number | 48 |
Volume number | 4 |
IF | 0.311 |
Paper Type | Full Paper |
Published At | 2019 |
Journal Grade | ISI |
Journal Type | Typographic |
Journal Country | Iran, Islamic Republic Of |
Journal Index | JCR،Scopus |
Abstract
Recently, in the literature, the use of quantile functions in the place of distribution functions has provided new models, alternative methodology and easier algebraicmanipulations. In this paper,we introduce new orders among the random variables in terms of their quantile functions like the reversed hazard quantile function, the reversed mean residual quantile function and the reversed variance residual quantile function orders. The relationships among the proposed orders and some existing orders are also discussed.
tags: Quantile function; Reversed hazard quantile function; Reversed mean residual quantile function; Reversed variance residual quantile function; Stochastic order