Posts

A Note on R Function base::sample()

It is about a defect in R function sample()

Last updated on Jun 17, 2023 2 min read

Proof of $(n+1)^n < n^{n+1}$

Last updated on Mar 12, 2023 1 min read

Solving a Three-Dice Problem Using Two Approaches

I discuss a 3-dice problem and then generalize it to an n-dice problem.

Last updated on Feb 26, 2023 4 min read

Poof of cos(sin(x)) > sin(cos(x))

Solving another problem on Quora—high school math.

Last updated on Feb 18, 2023 2 min read

Solving a Probability Problem on Quora

Generalize a problem on Quora and then solve it.

Last updated on Jan 28, 2023 3 min read

Covariance of X-bar and S

This is an interesting exercise.

Last updated on Dec 18, 2022 1 min read

Covariance of Sample Mean and Sample Standard Deviation

Without the assumption of normality we derive the first order asymptotic covariance of the sample mean and sample standard deviation in a rather elementary way. This paper was written in September 2014.

Last updated on Oct 29, 2022 4 min read

Estimating Overall Covid-19 Infection Rate of New Zealand

I touch upon covid. Enjoy reading!

Last updated on Aug 14, 2022 4 min read

A Note on Reducing Bais With Delete-1 Jackknife

I got interest in Jackknife recently, wanting to write down this note for future myself. It might be useful for other people as well.

Last updated on Aug 20, 2022 4 min read

Notes on plotting matrices

I write down a couple of notes on plotting matrices. You can see some amazing pictures; I promise.

Last updated on Mar 6, 2022 4 min read