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What is Wiener Process

Handbook of Research on Software for Gifted and Talented School Activities in K-12 Classrooms
Continuous random process keeping constant variance per unit time.
Published in Chapter:
An Educational Method for Theoretical Fields Through Dynamic Visualization
Hiroto Namihira (Otsuma Women's University, Japan)
DOI: 10.4018/978-1-7998-1400-9.ch006
Abstract
This chapter proposes a new educational methodology for theoretical contents. It aims to effectively transmit theoretical content meanings. Here, the effects of content visualization enhance the transmission of meaning. By processing visual information, the human brain can immediately understand the mutual relationships between elements in addition to the whole meaning. Comprehension becomes increasingly effective when movement is added to static information. The new educational methodology proposed here is based on such visualization. It is called “The Dynamic Visualization Method.” It is designed so students can visually set allowable conditions before processing them. This selective freedom enables students to extract their hidden leaning interests. Mathematical processes were used to verify the effectiveness of this methodology. A variety of items were thus adopted ranging from the elementary-school to university levels. The contents of those items are visualized in this chapter. The educational effects are then discussed.
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Stochastic Processes for the Risk Management
In mathematics, the Wiener process is a continuous-time stochastic process named in honor of Norbert Wiener. It is often called standard Brownian motion, after Robert Brown. It is one of the best known Lévy processes (càdlàg stochastic processes with stationary independent increments) and occurs frequently in pure and applied mathematics, economics, quantitative finance and physics.
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