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Probability Theory Mastering

Advanced

Statistics and probability theory are fundamental tools in data analysis, decision-making, and scientific research. They provide a systematic and quantitative way to understand and interpret data, make predictions, and draw conclusions based on evidence. Show more

27 chapters

5 hours

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What you will learn

Additional Statements From The Probability Theory

Now we will understand some fundamental theoretical concepts which are used in solving real live tasks: absolutely continuous and discrete random variables, probability density function, cumulative distribution function, the characteristics of a random variable, etc.

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The Limit Theorems of Probability Theory

The limit theorems of probability theory are fundamental laws of probability theory that are often used in practice in a wide variety of areas, such as: building confidence intervals, estimating distribution parameters, providing A/B testings, creating ensembles of ML models, etc. Now we will consider two of the most commonly used: the Law of Large Numbers and the Central Limit Theorem.

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Estimation of Population Parameters

When we work with real data we usually do not know from which distribution this data was obtained. In order to determine this, we must be able to correctly estimate the parameters of this distribution and the type of distribution, which we will learn to do in this section.

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Additional Statements From The Probability Theory

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The Limit Theorems of Probability Theory

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Estimation of Population Parameters

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Testing of Statistical Hypotheses

We have already learned how to estimate the parameters of the population. But to estimate the parameter, we make an assumption about the population distribution. Can we say that our assumption is correct? How do we prove that the estimated parameters are the real parameters of the population? Can we show that two sets of samples are independent? To answer these questions, it is necessary to consider the concept of hypothesis testing.

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Ruslan Kravchuk

The main thing is to learn and not give up

The material is good, there is a lot to learn, all in order to become better and the main thing is to learn what you want....

Matteo Comune

Thanks to them I'm learning a lot…

Thanks to them I'm learning a lot faster because they help you to understand everything from scratch. It's the best website that helps people with no background in IT...

Yuliana Cadavid

great course for beginners

great course for beginners, they test your knowledge in every lesson...

Elpunzon

I am enjoying my Codefinity experience…

I am enjoying my Codefinity experience learning Python. The self-paced way of learning is great because I can fit it into my schedule...

Alexandru Alexandru

Is nice to learn from codefinity

Is nice to learn from codefinity. Its easy and have good examples on what I learned here...

jacob Templet

Easy to follow along with and provides...

Easy to follow along with and provides challenge in my every day life. The challenge keeps me wanting to learn day after day...

Elan

Codefinity is a comprehensive learning…

Codefinity is a comprehensive learning tool to help you develop your skills as a software engineer or data scientist. The exercises are fun and a good way to sharpen your skills...

Thibault

First time learning how to code

First time learning how to code and successfully doing so with codefinity - thank you...

Adrien Morel

Well designed for total beginners

Well designed for total beginners, incremental progress and makes me feel confident....

_Gracy

it's simply perfectly well explained

it's simply perfectly well explained! so far I have not experienced any difficulty because everything is so well managed...

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