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Title: Estimating the shape functions Authors:  Maria Dolores Jimenez-Gamero - Universidad de Sevilla (Spain) [presenting]
Abstract: The left shape function and the right shape function have several remarkable properties. Among them, if $F$ is a location-scale family of continuous distribution functions, then any random variables $X$ and $Y$ with distribution function in this family have the same right (left) shape function. In other words, the right (left) shape function characterizes location-scale families. This property can be used to built goodness-of-fit tests. A key step towards the development of statistical procedures based on the right shape function for making inferences is the study of an estimator of such function. This is the objective.