independent-and-identically-distributed

Independent and identically distributed (i.i.d.) is a fundamental concept in statistics and data science. It refers to a collection of random variables that are both independent from one another and share the same probability distribution. This means that the outcome of one variable does not affect the others, and they all follow the same statistical rules. The i.i.d. assumption is crucial in various statistical methods, machine learning models, and hypothesis testing, as it simplifies analysis and helps ensure valid conclusions. Understanding i.i.d. is essential for effective data analysis and modeling in many fields.

Independent and Identically Distributed

 Towards Data Science

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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Infinitely Divisible Distribution

 Towards Data Science

Infinitely Divisible Distribution, Stable Distribution, Tempered Stable Distribution, Normal Distribution, Central Limit Theorem

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IID: Meaning and Interpretation for Beginners

 Towards Data Science

In statistics, data analysis, and machine learning topics, the concept of IID frequently appears as a fundamental assumption or condition. It stands for “ independent and identically distributed ”. An...

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Ignoring the IID assumption isn’t a great idea

 R-bloggers

The IID assumption (independent and identically distributed) is pretty important. Ignoring it can lead you to make incorrect conclusions (usually […] The post Ignoring the IID assumption isn’t a great...

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Uncorrelatedness and Independence

 Analytics Vidhya

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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Conditional Independence

 Towards AI

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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System Design #A1:- Consistency in Distributed Systems: A Fundamental Challenge

 Javarevisited

A distributed system is a collection of independent computers (nodes) that collaborate to achieve a shared objective. These nodes are interconnected through a network and operate as a unified system. ...

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