stefanengineering.com

Post With Code

news
code
analysis
This is a post with executable code.
Dec 11, 2022
Harlow Malloc

Welcome To My Blog

news
This is the first post in a Quarto blog. Welcome!
Dec 8, 2022
Tristan O’Malley

Sum of uniform random variables until sum is greater than one

math
I saw this problem on r/probabilitytheory
Nov 10, 2022
R package build

Joint distribution of sums of exponential random variables

math
This is a problem from Ross’s Stochastic Processes [1]. Let \[ \begin{aligned} S_1 &= X_1\\ S_2 &= X_1 + X_2\\ S_3 &= X_1 + X_2 + X_3 \end{aligned} \] where \(X_1, X_2, X_3\) are i.i.d exponential random variables with…
May 17, 2020
Stefan Eng

Probability of even/odd using probability generating functions

math
A probability generating function for a discrete random variable \(X\) taking values \(\{0,1,\ldots\}\) is defined as \[ G(z) = E[z^X] = \sum_{j = 0}^\infty z^j P(X = j) \]
May 15, 2020
Stefan Eng

Inside a Basel Novartis Internship

job
personal
This summer I had the privilege of doing a 3 month summer (2019) internship at Novartis’ head office in Basel, Switzerland. I worked in the Scientific Computing and…
Sep 1, 2019
Stefan Eng

Dynamic R Markdown Reports with Shiny

R
development
TL;DR here is an example application. See the explaination below.
Aug 31, 2019
Stefan Eng

Introduction to Time Series

statistics
\[ X_t = m_t + s_t + y_y \] where - \(m : \mathbb{Z} \rightarrow \mathbb{R}\) is a slowly changing function, the trend component. - \(s : \mathbb Z \rightarrow \mathbb R\) is a function with a known…
Jul 6, 2019
Stefan Eng

1990 to 1992 Census Crime Rate Prediction.

R
school
project
We are considering a dataset that provides some demographic information for 440 of the most populous counties in the United States in years 1990-92. Each line of the dataset…
Feb 8, 2019
Stefan Eng

Cloze Deletion Prediction with LSTM Neural Networks

machine-learning
project
A cloze deletion test is a form of language test where a sentence (or paragraph) is given to the test taker with blanks for missing words [7]. The student is expected to…
Nov 5, 2018
Stefan Eng
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