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Repository or some .R files processing various datasets.

Project 1 - Analysis of the R Diamonds dataset

R Markdown file offering a statistical overview of the R Diamonds dataset available in the Tidyverse library.

Project 2 - Analysis of the R nycflights13 dataset

R Markdown file offering a statistical overview of the R nycflights13 dataset available in the library of the same name.

Project 3 - Analysis of the population of large French cities

R Markdown/Shiny App file offering a statistical overview of the population of large French cities.

Project 4 - Implementation of a linear model

Implementation of a simple linear model to try and assess validity as well as perform variable selection.

Project 5 - Fourier Regression

R Markdown file offering a demonstration of Fourier regression on a sinusoidal signal and a spike signal along with the use of BIC for model selection (of Fourier Coefficients).

Project 6 - Markov Chains and Markov Processes

R Markdown file offering a simple simulation of Markov Chains and their continuous counterpart: Markov Processes.

Project 7 - Kernel Estimation with Cross-Validation and Bootstrapping (Interspike Interval modeling)

R Markdown file offering an overview of kernel estimator cross-validation, and non- and parametric bootstrapping methods in the context of interspike intervals.

Project 8 - Simulation of Poisson Processes (Interspike Interval modeling)

R Markdown file offering an overview of homogeneous and non-homogeneous Poisson Processes and their simulation using different algorithms.

Project 9 - Simulating Point Processes

R Markdown file offering a simulation of point processes, e.g. with a thinning process.

Project 10 - Simulating PDMP

R Markdown file offering a simulation of a piecewise deterministic markov process.

Project 11 - Simulating a Hodgkin-Huxley PDMP

R Markdown file offering a simulation of a Hodgkin-Huxley piecewise deterministic markov process.

Project 11 - Simulating a Brownian Motion

R Markdown file offering a simulation of a Brownian Motion process (using a standard algorithm or Donsker's theorem)

License

MIT, see LICENSE.txt