Basics of Matrix Algebra for Statistics withR

Basics of Counting Statistics

In this paper, we briefly review the scheme of counting statistics, in which a probability of the number of monitored or target transitions in a Markov jump process is evaluated. It is generally easy to construct a master equation for the Markov jump process, and the counting statistics enables us to straightforwardly obtain basic equations of the counting statistics from the master equation; t...

Genetics and statistics: The basics

The penetrance of a particular genotype at a disease locus is the probability that individuals possessing that genotype will develop the disease. More rigorously, the pentrance of a genotype-phenotype pair is defined as the probability that an individual would have the phenotype given that they have the genotype. The penetrance of a disease is said to be incomplete (or partial, or reduced) if n...

Basics of Metal Matrix Composites

Metal composite materials have found application in many areas of daily life for quite some time. Often it is not realized that the application makes use of composite materials. These materials are produced in situ from the conventional production and processing of metals. Here, the Dalmatian sword with its meander structure, which results from welding two types of steel by repeated forging, ca...

Basics of Algebra, Topology, and Differential Calculus

Matrix Algebra Package for Mathematica