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Topic: Erlang distribution

Related Topics

Gamma distribution

Probability distribution

Erlang unit

Laplace distribution

Poisson distribution

Exponential distribution

Negative binomial distribution

Weibull distribution

Poisson process

Erlang programming language

Queueing theory

Call centre

Expected value

Rayleigh distribution

Queueing delay

	Erlang distribution - Wikipedia, the free encyclopedia
		The Erlang distribution is a continuous probability distribution with wide applicability primarily due to its relation to the exponential and Gamma distributions.
		Erlang to examine the number of telephone calls which might be made at the same time to the operators of the switching stations.
		The Erlang distribution is a special case of the Gamma distribution where the shape parameter k is an integer.
	en.wikipedia.org /wiki/Erlang_distribution (620 words)

	APPENDIX D Statistical Distributions
		A location parameter l specifies an abscissa (x axis) location point of a distribution's range of values; usually, l is the midpoint (e.g., the mean of a normal distribution) or lower endpoint (e.g., location for a Pearson type V distribution) of the distribution's range.
		This distribution is similar to the classical normal distribution, but if a negative value is generated, it is rejected and new values are generated until a non-negative value is generated.
		The geometric distribution (discrete) with probability = p can be thought of as the distribution of the number of failures before the first success in a sequence of independent Bernoulli trials, where success occurs on each trial with a probability of p and failure occurs on each trial with a probability of 1 - p.
	www.caciasl.com /docs/UsersManualHTML43/Output/SPUser-26-1.html (2660 words)

	Erlang Distribution (Site not responding. Last check: 2007-10-08)
		The Erlang distribution is a special case of the gamma distribution where the shape parameter is an integer.
		To be consistent with the documentation, the terms scale and shape have been used, however, the scale is the equivalent of the mean of an exponential distribution and the scale is the number of exponentially distributed events.
		However, BW D-Calc 1.0 treats the Erlang distribution as a Gamma function, hence the use of the Incomplete Gamma function for F(x).
	www.brighton-webs.co.uk /distributions/erlang.asp (167 words)

	[No title]
		The importance of the central limit theorem is that we can use the normal distribution to approximate the sampling distribution of the sample mean y bar as long as the population possesses a finite mean and variance, and the number n of measurements in the sample is sufficiently large.
		A Uniform Distribution is one for which the probability of occurrence is the same for all values of X. It is sometimes called a rectangular distribution.
		The Erlang distribution is characterized by two parameters k and l, and hence it is generally described as the Erlang (k,l) distribution.
	www.eng.morgan.edu /~slh/410CLT.html (3053 words)

	Erlang Distribution (Site not responding. Last check: 2007-10-08)
		The Erlang distribution (continuous) could be used to model the time required to perform some task.
		An Erlang distribution is just a gamma distribution whose shape parameter is a positive integer.
		The sum of k exponential random variables with mean = m is an Erlang distribution with mean = km and shape = k.
	www.caciasl.com /docs/sp412/webhelp/SPHelp/erlang_distribution.html (99 words)

	Contents (Site not responding. Last check: 2007-10-08)
		Distribution - Erlang is designed to be run in a distributed environment.
		A distributed Erlang system is a network of Erlang nodes (typically one per processor).
		Processes in a distributed system can be configured to fail-over to other nodes in case of failures and automatically migrate back to recovered nodes.
	www.dcs.shef.ac.uk /~qiang/forse/Erlang.htm (390 words)

	The Gamma, Beta and Erlang distribution online. (Site not responding. Last check: 2007-10-08)
		The Erlang distribution is a special case of the Gamma distribution were one value, in the c-box, has to be an integer.
		To revert the cummulative gamma distribution fill in the c and b box and additionally in the % box a value between 0 and 1.
		To revert the cummulative beta distribution fill in the c and b box and additionally in the % box a value between 0 and 1.
	home.clara.net /sisa/gammahlp.htm (454 words)

	Frequently Asked Questions about Erlang (Site not responding. Last check: 2007-10-08)
		Erlang is good at solving these sorts of problems because this is the problem domain it was originally designed for.
		Applications written in Erlang are often composed of hundreds or thousands of lightweight processes.Context switching between Erlang processes is typically one or two orders of magnitude cheaper than switching between threads in a C program.
		People use Erlang for all sorts of surprising things, for instance to communicate with X11 at the protocol level, but, there are some common situations where Erlang is not likely to be the language of choice.
	www.erlang.org /faq/t1.html (983 words)

	Subclasses of PH distribution
		That is, a mixture of exponential distributions is a hyperexponential distribution.
		An acyclic PH distribution is called an Erlang distribution if the Markov chain whose absorption time defines the acyclic PH distribution has the following three properties: (i) the initial state is a unique non-absorbing state, (ii) for each state, the next state is unique, and (iii) the sojourn time distribution at each state is identical.
		A mixed Erlang distribution is illustrated in Figure 2.8(d), where an Erlang-2 distribution and an Erlang-3 distribution are mixed.
	www.cs.cmu.edu /~osogami/thesis/html/node41.html (330 words)

	Excel Statistical Functions: GAMMAINV
		Special cases of the Gamma distribution include the Exponential distribution when alpha equals 1 and the Erlang distribution when alpha is a positive integer greater than 1.
		Therefore the Chi-Square distributions (for any number of degrees of freedom), the Exponential distributions, and the Erlang distributions are all special cases of the family of Gamma distributions.
		The sum of the durations of the four stages has an Erlang(4) distribution where the parameter, 4, is the number of independent Exponential random variables summed to create the Erlang.
	support.microsoft.com /default.aspx?kbid=828334 (1095 words)

	Gamma Distribution
		When used to describe the sum of a series of exponentially distributed variables, the shape factor represents the number of variables and the scale factor is the mean of the exponential distribution.
		A chi-squared distribution is a gamma distribution in which the shape parameter set to the degrees of freedom divided by two and the scale parameter set to two.
		The Erlang distribution is used to model the total interval associated with multiple Poisson events, The shape parameters represents the number of events and the scale parameter the average interval between events.
	www.brighton-webs.co.uk /distributions/gamma.asp (487 words)

	The Erlang Fix : Haskell vs. Erlang, Reloaded (Site not responding. Last check: 2007-10-08)
		Erlang is free of side effects (built-in function aside) just like Haskell but pattern-matching becomes far easier and the code becomes much smaller when you don’t have to deal with static typing.
		Erlang processes (327 bytes starting up, including heap) come with a message queue and you retrieve messages with “selective receive” that uses the same pattern-matching facilities as everything else.
		Erlang provides the disk_log module that logs to disk anything sent to the logger process.
	wagerlabs.com /articles/2006/01/01/haskell-vs-erlang-reloaded (2725 words)

	Erlang whitepaper
		Erlang is a programming language which has many features more commonly associated with an operating system than with a programming language: concurrent processes, scheduling, memory management, distribution, networking, etc.
		In contrast to, for example C variables, Erlang variables can only be assigned once - when a variable has been bound to a value, we cannot bind it to a new value.
		Erlang is designed for programming "robust" systems, so there are a number of primitives for trapping errors.
	www.erlang.org /white_paper.html (2050 words)

	Agner Krarup Erlang - Wikipedia, the free encyclopedia
		Agner Krarup Erlang (January 1, 1878–February 3, 1929) was a Danish mathematician, statistician, and engineer who invented the fields of traffic engineering and queueing theory.
		Erlang was born at Lonborg (Lønborg), near Tarm, in Jutland.
		Erlang was also an expert in both the history and calculation of the numerical tables of mathematical functions, particularly logarithms.
	en.wikipedia.org /wiki/Agner_Krarup_Erlang (636 words)

	Probability distribution - Wikipedia, the free encyclopedia (via CobWeb/3.1 planet03.csc.ncsu.edu) (Site not responding. Last check: 2007-10-08)
		A probability distribution is a special case of the more general notion of a probability measure, which is a function that assigns probabilities satisfying the Kolmogorov axioms to the measurable sets of a measurable space.
		The rectangular distribution is a uniform distribution on [-1/2,1/2].
		The triangular distribution on [a, b], a special case of which is the distribution of the sum of two uniformly distributed random variables (the convolution of two uniform distributions).
	en.wikipedia.org.cob-web.org:8888 /wiki/Probability_distribution (1470 words)

	The Managed Resource Interface
		If the distributed model is not extended, an extension has to be implemented on top of the MRI as an independent agent [3].
		The Erlang distribution allows the monitoring of the CP Erlang nodes controlled by the EM Erlang node through the monitor_node/2 BIF.
		The type system in Erlang allows for alarms and state changes to be treated in the same manner, the only difference being that an active alarm list is kept for alarms that have not been cleared.
	www.erlang-consulting.com /thesis/mri.html (3317 words)

	Erlang - An Open Source Language for Robust Distributed Applications
		Most of the Erlang system is written in Erlang (including compilers, debuggers, standard libraries), with just the core run-time system and a number of low-level system calls (known as BIFs for BuiltIn Functions) written in C. Distributed use is almost transparent, with processes being spawned on other nodes, instead of locally.
		Erlang is currently being used in the development of a number of very large telecommunications applications, and this usage is expected to increase.
		It comprises 486 Erlang modules with 230k loc (lines of code) and 20k loc in C for the device interfaces, and was written by a team of 35 people on time and under budget.
	www.unsw.adfa.edu.au /~lpb/papers/auug99-erl.html (2395 words)

	ErlangLanguage - The Fellowship of Hobbyist Programmers (Site not responding. Last check: 2007-10-08)
		Erlang is an elegant dynamically-typed functional language designed by Ericsson for their own products.
		Erlang has builtin support for concurrency, distribution and fault-tolerance and is therefore well-suited for network and server-side programming, and for applications where very high network throughput and reliability is needed.
		The initial open-source Erlang release contains the implementation of Erlang, as well as a large part of Ericsson's middleware for building distributed high-availability systems.
	www.hprog.org /fhp/ErlangLanguage (586 words)

	8.1.6.5. Gamma
		The gamma is a flexible life distribution model that may offer a good fit to some sets of failure data.
		The gamma does arise naturally as the time-to-first fail distribution for a system with standby exponentially distributed backups.
		The Erlang distribution is used frequently in queuing theory applications.
	www.itl.nist.gov /div898/handbook/apr/section1/apr165.htm (457 words)

	Estimating the change point of Erlang interarrival time distribution INFOR - Find Articles
		Bayes estimates of the posterior probabilities and the positions of change are derived from the Erlang distribution.
		The problem of detecting changes in the interarrival time distribution of customers is a vital concern to various management personnel and system operators in the service-- planning and health care sectors.
		The problem of determining the change point in the interarrival time distribution in the context of exponential families is discussed in section 2, and the Bayesian estimator for the change point of the Erlang distribution for the Ek/GIc queue is presented in section 3.
	www.findarticles.com /p/articles/mi_qa3661/is_200105/ai_n8936231 (844 words)

	Characterizing phase type distributions
		is the distribution of the degenerate random variable
		distribution via quadratic variation (a property related to the second moment), and hence it is unlikely that their approach can be applied to prove property (ii), which relies on higher moments, in particular the
		This allows us to relate the minimal convolution to an Erlang distribution when all the rates of the exponential distributions are the same.
	www.cs.cmu.edu /People/osogami/thesis/html/node46.html (449 words)

	The Erlang model as a rival model for the PE model
		In that particular case the gamma distribution is referred to as the Erlang distribution.
		As was the case in the Poisson-Erlang model, in the Erlang model the logarithm of the variance is also a linear function of the logarithm of the parameters, that is the parameters N and
		And also similar to the Poisson-Erlang model, in the Erlang model this is not the case with respect to the logarithm of the expectation.
	oase.uci.kun.nl /~aven1935/applhtml/node9.html (269 words)

	Jungerl - a dense and chaotic Jungle of Erlang code
		CLAW is an embryonic compiler from Core Erlang to Common Lisp.
		Modules for handling abstract Erlang syntax trees, in a way that is compatible with the "parse trees" of the standard library module `erl_parse', together with utilities for reading source files in unusual ways and pretty-printing syntax trees.
		Erlang Wumpus is an implementation of the classic game of _Hunt the Wumpus_ in Erlang.
	jungerl.sourceforge.net (633 words)

	Main
		Erlang is a new (ish) concurrent programming language designed for programming soft real-time distributed fault-tolerant applications.
		Erlang is also the foremost of a new generation of functional programming languages designed for real-world applications.
		Erlang was designed to be "an easy to use functional programming language" it uses dynamic typing (a la smalltalk/scheme) and has a simple process based concurrency model.
	www.geocities.com /erlang_journal/book1.html (2719 words)

	High-Level Distribution
		In distribution platforms that provide a high level of abstract distribution, communication mechanisms are an integral part of the overall system, so that invocations on remote components are transparent, i.e.
		Distributed Oz is an extension to the Oz language developed at the German Research Center for Artificial Intelligence (Deutsches Forschungszentrum für künstliche Intelligenz, DFKI).
		Distributed Oz currently does not offer a distinction between mobile and immobile objects.
	www.fpx.de /fp/Uni/Diplom/node6.html (763 words)

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