What is a beta-binomial distribution?

Abstract. The statistical method of motor unit number estimation (MUNE) uses the natural stochastic variation in a muscle's compound response to electrical ... Introduction. A situation in which an experiment (or trial) is repeated a fixed number of times can be modelled, under certain assumptions, by the binomial ... Normal distribution describes continuous data which have a symmetric distribution, with a characteristic 'bell' shape. A binomial experiment takes place when the number of successes is counted in one or more Bernoulli Trials. Aug 13, 2019 ... Using these packages ( MASS gets you the negative binomial distribution functions): > library(MASS) > library(raster). Mar 13, 2025 ... Swiss mathematician Jakob Bernoulli, in a proof published posthumously in 1713, determined that the probability of k such outcomes in n ... The binomial parameter, denoted , is the. ; thus, the p probability of success probability of failure p q p is 1– or often denoted as . Feb 12, 2025 ... In this article, we'll walk through the basics of binomial distribution, how to set it up in Excel, and ways ChatGPT can assist you in the process. Binomial distribution. n trials; p = probability of success, each trial; each trial independent. If n = 7, how many ways are there of getting 3 successes? 1 ... 13.1.3 Stan Functions ... Generate a negative binomial variate with shape alpha and inverse scale beta ; may only be used in transformed data and generated ...