Batı Şengül
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Recent content on Batı ŞengülHugo -- gohugo.iobatisengul@gmail.combatisengul@gmail.comTue, 07 Nov 2017 00:00:00 +0000Bayes of our lives: a gentle introduction to Bayesian statistics
http://www.batisengul.co.uk/post/bayes-of-our-lives-a-gentle-introduction-to-bayesian-statistics/
Tue, 07 Nov 2017 00:00:00 +0000batisengul@gmail.comhttp://www.batisengul.co.uk/post/bayes-of-our-lives-a-gentle-introduction-to-bayesian-statistics/Bayesian statistics is an interpretation of statistics. It is used to help explain the frequentist methods and can give much more information. Even if you have never really learnt about Bayesian statistics, I guarantee you have encountered it in some way.
Bayes, it’s everywhere
In this post, we will only consider a linear model: \(y = \beta x + \epsilon\) where \(\epsilon\) is a standard normal. Suppose we have gathered some data \((Y=\{y_i\}_{i=1}^n, X=\{\{x_{k,i}\}_{k=1}^p\}_{i=1}^n)\), which consist of \(p\) predictors and \(n\) observations, and we wish to fit a linear model.Analysis of calving of JH Dorrington Farm Part III
http://www.batisengul.co.uk/post/analysis-of-calving-of-jh-dorrington-farm-part-iii/
Tue, 10 Oct 2017 00:00:00 +0000batisengul@gmail.comhttp://www.batisengul.co.uk/post/analysis-of-calving-of-jh-dorrington-farm-part-iii/Drum roll please. This is the long awaited third and final part of the analysis from JH Dorrington Farm. If you have not already, read the first part and second part.
Leaving where I left off, almost all of our models fit pretty well except for CART, so in what follows, I will ignore the CART model. That leaves us with linear regression models and MARS. MARS essentially builds a piecewise linear model using hinges.Analysis of calving of JH Dorrington Farm Part II
http://www.batisengul.co.uk/post/analysis-of-calving-of-jh-dorrington-farm-part-ii/
Fri, 22 Sep 2017 00:00:00 +0000batisengul@gmail.comhttp://www.batisengul.co.uk/post/analysis-of-calving-of-jh-dorrington-farm-part-ii/This is the second part of the analysis for the data from JH Dorrington Farm. You might want to read the first part before reading this one.
Before we put on our science hats, let us make an outline for what we will do. Previously we split the data into training and test sets 80/20. We will fit all of our models and calibrate them on the training set. Decisions about keeping/dropping predictors, transforming predictors and which model to chose will be left to the test set.Analysis of calving of JH Dorrington Farm Part I
http://www.batisengul.co.uk/post/analysis-of-calving-of-jh-dorrington-farm-part-i/
Tue, 19 Sep 2017 00:00:00 +0000batisengul@gmail.comhttp://www.batisengul.co.uk/post/analysis-of-calving-of-jh-dorrington-farm-part-i/Here I will analyse a real life problem. My friend Chris at JH Dorrington Farm has kindly provided me with the data and allowed me to make this post. This will be several parts as I explore the data and try to fit various models.
I’m going to stop milking this introduction and get right to it.
My friend Chris has been collecting various forms of data about his cows.Correlation in linear regression
http://www.batisengul.co.uk/post/correlation-in-linear-regression/
Sun, 03 Sep 2017 00:00:00 +0000batisengul@gmail.comhttp://www.batisengul.co.uk/post/correlation-in-linear-regression/If you have a data set with large number of predictors, you might use some basic models to try and eliminate some of the predictors that don’t show a significant relationship to the response variable. In such cases it is important to look at the correlation between the predictors. How important? Let’s find out.
Let us consider a very simple example here with two predictors and one response variable.
set.seed(2017) data = tibble(x1 = rnorm(1000)) %>% mutate(y = 2 * x1^3 + rnorm(1000), x2 = 1.About me
http://www.batisengul.co.uk/page/about/
Mon, 01 Jan 0001 00:00:00 +0000batisengul@gmail.comhttp://www.batisengul.co.uk/page/about/I am a quantitative analyst at Bank of America Merrill Lynch. In a previous life, I was a probabilist working in academia. I obtained my PhD from the University of Cambridge, working with Nathanael Berestycki. Then I moved onto doing a postdoc at the University of Bath with Andreas Kyprianou, and a brief postdoc at King’s College London before moving into industry.Publications
http://www.batisengul.co.uk/page/papers/
Mon, 01 Jan 0001 00:00:00 +0000batisengul@gmail.comhttp://www.batisengul.co.uk/page/papers/Existence of a phase transition of the interchange process on the Hamming graph [pdf] [arxiv] with Piotr Miłoś
submitted Cutoff for conjugacy-invariant random walks on the permutation group [pdf] [arxiv] with Nathanaël Berestycki
submitted Exceptional times of the critical dynamical Erdős-Rényi graph [pdf] [arxiv] with Matthew Roberts
Annals of Applied Probability (to appear) Asymptotic number of caterpillars of regularly varying Lambda-coalescents that come down from infinity [pdf] [arxiv] Electronic journal of probability (to appear) Deep factorisation of the stable process II; potentials and applications [pdf] [arxiv] with Andreas Kyprianou and Victor RiveroSoftware
http://www.batisengul.co.uk/page/software/
Mon, 01 Jan 0001 00:00:00 +0000batisengul@gmail.comhttp://www.batisengul.co.uk/page/software/ A Google Chrome extension which automatically sets a desired quality on YouTube videos.
This is a package written for the Atom.io text editor which implements latex autocompletions.
A Google Chrome extension which displays the rating from IMDB on BBC iPlayer.
Imports bibtex references from MathSciNet. You need a subscription/access to MathSciNet.