Power laws | Probability distributions with non-finite variance | Continuous distributions

Generalized Pareto distribution

In statistics, the generalized Pareto distribution (GPD) is a family of continuous probability distributions. It is often used to model the tails of another distribution. It is specified by three parameters: location , scale , and shape . Sometimes it is specified by only scale and shape and sometimes only by its shape parameter. Some references give the shape parameter as . (Wikipedia).

Generalized Pareto distribution
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The Normal Distribution (1 of 3: Introductory definition)

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From playlist The Normal Distribution

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Introduction to the Standard Normal Distribution

This video introduces the standard normal distribution http://mathispower4u.com

From playlist The Normal Distribution

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Normal Distribution: Find Probability Given Z-scores Using a Free Online Calculator (MOER/MathAS)

This video explains how to determine normal distribution probabilities given z-scores using a free online calculator. https://oervm.s3-us-west-2.amazonaws.com/stats/probs.html

From playlist The Normal Distribution

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Order Graphs of a Normal Distribution by Standard Deviation

This video explains how to order graph from least to greatest based up the standard deviation.

From playlist The Normal Distribution

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Using a Pareto Chart Example

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From playlist Statistics

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Normal Distribution: Z-Scores

This lesson explains how to determine a z-score and how to find a z-score for a given data value. The percent of data above and below a data value and z-score is also found. Site: http://mathispower4u.com

From playlist The Normal Distribution

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QRM 4-2: The Fisher-Tippett and the Pickands-Balkema-de Haan Theorems

Welcome to Quantitative Risk Management (QRM). It is time to discuss the two fundamental theorems of EVT. We will give the necessary information, for their interpretation and use, but we will skip the proofs. Most of all, we will try to connect the two theorems, which give us extremely st

From playlist Quantitative Risk Management

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QRM 4-4: Tails in Data - Zipf Plot and Meplot

Welcome to Quantitative Risk Management (QRM). We close Lesson 4 by introducing some first tools for the graphical analysis of tails. We will deal with the exponential QQ-plot, the Zipf plot, the Fractality plot and the Meplot. More details will then follow in Lesson 5. Topics: 00:00 Int

From playlist Quantitative Risk Management

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QRM 4-3: A Bestiary of Tails

Welcome to Quantitative Risk Management (QRM). There is so much confusion about tails, that it is time to clarify what we are speaking about. Heavy tails, long tails and fat tails are not the same thing from a statistical and probabilistic point of view. In mathematics we need to be preci

From playlist Quantitative Risk Management

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Lecture 7: Pareto Optimality

MIT 14.04 Intermediate Microeconomic Theory, Fall 2020 Instructor: Prof. Robert Townsend View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/ YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2

From playlist MIT 14.04 Intermediate Microeconomic Theory, Fall 2020

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QRM 5-1: Tails in Data - MS Plot and Concentration Profile

Welcome to Quantitative Risk Management (QRM). Let us continue our discussion about the graphical tools we can use to study tails. We will consider the very useful Max-to-Sum (MS) plot, able to tell us something about the existence of moments, and the Concentration Profile, another way of

From playlist Quantitative Risk Management

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Final Exam Review

MIT 14.04 Intermediate Microeconomic Theory, Fall 2020 Instructor: Prof. Robert Townsend View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/ YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2

From playlist MIT 14.04 Intermediate Microeconomic Theory, Fall 2020

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From playlist The Normal Distribution

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EVS Session 3 POT

Extreme Value Statistics: Peak over Threshold methods

From playlist Extreme Value Statistics

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Simplified Machine Learning Workflows with Anton Antonov, Session #8: Semantic Analysis (Part 3)

Anton Antonov, a senior mathematical programmer with a PhD in applied mathematics, live-demos key Wolfram Language features that are very useful in machine learning. This session will be the part 3 where he discusses the Latent Semantic Analysis Workflows. Notebook materials are available

From playlist Simplified Machine Learning Workflows with Anton Antonov

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The Distortions of Finance

Seminar about distortion functions and Lorenz curves in finance.

From playlist Talks and Interviews

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Lecture 16: Fundamental Welfare Theorems

MIT 14.04 Intermediate Microeconomic Theory, Fall 2020 Instructor: Prof. Robert Townsend View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/ YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2

From playlist MIT 14.04 Intermediate Microeconomic Theory, Fall 2020

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Multivariate Gaussian distributions

Properties of the multivariate Gaussian probability distribution

From playlist cs273a

Related pages

Burr distribution | Differential equation | Shape parameter | Continuous uniform distribution | Statistics | Probability density function | Cumulative distribution function | Location parameter | Exponential distribution | Trigamma function | Heavy-tailed distribution | Digamma function | Generalized extreme value distribution | Pareto distribution | Polygamma function | Scale parameter | Variance | Gamma function | Extreme value theory | Probability distribution | Beta function | Expected value | Moment-generating function | Generalized Pareto distribution