Berk and Jones (1979) introduced a goodness of fit test statistic Rn which is the supremum of pointwise likelihood ratio tests for testing H0 : F (x) = F0(x) versus H1 : F (x) = F0(x). They showed that their statistic does not always converge almost surely to a constant under alternatives F , and, in fact that there exists an alternative distribution function F such Rn →d supt>0 N(t)/t where N ...

We determine the Poisson ratio of self-avoiding fixed-connectivity membranes, modeled as impenetrable plaquettes, to be sigma = -0.37(6), in statistical agreement with the Poisson ratio of phantom fixed-connectivity membranes sigma = -0.32(4). Together with the equality of critical exponents, this result implies a unique universality class for fixed-connectivity membranes. Our findings thus est...

ABSTRACT Searching for X-ray and gamma-ray bursts, including Gamma-ray bursts (GRBs), Soft Repeaters (SGRs), high energy transients associated with Gravitational wave (GW) events or Fast radio (FRBs), is of great importance in the multimessenger multiwavelength era. Although a coherent search based on likelihood ratio Gaussian statistics has been established utilized many studies, this Gaussian...