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Probability-density-function
A probability density function (PDF) is a fundamental concept in statistics and probability theory, particularly for continuous random variables. It describes the likelihood of a random variable taking on a specific value. Unlike discrete probability distributions, where probabilities are assigned to specific outcomes, a PDF provides a density of probabilities across a range of values. The area under the curve of a PDF over a given interval represents the probability that the random variable falls within that interval. Common examples of PDFs include the normal and exponential distributions, which are widely used in various fields, including data science and machine learning.
Chapter 6 Probability density functions
The code for this chapter is in density.py . For information about downloading and working with this code, see Section 0.2 . 6.1 PDFs The derivative of a CDF is called a probability density function ,...
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Probability Mass and Density Functions
Probability mass and density functions are used to describe discrete and continuous probability distributions, respectively. This allows us to determine the probability of an observation being…
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What Is A Probability Density Function?
In the wonderful world of statistics, distributions are an absolutely vital component that sits at the center of a universe of mathematics. Distributions are used to describe data mathematically, and…...
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What Is A Cumulative Distribution Function?
Back in May, I took a look at a distribution function that belongs to most statistical distributions called the Probability Density Function, or PDF. The PDF is a very important part of statistical…
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A Gentle Introduction to Probability Density Estimation
Last Updated on July 24, 2020 Probability density is the relationship between observations and their probability. Some outcomes of a random variable will have low probability density and other outcome...
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Statistical Distributions
A probability distribution is a mathematical function that provides the probabilities of the occurrence of various possible outcomes in an experiment. Probability distributions are used to define…
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Part 03: Describing Random Outcomes: PMF, CDF, and PDF
In the previous article, we introduced the concept of a random experiment using the example of student marks in a class. Now, we will delve deeper into how we mathematically describe the likelihood of...
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The Most Common Way a Continuous Probability Distribution is Misinterpreted
Consider the following probability density function of a continuous probability distribution. Say it represents the time one may take to travel from point A to B. For simplicity, we are assuming a uni...
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The Most Common Misconception About Continuous Probability Distributions
Let me ask you a question today. Consider the following probability density function of a continuous probability distribution. Say it represents the time one may take to travel from point A to B.
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Distributions
In the previous chapter we used Bayes’s Theorem to solve a cookie problem; then we solved it again using a Bayes table. In this chapter, at the risk of testing your patience, we will solve it one mor...
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Probability
Many machine learning methods are rooted in probability theory. Probabilistic methods in this book include linear regression , Bayesian regression , and generative classifiers . This section covers t...
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How To Find Probability From Probability Density Plots
If you’ve been in data science field for quite some time, chances are you might have had made probability density plots (similar as below) to understand the overall distribution of your data. A…
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