Point process operation

Point processes | Spatial processes

In probability and statistics, a point process operation or point process transformation is a type of mathematical operation performed on a random object known as a point process, which are often used as mathematical models of phenomena that can be represented as points randomly located in space. These operations can be purely random, deterministic or both, and are used to construct new point processes, which can be then also used as mathematical models. The operations may include removing or thinning points from a point process, combining or superimposing multiple point processes into one point process or transforming the underlying space of the point process into another space. Point process operations and the resulting point processes are used in the theory of point processes and related fields such as stochastic geometry and spatial statistics. One point process that gives particularly convenient results under random point process operations is the Poisson point process, The Poisson point process often exhibits a type of mathematical closure such that when a point process operation is applied to some Poisson point process, then provided some conditions on the point process operation, the resulting process will be often another Poisson point process operation, hence it is often used as a mathematical model. Point process operations have been studied in the mathematical limit as the number of random point process operations applied approaches infinity. This had led to of point process operations, which have their origins in the pioneering work of Conny Palm in 1940s and later Aleksandr Khinchin in the 1950s and 1960s who both studied point processes on the real line, in the context of studying the arrival of phone calls and queueing theory in general. Provided that the original point process and the point process operation meet certain mathematical conditions, then as point process operations are applied to the process, then often the resulting point process will behave stochastically more like a Poisson point process if it has a non-random mean measure, which gives the average number of points of the point process located in some region. In other words, in the limit as the number of operations applied approaches infinity, the point process will converge in distribution (or weakly) to a Poisson point process or, if its measure is a random measure, to a Cox point process. Convergence results, such as the Palm-Khinchin theorem for renewal processes, are then also used to justify the use of the Poisson point process as a mathematical of various phenomena. (Wikipedia).

Hand piston pump 1

Spring ball valves are operated automatically thanks to fluid pressure. The arrows show fluid flows. The cylinder and the piston are cut off half for easy understanding.

From playlist Mechanisms

Part separation 1

This device enables feeding parts one by one to the processing machine. The blue separator is driven by a cam. STEP files of this video: http://www.mediafire.com/download/pm0y3i2d164f231/PartSeparation1STEP.zip

From playlist Mechanisms

Ratchet mechanism 6

This mechanism directly converts the continuous rotary motion of a drive shaft into the intermittent linear motion of a rack. STEP files of this video: http://www.mediafire.com/file/1c0iaa3teed88el/RatchetMechanism6STEP.zip Inventor files: http://www.mediafire.com/file/ujcw5wcp8nabb65/Ratc

From playlist Mechanisms

How hand pump works | Explained with Animation

How hand pump works | Explained with Animation This video explains the working principle of hand pump, which is used to pump water manually with the help of an easy to understand animation. In old days this mechanical water pump was commonly used to draw ground water and also get water fro

From playlist engineering explained

The Ultimate Satisfying CNC Machine Process You Need to See

In our last episode, after 3D Printers that can create out of nothing, in this episode, we take a look at CNC Machines that can give surprisingly perfect shape to the actual raw material. CNC( Computer Numerical Control) Machining is a manufacturing process in which pre-programmed compute

From playlist Satisfying Machines

Ratchet mechanism 10

This mechanism is used in hand powered electric torches to convert oscillatory motion into continuous rotation. STEP files of this video: http://www.mediafire.com/file/qo3kwb01k9pen57/RatchetMechanism10STEP.zip/file Inventor files: http://www.mediafire.com/file/enoia1bi94oc668/RatchetMech

From playlist Mechanisms

Spring Tutorial 29 - A Few More Pointcut Expressions

In this tutorial, we'll learn about a few other Pointcut expressions that can be used to advice different methods.

From playlist Spring AOP

Positioning device 14

Push pink button, turn white lever to new position and release the button.

From playlist Mechanisms

PowerPoint: Action Buttons

In this video, you’ll learn the basics of working with action buttons in PowerPoint 2019, PowerPoint 2016, and Office 365. Visit https://edu.gcfglobal.org/en/powerpoint/action-buttons/1/ for our text-based lesson. This video includes information on: • Inserting action buttons • Testing ac

From playlist Microsoft PowerPoint

Lecture 9 | New Revolutions in Particle Physics: Basic Concepts

(December 1, 2009) Leonard Susskind discusses the equations of motion of fields containing particles and quantum field theory, and shows how basic processes are coded by a Lagrangian. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies Program: http://csp.stan

From playlist Lecture Collection | Particle Physics: Basic Concepts

Lec 16 | MIT 2.830J Control of Manufacturing Processes, S08

Lecture 16: Process robustness Instructor: Duane Boning, David Hardt View the complete course at: http://ocw.mit.edu/2-830JS08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 2.830J, Control of Manufacturing Processes S08

Gap probabilities and Riemann-Hilbert problems in determinantal random point processes - Bertola

Marco Bertola Concordia University November 5, 2013 For more videos, please visit http://video.ias.edu

From playlist Mathematics

The KPZ fixed point - (Lecture 2) by Daniel Remenik

PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the

From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019

DEFCON 15: OpenBSD remote Exploit and another IPv6 vulnerabilities

Speaker: Alfredo Ortega Core Security OpenBSD is regarded as a very secure Operating System. This article details one of the few remote exploit against this system. A kernel shellcode is described, that disables the protections of the OS and installs a user-mode process. Several other pos

From playlist DEFCON 15

Operating system for beginners || Operating system basics

An operating system (OS) is system software that manages computer hardware, software resources, and provides common services for computer programs. Time-sharing #operating_systems schedule tasks for efficient use of the system and may also include accounting software for cost allocation o

From playlist Operating System

Measure Phase In Six Sigma | Six Sigma Training Videos

🔥 Enrol for FREE Six Sigma Course & Get your Completion Certificate: https://www.simplilearn.com/six-sigma-green-belt-basics-skillup?utm_campaign=SixSigma&utm_medium=DescriptionFirstFold&utm_source=youtube Introduction to Measure Phase: The Measure phase is the second phase in a six sigm

From playlist Six Sigma Training Videos [2022 Updated]

2020.04.30 Jeremy Quastel - Integrable fluctuations in 1+1 dimensional random growth

We survey the asymptotic fluctuation processes for the one dimensional KPZ universality class. In particular, we will describe the formulas for the transition probabilities of TASEP and the KPZ fixed point — the special scaling invariant Markov process at the centre of the class. We will

From playlist One World Probability Seminar

Jeremy Quastel: "Integrable fluctuations in 1+1 dimensional random growth"

High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "Integrable fluctuations in 1+1 dimensional random growth" Jeremy Quastel - University of Toronto Abstract: We survey the asymptotic fluctuation processes for the one dimensional K

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

Simple Machines (1 of 7) Pulleys; Defining Forces, Distances and MA

For the pulley simple machine this video defines the terms input and output force, input and output distance and mechanical advantage. A simple machine is a mechanical device that changes the direction and the magnitude of a force. In general, they can be defined as the simplest mechanis

From playlist Mechanics

Unix system calls (1/2)

Part of a larger series teaching programming. See http://codeschool.org

From playlist Unix system calls

Point process operation

Related pages