Context. Two-point correlation functions are used throughout cosmology as a measure for the statistics of random fields. When used in Bayesian parameter estimation, their likelihood function is usually replaced by a Gaussian approximation. However, this has been shown to be insufficient. Aims. For the case of Gaussian random fields, we search for an exact probability distribution of correlation...

We consider the secular-perturbation expansion of the classical Hamiltonian equations of motion for three mutually gravitating bodies, and we use the formalism to study the dynamical evolution of hierarchical three-body systems to octupole-level accuracy. Our study is partly motivated by recent observations of exoplanetary systems, which may include two giant planets strongly perturbing each ot...

Travel time reliability assessment has been widely used in recent years to evaluate the performance of transportation networks and measure operation level systems. Weather, as one important factors influencing travel reliability, affects relationship between supply requirement urban road networks. Considering traffic characteristics under different conditions, a study on influence weather condi...

in this paper, we deal with fuzzy random variables for inputs andoutputs in data envelopment analysis (dea). these variables are considered as fuzzyrandom flat lr numbers with known distribution. the problem is to find a method forconverting the imprecise chance-constrained dea model into a crisp one. this can bedone by first, defuzzification of imprecise probability by constructing a suitablem...

We investigate the combined effect of spin-orbit scattering and electron-electron interactions on the probability distribution of g factors of metal nanoparticles. Using random matrix theory, we find that even a relatively small interaction strength significantly increases g-factor fluctuations for not-too-strong spin-orbit scattering (ratio of spin-orbit rate and single-electron level spacing ...

My new findings from firm-level surveys show that both a firm’s probability of exporting and a firm’s exporting volume increase with the firm’s age after controlling productivity as well as that both probability of and quantity of export are higher among financially non-constrained firms, after controlling age and productivity. This paper develops a model with credit-constrained, heterogeneous ...

Vehicular Ad-hoc Networks (VANETs) have recently attracted a lot of attention, as a tool to disseminate information among vehicles with the dual purpose of increasing road safety and comfort in driving. The majority of messages exchanged by vehicles are characterized by a finite lifetime period, after which, their level of usefulness is greatly reduced. Thus, an important problem in VANETs is t...

Light curves of microlensing events involving stellar binaries and planetary systems can provide information about the orbital elements of the system due to orbital modulations of the caustic structure. Accurately measuring the orbit in either the stellar or planetary case requires detailed modeling of subtle deviations in the light curve. At the same time, the natural, Cartesian parameterizati...