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Size-biased permutation (SBP) is a random arrangement of frequencies of distinct categories in the order in which the categories appear for the first time in the sampling process. We study the ...

This is the course webpage for Math304, Department of Mathematics, Simon Fraser University. Spring 2021. In this course we will investigate Rubik's cube, the 15-puzzle, TopSpin, and other permutation ...

The following section discusses the statistical tests performed in the MULTTEST procedure. For continuous data, a t-test for the mean is available. For discrete variables, available tests are the ...

Let the random variable $Z_{n,k}$ denote the number of increasing subsequences of length k in a random permutation from $S_{n}$, the symmetric group of permutations ...

A new proof from the Australian science fiction writer Greg Egan and a 2011 proof anonymously posted online are now being hailed as significant advances on a puzzle mathematicians have been studying ...

The universal genetic code is made up of several codons or triplet bases. The standard code has evolved over time to minimize coding errors. There are a total of 64 codons in the genetic code arising ...