∫ntegrabℓε ∂iﬀerentiαℓs · unorganised notes, code, and writings of random topics

Diskless Debian

August 7, 2021 blog system

This documents my attempt to create a diskless, PXE boot, NFS-supported Debian system. The device is an Intel NUC and it is served by OpenWRT routers. There are posts about PXE previously. But in summary, the workflow of such system is [more]

Hurst parameter and fractional Brownian motion

July 26, 2021 blog math code

I was introduced to the concept of self-similarity and long-range dependency of a time series from the seminal paper On the Self-Similar Nature of Ethernet Traffic by Leland et al (1995). The Hurst parameter or the Hurst exponent is the key behind all these. [more]

QQ-plot and PP-plot

July 23, 2021 blog math code

Both QQ-plot and PP-plot are called the probability plot, but they are different. These plots are intended to compare two distributions, usually at least one of them is empirical. It is to graphically tell how good the two distributions fit. [more]

Interpreting linear regression summary from statsmodels

July 16, 2021 blog math code

The python package statsmodels has OLS functions to fit a linear regression problem. How well the linear regression is fitted, or whether the data fits a linear model, is often a question to be asked. The way to tell is to use some statistics, which by default the OLS module... [more]

Bokeh, interactive widgets, and jupyterlab

July 13, 2021 blog code

Jupyter notebooks and visualization are natural marriage. It is more fun if we can skew this or that a bit by turning a knob or selecting something from a drop down. This is where so called interactive widgets come to play. There are a lot of examples on how to... [more]