Mathematical Statistics (2024): Lecture 16

Confidence Intervals!

In this video:
🔹 A Difference of Chi-Squareds? 0:42
🔹 Degrees of Freedom 2:30
🔹 An Intro to Confidence Intervals 5:00
🔹 A Confidence Interval for the Mean of a Normal Distribution (Variance Known) 11:59
🔹 A Confidence Interval for a Mean Using the CLT 29:52
🔹 A Large Sample Confidence Interval for the Mean of a Normal Distribution (Variance Unknown) 33:00
🔹 A Small Sample Confidence Interval for the Mean of a Normal Distribution (Variance Unknown) 36:31
🔹 Confidence Intervals Unleashed! No Normal Distributions!!! 58:24

New videos release every Tuesday and Thursday!

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[ryanchicago]

Dr. Corcoran, thank you for the wonderful lecture. I have a question concerning approaches and perspectives to/on OCR, and was wondering if you have any good suggestions for literature. Here are some talking points about which I'm looking to study the modeling:

1) How to detail classes and data vectors, breaking down a 2D space into a tree.

2) How to identify, and fidget with, blocks of data at each level.

3) How to remove the coffee splotch, the speck, the scan line, etc... while recovering the original font. As an example, using confidence intervals! :)

4) How to deal with systematics such as repeated coffee splotches; or bends or creases near the spine.

The goal here is to take old scanned books, and to reproduce something close to the original proof - font(s) included. I would expect there to already be an academic solution people use for online libraries; but have only found "the tesseract" which is what is the primary automated solution at the university.

Thanks very much.