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Independent and Identically Distributed
A collection of random variables is independent and identically distributed if each variable has the same probability distribution as the others and all are independent.
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Intuition for Independent and Identically Distributed
The main purpose of data science generally, and machine learning specifically, is to use the past to predict the future. Beyond the specific assumptions of various statistical models, the inescapable…...
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Uncorrelatedness and Independence
A lot of people have difficulties to differentiate principal component analysis (PCA) and independent component analysis (ICA). PCA is a machine learning algorithm that can transform a data set…
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Different Probability Distributions Part 2
Now we will see the Continuous variable distributions whereas in part 1 we saw the discrete distributions. In continuous distributions the point probability is equal to “0” and some of the…
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Independence, Covariance and Correlation between two Random Variables
In this article, I’ll talk about independence, covariance, and correlation between two random variables.
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Random Variables and Probability Distributions
Master the random variables and probability distributions and crack your next Data Science Interview with the third part of our Statistics Cheat Sheet series Photo by Naser Tamimi on Unsplash Random ...
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Conditional Independence
The independence that can be realized in the real world When it comes to probability theory we all would have heard of joint distribution, marginal distribution, independence, etc. In this article, I...
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Uncorrelated vs Independent Random Variables— Definitions, Proofs, & Examples
Regarding technical knowledge, I’m generally a proponent of having grounded understanding in the methods one is using. I don’t typically like memorizing anything and avoid doing so whenever possible…
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Distribution of a single variable
It is customary to refer to the raw numbers as data and the output of data analysis as information. You start with the data, and you hope to end with information that an organization can use for…
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Statistical independence for beginners
Intuitive interpretations with R and Excel functions Continue reading on Towards Data Science
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Probability Distribution
I’m a data scientist for a mobile application. As a data scientist, you will often draw a random sample from the population to conduct experiments or analyses. With the random sample, you make…
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Random Variable
One of the basic concepts of statistic is a Random Variable. So, what is Random Variable? Random variable links the outcome of an event to a number. Let’s take an example. X is variable which takes…
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Random Variables
In Section 2.6 we saw the basics of how to work with discrete random variables, which in our case refer to those random variables which take either a finite set of possible values, or the integers. In...
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The Normal Distribution
There’s a reason the Normal Distribution is called “normal”. Its presence can be felt throughout data science and machine learning, as well as in a variety of unexpected real-world scenarios. From…
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An Introduction to Random Variables & Probability Distribution
Random Variables: A random variable represents the outcome of statistical experiments on numerical values. Discrete Random variables: A variable that can take only the countable number of values. For…...
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Understanding Random Variables
Random variables are very important in statistics and probability and a must have if any one is looking forward to understand probability distributions. Random Variables many a times confused with…
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Understanding Transformation of Random Variables using Python
A random variable is a numerical description of the outcome of a statistical experiment. It can be discrete or continuous depending upon the outcome of experiment. We would be looking at two kinds of…...
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Statistics and probability refresher
From June 2020, I will no longer be using Medium to publish new stories. Please, visit my personal blog if you want to continue to read my articles: https://vallant.in. A foundation in statistics is…
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Chi-square Test for Independence
Data scientists sometimes need to examine if one categorical variable is related to another one in the same population. If the data is continuous, one can simply calculate the correlation between the…...
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Statistical Distributions
The normal distribution is the most important probability distribution in statistics because it fits many natural phenomena. In this article we will cover some distributions that I have found useful…
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Normal distribution
The normal distribution is a probability function that defines how the values of a variable are distributed. The normal distribution is a symmetric distribution where most of the observations cluster…...
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Statistics 101- Part 2- Probability Distributions, Types, and Applications
Definition of the probability distribution, different types of distributions, their explanation, and applications Photo by Naser Tamimi on Unsplash This article is in continuation of Statistics 101-P...
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Understanding Random Variables and Probability Distributions
Probability theory is often considered one of the fundamental pillars of machine learning, with concepts like especially the random variable and probability distribution relevant to applied machine le...
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Probability concepts explained: probability distributions (introduction part 3)
Explanation of the fundamental concepts of probability distributions. We start with writing a table to representing distribution graphically with functions, both discrete and continuous
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