memoryless random variable

  • 1Information theory — Not to be confused with Information science. Information theory is a branch of applied mathematics and electrical engineering involving the quantification of information. Information theory was developed by Claude E. Shannon to find fundamental… …

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  • 2Exponential distribution — Not to be confused with the exponential families of probability distributions. Exponential Probability density function Cumulative distribution function para …

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  • 3Memorylessness — For the use of the term in materials science, see hysteresis. In probability and statistics, memorylessness is a property of certain probability distributions: the exponential distributions of non negative real numbers and the geometric… …

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  • 4Geometric distribution — Probability distribution two name =Geometric type =mass pdf cdf | parameters =0< p leq 1 success probability (real) support =k in {1,2,3,dots}! pdf =(1 p)^{k 1},p! cdf =1 (1 p)^k! mean =frac{1}{p}! median =leftlceil frac{ log(2)}{log(1 p)} ight&#8230; …

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  • 5Long-tail traffic — This article covers a range of tools from different disciplines that may be used in the important science of determining the probability of rare events. The terms long range dependent , self similar and heavy tailed are very close in meaning.&#8230; …

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  • 6Rate–distortion theory — is a major branch of information theory which provides the theoretical foundations for lossy data compression; it addresses the problem of determining the minimal amount of entropy (or information) R that should be communicated over a channel, so …

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  • 7Markov chain — A simple two state Markov chain. A Markov chain, named for Andrey Markov, is a mathematical system that undergoes transitions from one state to another, between a finite or countable number of possible states. It is a random process characterized …

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  • 8Martingale (betting system) — For the generalised mathematical concept, see martingale (probability theory). Originally, martingale referred to a class of betting strategies popular in 18th century France. The simplest of these strategies was designed for a game in which the&#8230; …

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  • 9Poisson process — A Poisson process, named after the French mathematician Siméon Denis Poisson (1781 ndash; 1840), is the stochastic process in which events occur continuously and independently of one another (the word event used here is not an instance of the&#8230; …

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  • 10Markov property — In probability theory and statistics, the term Markov property refers to the memoryless property of a stochastic process. It was named after the Russian mathematician Andrey Markov.[1] A stochastic process has the Markov property if the&#8230; …

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