Abstract: Complex random variables arise naturally in many settings and their properties are of general interest. Past work on complex variables has mainly focused on their second-order structure, as ...

Abstract: Traditionally, the uncertainty qualification is utilized with the known probability distribution function (PDF). However, in some scenarios, the PDFs of some uncertain variables are modeled ...

TensorFlow Probability is a library for probabilistic reasoning and statistical analysis in TensorFlow. As part of the TensorFlow ecosystem, TensorFlow Probability provides integration of ...

Probabilistic models, such as hidden Markov models or Bayesian networks, are commonly used to model biological data. Much of their popularity can be attributed to the existence of efficient and robust ...

Edited by Thomas C. Südhof, Stanford University School of Medicine, Stanford, CA, and approved August 15, 2016 (received for review March 31, 2016) ...

To find the probability that a random sample of 1,000 people contains less than 48.5% female or more than 53.5% female when the population's female ratio is 51.1%, we use the binomial distribution.

Fine-scale exogenous attention within the foveola selectively enhances contrast gain at low-to-mid spatial frequencies while increasing response gain across a broad spatial frequency range.