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hypergeometric-distribution
The hypergeometric distribution is a discrete probability distribution that describes the likelihood of obtaining a specific number of successes in a sample drawn without replacement from a finite population. Unlike the binomial distribution, where the probability of success remains constant, the hypergeometric distribution accounts for the changing probabilities as items are drawn from the population. This distribution is particularly useful in scenarios such as card games or lottery systems, where the composition of the population affects the outcomes. Understanding the hypergeometric distribution is essential for data scientists and statisticians when analyzing sampling without replacement situations.
Understanding The Hypergeometric Distribution
The binomial distribution is a well-known distribution in and outside of data science. However, have you heard about its less popular cousin the hypergeometric distribution? Well if not, this post…
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Geometric Distribution Simply Explained
A simple description and uses of the Geometric distribution Continue reading on Towards Data Science
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Hypergeometric Distribution Explained With Python
With probability problems in a math class, the probabilities you need are either given to you or it is relatively easy to compute them in a straight-forward manner. But in reality, this is not the…
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Why Is The Log-uniform Distribution Useful For Hyperparameter Tuning?
Improve your grid search with this small change Continue reading on Towards Data Science
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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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Beta Distributions: A Cornerstone of Bayesian Calibration
Hi there! Distributions may not seem like a complex concept at first glance, but they are incredibly powerful and fundamental in the world of data analysis and statistics. Think about it this way: if ...
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Understanding Hyperparameters and its Optimisation techniques
What are Hyperparameters? In statistics, hyperparameter is a parameter from a prior distribution; it captures the prior belief before data is observed. Model parameters are the properties of training…...
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Smart Grid Search: Case Study with Hybrid Zeta-geometric Distributions and Synthetic Data
The objective is two-fold. First, I introduce a 2-parameter generalization of the discrete geometric and zeta distributions. Indeed, a combination of both. It allows you to simultaneously match the va...
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Visualizing Beta Distribution and Bayesian Updating
Beta distribution is one of the more esoteric distributions compared to Bernoulli, Binomial and Geometric distributions. This post supplements intuitive understanding with visual learning.
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Wiggly Distributions and Nonparametrics
Larry Wasserman’s book, All of Nonparametric Statistics, opens by describing the kinds of distributions people tend to focus on when studying nonparametric estimators: Whenever I see a constraint…
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Dirichlet Distribution: The Underlying Intuition and Python Implementation
The Dirichlet distribution is a generalization of the beta distribution. In Bayesian statistics, it is commonly used as the conjugate prior to the multinomial distribution, hence it can be used to mod...
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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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