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poisson-distribution

The Poisson distribution is a discrete probability distribution that models the number of events occurring within a fixed interval of time or space. Named after the French mathematician Siméon Denis Poisson, it is particularly useful for predicting rare events, such as the number of emails received in an hour or the number of customers arriving at a store in a day. The distribution is characterized by a single parameter, λ (lambda), which represents the average number of occurrences in the given interval. Understanding the Poisson distribution is essential for various applications in statistics, data science, and risk assessment.

Predicting the Unpredictable: An Introduction to the Poisson Distribution

Towards Data Science

The Poisson distribution is a ubiquitous discrete probability distribution. It was published by Siméon Denis Poisson in the early 19th century and since found applications in many industries…

Poisson Distribution Details with Implementation

Python in Plain English

Part 6: Statistics Series Hey, welcome back to the statistics series. In the earlier article, we studied binomial distribution. https://medium.com/python-in-plain-english/important-points-about-binomi...

Poisson Distribution -From Horse Kick History Data to Modern Analytic

Towards Data Science

Poisson distribution is probably one of the most practical statistical distributions in answering lots of questions in today world. It has been used for more than one century. The use cases can cover…...

Essential Math for Data Science: The Poisson Distribution

Towards Data Science

The Poisson distribution, named after the French mathematician Denis Simon Poisson, is a discrete distribution function describing the probability that an event will occur a certain number of times…

The Poisson Distribution

Towards Data Science

The other day on regular commute, I listened to another brilliant episode of Linear Digressions named “Better Know a Distribution: The Poisson Distribution” and I thought this will be a nice topic to…...

Exploring the Poisson Distribution

Towards Data Science

I find probability distributions would often be useful tools to know and understand, but the explanations are not always very intuitive. The Poisson distribution is one of the probability…

Generating Poisson Distributions with Shiny Web Apps

Towards Data Science

A Poisson distribution allows us to visualise the probability of an event occurring within a given time interval. The events must be independent of each other. Let’s take an example of hotel…

Mastering the Poisson Distribution: Intuition and Foundations

Towards Data Science

You’ve probably used the normal distribution one or two times too many. We all have — It’s a true workhorse. But sometimes, we run into problems. For instance, when predicting or forecasting values, s...

The Poisson distribution: From basic probability theory to regression models

R-bloggers

Brief introduction to the Poisson distribution for modeling count data using the distributions3 package. The distribution is illustrated using the number of goals scored at the 2018 FIFA World Cup, su...

Diving Into the Poisson Distribution and Poisson Process

Towards AI

What role does the Poisson distribution and Poisson process take in probability and statistics, and how is it used in real-life scenarios?

Probability Distributions: Poisson vs. Binomial Distribution

Towards Data Science

If you are not a paid member on Medium, I make my stories available for free: Friends link The Poisson and Binomial distributions are two fundamental discrete probability distributions used in data sc...

Poisson Distribution Intuition (and derivation)

Towards Data Science

Before setting the parameter λ and plugging it into the formula, let’s pause a second and ask a question. Why did Poisson have to invent the Poisson Distribution? To predict the of events occurring in...