Probability The Probability Distribution of Composites of Normal Random Numbers
For two random numbers that follow a normal distribution, the probability distribution that their sum, product, ratio, etc. follow is shown.
kaname.hirano
Probability 
Probability Extension of the Kelly Criterion in Gambling: Mean-Variance Utility Function
As another variant of the Kelly criterion, we define the utility function in terms of the mean and variance of the assets and consider the problem of maximizing it.
Analysis Complex Functions and Schrödinger Equation
A short story about the title of the author's book "Complex Functions and the Schrödinger Equation".
Economics Extension of the Kelly Criterion in Gambling: CRRA-type Utility Function
In this article, we extend the Kelly criterion to a more general utility function (CRRA-type utility function) and explain how to determine a betting portfolio based on a gambler's risk aversion.
Physics Harmonic Oscillator and Schrödinger Equation
This article explains what kind of probability distribution the Schrödinger equation for the harmonic oscillator expresses, and presents an interpretation of the solution.
Physics Schrödinger Equation in the Free State
Let us solve the Schrödinger equation to find how the probability distribution of the coordinates at which the electron is detected changes in the free state.
Economics Pareto Principle
There was apparently an empirical rule that the top 20% of people in a nation account for 80% of the income. This rule is known as the Pareto Principle.
Logic The Ontological Proof of God Explained through Object Oriented Approach
The subject of this article is to understand Gödel's proof of the existence of God from an object-oriented perspective.
Paper A Quantum Mechanical Financial Time Series Model
An introduction to the author's paper "A Quantum Mechanical Financial Time Series Model".
Probability The Kelly Criterion in Gambling
This article will explain the specific calculation method of the Kelly criterion in gambling according to Kelly's paper.