# Advice to hedgehogs, or, constants can vary

@article{Stirzaker2000AdviceTH, title={Advice to hedgehogs, or, constants can vary}, author={D. Stirzaker}, journal={The Mathematical Gazette}, year={2000}, volume={84}, pages={197 - 210} }

It is a trite but true remark to say that there are two fundamental random processes, one being the Poisson process and the other being Brownian motion. They are each fundamental in two ways; first, they do seem to describe much of the natural world very well, and second, the student is well-advised to study and master these two before going on to look at harder and more recondite processes. This note gives a brief glimpse of some aspects of the Poisson process, which is technically by far the… Expand

#### 8 Citations

Notes on stochastic processes Paul Keeler

- 2018

A stochastic process is a type of mathematical object studied in mathematics, particularly in probability theory, which can be used to represent some type of random evolution or change of a system.… Expand

Notes on stochastic processes

- 2016

A stochastic process is a type of mathematical object studied in mathematics, particularly in probability theory, which shows some type of a randomness. There are many types of stochastic processes… Expand

Notes on the Poisson point process

- 2016

The Poisson point process is a type of random object known as a point process that has been the focus of much study and application. This survey aims to give an accessible but detailed account of the… Expand

Bayes factors for research workers

- Computer Science
- 2018

This dissertation advocate the use of Bayes factors in empirical research to replace or complement standard null hypothesis tests based on p-values, and implemented them in Jeffreys’s Amazing Statistics Program, JASP, which is freely available and open-source. Expand

Simulation of a Cellular Automaton with Markov Chains: Applications in Self-Organized Dynamical Systems

- Computer Science, Medicine
- 2019 41st Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC)
- 2019

This work attempted to present an example of how an automaton can move in an environment with obstacles, by regulating its behavior so as to allow a decision based on rewards and penalties. Expand

Detecção de novidade para sistemas de sonar passivo

- Physics
- 2018

O som e uma onda mecânica que se propaga por grandes distâncias nos oceanos e, por essa razao, pode ser utilizado para a deteccao e classificacao de contatos em meios submarinos, tarefas basicas de… Expand

Validating high level simulation results against experimental data and low level simulation: a case study

- Computer Science
- RTNS
- 2019

This paper outlines a framework for the statistical understanding and attribution of the errors produced by a high level simulator when compared against real experiments by means of a low level simulator. Expand

#### References

SHOWING 1-10 OF 25 REFERENCES

On the integro-differential equations of purely discontinuous Markoff processes

- Mathematics
- 1940

Introduction. In the following we are converned with stochastic processes depending on a coninuous time parameter \(t\), that is to say, with some entity (change variable) whose state is specified by… Expand

THE DELAY TO PEDESTRIANS CROSSING A ROAD

- Mathematics
- 1951

independent. We assume, in other words, that vehicles arrive 'at random'. The assumption of randomness is not usually true in practice, but Adams (1936) has shown that the approximation is quite good… Expand

Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung

- Mathematics
- 1931

ZusammenfassungEin physikalischer Prozeß (die Änderung eines physikalischen Systems) heißt stochastisch-definit, wenn aus der Kenntnis des ZustandesX0 des Systems in einem gewissen Zeitmomentt0 die… Expand

Introduction to probability and its applications vol. I. (1st edn) Wiley, New York (1950)

- 1950

Spontaneous current fluctuations in electric conductors

- Annalen der Physik
- 1918