Goodness of fit tests with weights in the classes based on (h,ϕ)(h,\phi)-divergences

summary:The aim of the paper is to present a test of goodness of fit with weigths in the classes based on weighted $\left( h,\phi \right)$-divergences. This family of divergences generalizes in some sense the previous weighted divergences studied by Frank et al [frank] and Kapur [kapur]. The weighted $\left( h,\phi \right)$-divergence between an empirical distribution and a fixed distribution is here investigated for large simple random samples, and the asymptotic distributions are shown to be either normal or equal to the distribution of a linear combination of independent chi-square variables. Some approximations to the linear combination of independent chi-square variables are presented

CD36 ligands promote sterile inflammation through assembly of a Toll-like receptor 4 and 6 heterodimer

Nephrolog