Subhrajyoty Roy
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  • Concept Guides
  • Technical Materials
  • Reflections
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Categories
All (4)
Consistency (2)
Depedent Data (1)
Proof Technique (2)
Statistics (1)

Notes

This is a place where I share some of my notes. If you find an error, I am the one responsible to take the blame, but I would love if you please submit a pull request and correct the error. You can also get in touch with me here.

Concept Guides

These are the various notes that I use to learn a new topic / material. These reflect my own understanding of various topics, as guided by the various resources I used to learn them.

Robust Statistics

Robust statistics notes coming soon.
5 words

Spatial Statistics

Statistics
Depedent Data
Often we find ourselves with a dataset which has a location / spatial information that should be part of the modelling. This can be useful to model the dependence structure…
July 12, 2025
598 words
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Also take a look at some of my blogs posts as follows:

  • An eight-part tutorial series on Natural Language Processing is available at my substack.

  • A six-part tutorial series on the basics of Generative AI is available at my substack.

  • A seven-part tutorial series on the basics of Reinforcement Learning is available at my substack.

  • A three part series on how to do natural language text processing using R.

    • Text mining in R.
    • Text Classification in R.
    • Changepoint Analysis of Linguistics in R.

Technical Materials

These are like some of the useful proof techniques, some puzzles and interesting mathematical (or statistical) problems I have collected over the years.

Proof of Uniform Consistency

Proof Technique
Consistency
Let us assume that \(f\) be a function and \(f_n\) be its empirical counterpart (possibly stochastic). Let \(x \in \chi\) be some input variable, \(\chi\) is some abstract…
November 8, 2025
1,009 words

Proof of Statistical Consistency of an Optimizer

Proof Technique
Consistency
Suppose you have a function \(Q(\theta)\) and its empirical counterpart is given by \(Q_n(\theta)\). Let \[ \theta^* = \arg\max_{\theta \in \Theta} Q(\theta), \…
April 13, 2024
277 words
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Also take a look at,

  • Practice questions and solutions to various assignments of the B.Stat. programme at Indian Statistical Institute, Kolkata.
  • Practice questions and solutions to various assignments of the M.Stat. programme at Indian Statistical Institute, Kolkata.

Reflections

These are my own way of understanding the ways of the world, again guided by various non-fiction books, podcasts and a few philosophy lessons.

No matching items

Recommended Resources

Internet is full of interesting things. Here’s a few that I like:

  1. Seeing Theory. http://seeing-theory.brown.edu/ - Interactive Visualization of Introduction of Probability and Statistics.
  2. The Idea behind Explorable Explorations: https://blog.ncase.me/explorable-explanations/. And here’s the list of such explanations: https://explorabl.es/.
  3. Alexander Bogomolny’s post on the Area of Circle by Rabbi Abraham bar Hiyya Hanasi - Probably the best proof that I have seen for showing that the area of a circle is half of the radius times the circumference.
  4. The Mathematics of Juggling - Allen Knutson.
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