Stefan Eng
About
stefanengineering.com
Categories
All
(10)
R
(2)
development
(1)
job
(1)
machine-learning
(1)
math
(3)
personal
(1)
probability
(1)
project
(2)
school
(1)
statistics
(3)
Remembering common probability densities and integrals
statistics
probability
One common issue that happens to new students of statistics and probability is attempting to remember probability density/mass functions and common integrals and sums needed…
Oct 14, 2023
Stefan Eng
Likelihood ratio test for 2x2 independence
statistics
Assume that
\(n_1\)
and
\(n_2\)
are fixed and we sample from binomial distributions with success probability
\(p_1\)
and
\(p_2\)
. Then…
Sep 17, 2023
Stefan Eng
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
No matching items