Uniqueness of characterization of absolutely continuous distributions by regressions of generalized order statistics

We provide a new approach to the problem of the unique identification of distributions with a continuous density by a single regression function of order statistics or record values or, more generally, generalized order statistics. Using their Markov property we show that the characterization is unique if and only if the corresponding system of differential equations has the unique solution. This result is new even in the particular case of ordinary order statistics. This approach provides a new proof of characterization of power, exponential and Pareto distributions by linearity of corresponding regression. It also yields new examples of characterizations of distributions.     

The Paradox of Impossible Beauty: Body Changes and Beauty Practices in Aging Women

The aim of this article is to describe and understand the experience of aesthetic body changes in women between 65 and 75 years old. To approach the issue, 29 in-depth interviews were conducted in Marseille in 2011. Following a brief review of contemporary Western aesthetics, we will examine the marks of time women perceive as stigmatizing and analyze beauty practices that aim to conceal or repair them. The last part of this article will be devoted to the experience of the aesthetic body and in particular show how aging can paradoxically have a beneficial effect on some women.