Computer Sciences
A few years ago, the chess website Chess.com temporarily banned U.S. grandmaster Hans Niemann for playing chess moves online that the site suspected had been suggested to him by a computer program. It had reportedly previously ...
Sep 29, 2022
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20
Energy & Green Tech
A new mathematical model for predicting variations in solar irradiance has been developed at Uppsala University. It may help to promote more efficient use of electricity from solar energy. In tests of various data models, ...
Jun 29, 2020
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47
Computer Sciences
A child who has never seen a pink elephant can still describe one—unlike a computer. "The computer learns from data," says Jiajun Wu, a Ph.D. student at MIT. "The ability to generalize and recognize something you've never ...
Apr 3, 2019
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38
Computer Sciences
Online abuse targeting women, including threats of harm or sexual violence, has proliferated across all social media platforms but QUT researchers have developed a statistical model to help drum it out of the Twittersphere.
Aug 28, 2020
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19
Computer Sciences
An American University math professor and his team have created a statistical model that can be used to detect misinformation in social posts. The model also avoids the problem of black boxes that occur in machine learning.
Dec 2, 2021
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19
Engineering
Concrete sewer pipes around the world are most likely to fail either because their concrete is not strong enough or because they can't handle the weight of trucks that drive over them, a new study indicates.
Jul 27, 2020
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2
Machine learning & AI
Artificial intelligence (AI) is being harnessed by researchers to track down genes that cause disease. A KAUST team is taking a creative, combined deep learning approach that uses data from multiple sources to teach algorithms ...
Sep 2, 2019
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11
Machine learning & AI
You might have seen a recent article from The Guardian written by "a robot." Here's a sample:
Sep 18, 2020
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11
Computer Sciences
Each year, over a million children are born with a genetic disease. Although about half of genetic syndromes present facial dysmorphology, abnormal facial features are often subtle at birth and their identification by paediatricians ...
Nov 13, 2019
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5
Consumer & Gadgets
A new study by scientists at Scripps Research describes a tool that could help public health officials spot and contain COVID-19 outbreaks.
Nov 4, 2020
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6
A statistical model is a set of mathematical equations which describe the behavior of an object of study in terms of random variables and their associated probability distributions. If the model has only one equation it is called a single-equation model, whereas if it has more than one equation, it is known as a multiple-equation model.
In mathematical terms, a statistical model is frequently thought of as a pair (Y,P) where Y is the set of possible observations and P the set of possible probability distributions on Y. It is assumed that there is a distinct element of P which generates the observed data. Statistical inference enables us to make statements about which element(s) of this set are likely to be the true one.
Three notions are sufficient to describe all statistical models.
One of the most basic models is the simple linear regression model which assumes a relationship between two random variables Y and X. For instance, one may want to linearly explain child mortality in a given country by its GDP. This is a statistical model because the relationship need not to be perfect and the model includes a disturbance term which accounts for other effects on child mortality other than GDP.
As a second example, Bayes theorem in its raw form may be intractable, but assuming a general model H allows it to become
which may be easier. Models can also be compared using measures such as Bayes factors or mean square error.
This text uses material from Wikipedia, licensed under CC BY-SA
