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# Geometric Modeling In Probability And Statistics Pdf

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Published: 21.05.2021  This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions.

Documentation Help Center. The geometric distribution is a one-parameter family of curves that models the number of failures before one success in a series of independent trials, where each trial results in either success or failure, and the probability of success in any individual trial is constant. For example, if you toss a coin, the geometric distribution models the number of tails observed before the result is heads. The geometric distribution is discrete, existing only on the nonnegative integers.

## Geometric Modeling in Probability and Statistics

JavaScript is disabled for your browser. Some features of this site may not work without it. Dato Type Master thesis Mastergradsoppgave. Forfatter Baadshaug, Ole. ## Probability And Statistics Solved Problems Pdf

The use of geometrical methods in statistics has a long and rich history highlighting many different aspects. These methods are usually based on a Riemannian structure defined on the space of parameters that characterize a family of probabilities. In this paper, we consider the finite dimensional case but the basic ideas can be extended similarly to the infinite-dimensional case. Our aim is to understand exponential families of probabilities on a finite set from an intrinsic geometrical point of view and not through the parameters that characterize some given family of probabilities. For that purpose, we consider a Riemannian geometry defined on the set of positive vectors in a finite-dimensional space. In this space, the probabilities on a finite set comprise a submanifold in which exponential families correspond to geodesic surfaces. Matrix Theory, 29 , ## Problem Lists

It seems that you're in Germany. We have a dedicated site for Germany. Authors: Calin , Ovidiu, Udriste , Constantin. This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience.

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Buy this book. eBook 50,28 €. price for Spain (gross). Buy eBook. ISBN ​; Digitally watermarked, DRM-free; Included format: EPUB, PDF.

Coralia O. 23.05.2021 at 00:53

Statistical manifolds are geometric abstractions used to model information, their field of study belonging to Information Geometry, a relatively recent branch of.

Fectsilgeno 23.05.2021 at 09:21

Geometric modeling in probability and statistics, by O. Calin and C. Udriste, Spring- er, Cham, Switzerland, , ISBN

Vincent F. 26.05.2021 at 20:37

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Lirienne V. 30.05.2021 at 05:59

Trials, n, must be a whole number greater than 0.