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

I have recently been studying for the Statistical Test Grade Pre-1. Starting from this time, I have entered Chapter 5, "Discrete Distributions." The problem this time is about a student who claims, "I ...

In this article, we will use linearity to handle the "bag of balls problem," which frequently appears in entrance exam probability questions. We will find the expected value of the number of red balls ...

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 ...

Augmented inverse probability weighting (AIPW) is a doubly robust estimator for causal inference. The AIPW package is designed for estimating the average treatment effect of a binary exposure on risk ...

Self-funded student: register by the 10th of the month, start on the 1st of the next. Funded student: please check the next enrolment deadline and course start date. This is a three-credit, ...

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 ...