Abstract: The Poisson-binomial probability density function (pdf) describes the numbers of successes in N independent trials, when the individual probabilities of ...

Abstract: This article examines the distributed filtering problem for a general class of filtering systems consisting of distributed time-delayed plant and filtering networks with semi-Markov-type ...

I am a 51-year-old guy who quit my job at a construction and environmental consulting firm this April and came to Malaysia with my children. It has been a little over half a year since I came to ...

Accurate dietary assessment plays a crucial role in public health by providing the evidence base needed to design, implement, and evaluate nutrition-related policies and interventions. Reliable ...

P(x > a) - Probability that x is greater than a P(x >= a) - Probability that x is greater than or equal to a P(x < a) - Probability that x is less than a P(x <= a) - Probability that x is less than or ...

Where \(X\) is a normally distributed random variable with mean \(\mu\) and standard deviation \(\sigma\). The peak of the curve occurs at \(x=\mu\), and the spread ...

Most people are familiar with conventional cubical six-sided dice, but there are also polyhedral versions like the 20-sided dice used in ancient Rome and to play Dungeons and Dragons. Researchers have ...

The binomial distribution is a key concept in probability that models situations where you repeat the same experiment several times, and each time there are only two possible outcomes—success or ...

The Binomial test, sometimes referred to as the Binomial exact test, is a test used in sampling statistics to assess whether a proportion of a binary variable is equal to some hypothesized value. In ...

This library provides a reference implementation of gsd probabilities for correctness and efficient implementation of samples and log_probabilities in jax. Theoretical derivation of GSD is described ...