The McDonald Gumbel model

ABSTRACT

We propose a new model called the McDonald Gumbel distribution, the major advantage of which is its ability to fit asymmetric real data that can not be properly adjusted by existing distributions. This model contains as special models the Gumbel, exponentiated Gumbel (Persson and Rydén, 2010 Persson, K., Rydén, J. (2010). Exponentiated Gumbel distribution for estimation of return levels of significant wave height. J. Environ. Statist. 1:1–12. [Google Scholar]), beta Gumbel (Nadarajah and Kotz, 2004 Nadarajah, S., Kotz, S. (2004). The beta Gumbel distribution. Mathemat. Prob. Eng.323–332.[Crossref], [Web of Science ®] , [Google Scholar]), Kumaraswamy Gumbel distributions, among others. We obtain the ordinary moments, quantile and generating functions and mean deviations. The method of maximum likelihood is used to fit the proposed distribution. The applicability of the new model is illustrated by means of two real data sets.     

Lesbian, gay, and bisexual homeless youth: an eight-city public health perspective

This article reports on results of a one-day public health survey conducted in six states by homeless youth providers to measure and compare risk factors between lesbian, gay, and bisexual (LGB) homeless youth and non-LGB homeless youth. This article intends to inform the child welfare field on existing gaps in services and areas where more training and technical support is necessary in providing services to homeless LGB youth. The findings point to substantial differences within the homeless youth sample and demonstrate that in addition to the public health risks young people face merely by being homeless, the risks are exacerbated for those who self-identify as lesbian, gay, or bisexual. The article informs child welfare providers and policymakers about the substantial vulnerability of LGB youth beyond that of non-LGB homeless youth and the need to fund programming, training, technical assistance and further research to specifically respond to the complex needs of this population.