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    • Uniform Distribution Function
    • Uniform Distribution in Python
    • Normal Distribution Function
    • Normal Distribution in Python
    • Gamma Distribution Function
    • Gamma Distribution in Python
    • Exponential Distribution Function
    • Exponential Distribution in Python
    • Poisson Distribution
    • Poisson Distribution in Python

    Perhaps one of the simplest and useful distribution is the uniform distribution. The probability distribution function of the continuous uniform distribution is: Since any interval of numbers of equal width has an equal probability of being observed, the curve describing the distribution is a rectangle, with constant height across the interval and ...

    You can visualize uniform distribution in python with the help of a random number generator acting over an interval of numbers (a,b). You need to import the uniform function from scipy.statsmodule. The uniform function generates a uniform continuous variable between the specified interval via its loc and scale arguments. This distribution is consta...

    Normal Distribution, also known as Gaussian distribution, is ubiquitous in Data Science. You will encounter it at many places especially in topics of statistical inference. It is one of the assumptions of many data science algorithms too. A normal distribution has a bell-shaped density curve described by its mean $μ$ and standard deviation $σ$. The...

    You can generate a normally distributed random variable using scipy.stats module's norm.rvs() method. The loc argument corresponds to the mean of the distribution. scale corresponds to standard deviation and size to the number of random variates. If you want to maintain reproducibility, include a random_stateargument assigned to a number. You can v...

    The gamma distribution is a two-parameter family of continuous probability distributions. While it is used rarely in its raw form but other popularly used distributions like exponential, chi-squared, erlang distributions are special cases of the gamma distribution. The gamma distribution can be parameterized in terms of a shape parameter $α = k$ an...

    You can generate a gamma distributed random variable using scipy.stats module's gamma.rvs() method which takes shape parameter $a$ as its argument. When $a$ is an integer, gamma reduces to the Erlang distribution, and when $a=1$ to the exponential distribution. To shift distribution use the loc argument, to scale use scale argument, size decides th...

    The exponential distribution describes the time between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate. It has a parameter $λ$ called rate parameter, and its equation is described as : A decreasing exponential distribution looks like :

    You can generate an exponentially distributed random variable using scipy.stats module's expon.rvs() method which takes shape parameter scale as its argument which is nothing but 1/lambda in the equation. To shift distribution use the loc argument, size decides the number of random variates in the distribution. If you want to maintain reproducibili...

    Poisson random variable is typically used to model the number of times an event happened in a time interval. For example, the number of users visited on a website in an interval can be thought of a Poisson process. Poisson distribution is described in terms of the rate ($μ$) at which the events happen. An event can occur 0, 1, 2, … times in an inte...

    You can generate a poisson distributed discrete random variable using scipy.stats module's poisson.rvs() method which takes $μ$ as a shape parameter and is nothing but the $λ$ in the equation. To shift distribution use the loc parameter. size decides the number of random variates in the distribution. If you want to maintain reproducibility, include...

    • Uniform Distributions. The uniform distribution defines an equal probability over a given range of continuous values. In other words, it is a distribution that has a constant probability.
    • Binomial Distribution. The Binomial distribution is the discrete probability distribution. it has parameters n and p, where p is the probability of success, and n is the number of trials.
    • Poisson Distribution. It gives us the probability of a given number of events happening in a fixed interval of time if these events occur with a known constant mean rate and independently of each other.
    • Exponential Distribution. In probability and statistics, the exponential distribution is the probability distribution of the time between events in a Poisson point process.
  1. Oct 11, 2023 · Learn how to measure data variability using Mean Absolute Deviation (MAD), Variance, and Median Absolute Deviation (MedAD) in Python. Explore their calculations, pros, and practical applications.

  2. Jan 14, 2019 · In this hands on guest post you will learn how to carry out probabilistic programming (e.g., Bayesian Statistics) using python, ArViz, and PyMC3.

  3. Aug 29, 2023 · By visualizing the probability density distribution of Coin 1’s marginal probabilities in a plot, we are able to understand its pattern of distribution and learn more about how it behaves within the joint distribution.

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  5. In this article, we will learn about probability distribution using Python. We will look at the four major probability distributions: normal distributions, normal distributions, poisson distributions and bernoulli distributions. We will also learn how to implement probability distributions in python. So let’s begin.

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