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Self-similar process, the Glossary

Index Self-similar process

Self-similar processes are types of stochastic processes that exhibit the phenomenon of self-similarity.[1]

Table of Contents

  1. 27 relations: Asynchronous Transfer Mode, Benoit Mandelbrot, Burst transmission, Ethernet, File Transfer Protocol, Fractal, Heavy-tailed distribution, Internet, Long tail, Long-range dependence, Long-tail traffic, Memorylessness, Multifractal system, Multiplexing, Pink noise, Poisson distribution, Poisson point process, Self-similarity, Signalling System No. 7, State (computer science), Stochastic process, Taylor's law, Telephony, Telnet, Transmission Control Protocol, Variable bitrate, World Wide Web.

  2. Autocorrelation

Asynchronous Transfer Mode

Asynchronous Transfer Mode (ATM) is a telecommunications standard defined by the American National Standards Institute and ITU-T (formerly CCITT) for digital transmission of multiple types of traffic.

See Self-similar process and Asynchronous Transfer Mode

Benoit Mandelbrot

Benoit B. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life".

See Self-similar process and Benoit Mandelbrot

Burst transmission

In telecommunication, a burst transmission or data burst is the broadcast of a relatively high-bandwidth transmission over a short period.

See Self-similar process and Burst transmission

Ethernet

Ethernet is a family of wired computer networking technologies commonly used in local area networks (LAN), metropolitan area networks (MAN) and wide area networks (WAN).

See Self-similar process and Ethernet

File Transfer Protocol

The File Transfer Protocol (FTP) is a standard communication protocol used for the transfer of computer files from a server to a client on a computer network.

See Self-similar process and File Transfer Protocol

Fractal

In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension.

See Self-similar process and Fractal

Heavy-tailed distribution

In probability theory, heavy-tailed distributions are probability distributions whose tails are not exponentially bounded: that is, they have heavier tails than the exponential distribution.

See Self-similar process and Heavy-tailed distribution

Internet

The Internet (or internet) is the global system of interconnected computer networks that uses the Internet protocol suite (TCP/IP) to communicate between networks and devices.

See Self-similar process and Internet

Long tail

In statistics and business, a long tail of some distributions of numbers is the portion of the distribution having many occurrences far from the "head" or central part of the distribution.

See Self-similar process and Long tail

Long-range dependence

Long-range dependence (LRD), also called long memory or long-range persistence, is a phenomenon that may arise in the analysis of spatial or time series data. Self-similar process and long-range dependence are Autocorrelation and Teletraffic.

See Self-similar process and Long-range dependence

Long-tail traffic

A long-tailed or heavy-tailed distribution is one that assigns relatively high probabilities to regions far from the mean or median. Self-similar process and long-tail traffic are Autocorrelation and Teletraffic.

See Self-similar process and Long-tail traffic

Memorylessness

In probability and statistics, memorylessness is a property of certain probability distributions.

See Self-similar process and Memorylessness

Multifractal system

A multifractal system is a generalization of a fractal system in which a single exponent (the fractal dimension) is not enough to describe its dynamics; instead, a continuous spectrum of exponents (the so-called singularity spectrum) is needed.

See Self-similar process and Multifractal system

Multiplexing

In telecommunications and computer networking, multiplexing (sometimes contracted to muxing) is a method by which multiple analog or digital signals are combined into one signal over a shared medium.

See Self-similar process and Multiplexing

Pink noise

Pink noise, noise, fractional noise or fractal noise is a signal or process with a frequency spectrum such that the power spectral density (power per frequency interval) is inversely proportional to the frequency of the signal.

See Self-similar process and Pink noise

Poisson distribution

In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time if these events occur with a known constant mean rate and independently of the time since the last event.

See Self-similar process and Poisson distribution

Poisson point process

In probability theory, statistics and related fields, a Poisson point process is a type of random mathematical object that consists of points randomly located on a mathematical space with the essential feature that the points occur independently of one another.

See Self-similar process and Poisson point process

Self-similarity

In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts).

See Self-similar process and Self-similarity

Signalling System No. 7

Signalling System No.

See Self-similar process and Signalling System No. 7

State (computer science)

In information technology and computer science, a system is described as stateful if it is designed to remember preceding events or user interactions; the remembered information is called the state of the system.

See Self-similar process and State (computer science)

Stochastic process

In probability theory and related fields, a stochastic or random process is a mathematical object usually defined as a sequence of random variables in a probability space, where the index of the sequence often has the interpretation of time.

See Self-similar process and Stochastic process

Taylor's law

Taylor's power law is an empirical law in ecology that relates the variance of the number of individuals of a species per unit area of habitat to the corresponding mean by a power law relationship.

See Self-similar process and Taylor's law

Telephony

Telephony is the field of technology involving the development, application, and deployment of telecommunication services for the purpose of electronic transmission of voice, fax, or data, between distant parties.

See Self-similar process and Telephony

Telnet

Telnet (short for "teletype network") is a client/server application protocol that provides access to virtual terminals of remote systems on local area networks or the Internet.

See Self-similar process and Telnet

Transmission Control Protocol

The Transmission Control Protocol (TCP) is one of the main protocols of the Internet protocol suite.

See Self-similar process and Transmission Control Protocol

Variable bitrate

Variable bitrate (VBR) is a term used in telecommunications and computing that relates to the bitrate used in sound or video encoding.

See Self-similar process and Variable bitrate

World Wide Web

The World Wide Web (WWW or simply the Web) is an information system that enables content sharing over the Internet through user-friendly ways meant to appeal to users beyond IT specialists and hobbyists.

See Self-similar process and World Wide Web

See also

Autocorrelation

References

[1] https://en.wikipedia.org/wiki/Self-similar_process