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Weak Convergence and The Portmanteau Theorem

The Portmanteau Theorem provides a set of equivalences of weak convergence that still remains relevant for establishing asymptotic results in probability and statistics. While the theory around weak convergence is well developed, I was inspired to put together a writeup proving all the equivalences in a self contained manner, by first presenting the relevant theorems…

RObservations #49: Smith-Pittman Algorithm: Enhancing Community Detection in Networks

Introduction Social network analysis examines individual entities and their relationships among them. The data is represented as a “graph” where individual entities are referred to as “nodes” and their relationships between them as “edges. A primary area of study in SNA is the analysis of interconnectivity of nodes, called ”communities” and identification of clusters through…

RObservations #48: Exploring All Possible Hands in 5 card Poker

Introduction Recently, I have been reading “Mathematical Statistics” by Professor Keith Knight and I noticed a interesting passage he mentions when discussing finite sample spaces: *In some cases, it may be possible to enumerate all possible outcomes, but in general such enumeration is physically impossible; for example, enumerating all possible 5 card poker hands dealt…

RObservations #41: Making a “Matlab Pumkin” in R

Introduction A while back I saw the Mathworks LinkedIn page make a post on how it is possible to make a Pumkin and other autumn gourds with Matlab code (for a more complete list of how to make other autumn Gourds in Matlab, check out Eric Ludlam’s Github repository). Seeing this inspired me to give…

VBATime #1: Writing A Custom VLOOKUP Function With VBA

VBA is a language which I dabble with from time to time and often when making Excel-based solutions, having to use VBA becomes inevitable. Recently, I needed to create a function that worked slightly different from VLOOKUP and required me to look deeper into how VLOOKUP works. This inspired me to explore the functionality of…

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