A novel formula for spectra of one-sided fractional Brownian Motion is established.
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On Importance of Log-Normality in Hypothesis Testing
Normality of data is important in statistics, so it is not a surprise that transforming data to look closer to a normal distribution can be beneficial in many ways. There are ways of finding the right transform, such as the popular Box-Cox method 1,2. In this post, I will share an elegant example on how …
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Normality of Inverse Gaussian
The post discusses normal approximations to the inverse gaussian distribution.
Optimizing Docker Images – A Case Study
Docker is a modern technology for containerizing software. While packaging to a working version is relatively easy, creating a lightweight Docker image presents a challenge. In this note, I will briefly discuss an example from my university class on software engineering. The task was to containerize a card game web application, written by students as …
Making SSH work by proxy
It is a popular misbelief that hiding encrypted connections (SSH) behind a proxy is a dark domain reserved to crime activities. You may need a Russian or Iranian proxy to get your coding job done, when firewalls of your favourite coffee place or wifi in travel forbid the use of SSH. As this happens to …
Free and robust Tweets extraction
As anticipated by many, Twitter stopped offering its (limited!) API for free 1. Now, what options do you have to programmatically access the public content for free?In this context, it is worth mentioning the library snscrape, a tool (well-maintained as of now) for extracting the content from social media services such as Facebook, Instagram or …
Expanding Inverse Functions
The problem of inverting the implicit function $$y=f(x)$$ in the form of power-series $$x = a + \sum_{k=1}^{\infty} b_k (y-f(a))^k$$ around a point of interest $x=a$, has a long history. Lagrange obtained a theoretical inversion formula ((https://mathworld.wolfram.com/LagrangeInversionTheorem.html)), yet efficient implementations are relatively recent ((Brent, Richard P., and Hsiang T. Kung. “Fast algorithms for manipulating formal …
Iron logic defeats strawman
The straw man rhetorical technique is widely used: from scientific reviews (academia), through job interviews (industry) to the political discourse (international relations). The idea is simple: you distort arguments or opposing views to easier refute them. Not only is this trick popular, but proven successful statistically. The best weapon against it is logically strict reasoning. …
Can Russia defend its economy from sanctions?
While western leaders are proud of imposing largest sanctions ever, it seems that Russia can withstand the crisis longer than some expect. The following two points, underrepresented in popular media, support this claim: Historical AnalogyRussia’s went through 2014 financial crisis, where the currency significantly lost its value (from mid 30-s to around 80 for one …
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On Subgaussian Concentration of Missing Mass
The problem of missing mass goes back to the cryptographic work of Good and Turing during WWII, but has been also studied in the context of linguistic, ecology, and by probability theoreticians. The missing mass is defined as the weight of elements not observed in a sample, due to pure chance: Such an event and …
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