A probability distribution of a random variable describes how the probabilities are distributed over the possible values of the random variable. A probability distribution shows the likelihood of ...

This paper was prepared with the partial support of the U. S. Army Research Office (Durham), grant DA-ARO (D)-31-124-G83. Note: The article usage is presented with a three- to four-day delay and will ...

Centrality measures allow to identify important nodes in networked systems. An open question in network theory is the empirical observation that a node’s centrality—whose computation requires ...

The Random123 library is a collection of counter-based random number generators ( "CBRNGs") for CPUs (C and C++) and GPUs (CUDA and OpenCL), as described in Parallel Random Numbers: As Easy as 1, 2, 3 ...

What Is A Probability Density Function? A probability density function, also known as a bell curve, is a fundamental statistics concept, that describes the likelihood of a continuous random variable ...

Abstract: We derive the exact probability density functions (pdf) and distribution functions (cdf) of a product of n independent Rayleigh distributed random variables. The case n=1 is the classical ...

I would like to show variables explicitly using "render_model" that are functions of other variables. I tried using "deterministic" or "Delta distribution" for this purpose, but this seems to not ...

After the bridge is completed, the structural materials will be gradually eroded or aged under the influence of climate, temperature, and building environment. Under long-term static and dynamic loads ...

Based on the spectral representation method of random function and combined with memoryless nonlinear translation theory, this paper analyzes the transformation relationship between potential Gaussian ...