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- Memorylessness abstract "In probability and statistics, memorylessness is a property of certain probability distributions: the exponential distributions of non-negative real numbers and the geometric distributions of non-negative integers.The property is most easily explained in terms of \"waiting times.\" Suppose that a random variable, X, is defined to be the time elapsed in a shop from 9 am on a certain day until the arrival of the first customer: thus X is the time a server waits for the first customer. The \"memoryless\" property makes a comparison between the probability distributions of the time a server has to wait from 9 am onwards for his first customer, and the time that the server still has to wait for the first customer on those occasions when no customer has arrived by any given later time: the property of memorylessness is that these distributions of \"time from now to the next customer\" are exactly the same.As another example, suppose X is the lifetime of a car engine given in terms of number of miles driven. If the engine has lasted 200,000 miles, then, based on our intuition, it is clear that the probability that the engine lasts another 100,000 miles is not the same as the engine lasting 100,000 miles from the first time it was built. However, memorylessness states that the two probabilities are the same. In essence, we 'forget' what state the car is in. In other words, the probabilities are not influenced by how much time has elapsed. The terms \"memoryless\" and \"memorylessness\" are used in a very different way to refer to Markov processes in which the underlying assumption of the Markov property implies that the properties of random variables related to the future depend only on relevant information about the current time, not on information from further in the past. The present article describes the use outside the Markov property, limited to conditional probability distributions.".
- Memorylessness wikiPageID "772441".
- Memorylessness wikiPageLength "6637".
- Memorylessness wikiPageOutDegree "30".
- Memorylessness wikiPageRevisionID "707855329".
- Memorylessness wikiPageWikiLink Bernoulli_trial.
- Memorylessness wikiPageWikiLink Category:Characterization_of_probability_distributions.
- Memorylessness wikiPageWikiLink Category:Theory_of_probability_distributions.
- Memorylessness wikiPageWikiLink Characterization_(mathematics).
- Memorylessness wikiPageWikiLink Conditional_probability.
- Memorylessness wikiPageWikiLink Exponential_distribution.
- Memorylessness wikiPageWikiLink Exponential_function.
- Memorylessness wikiPageWikiLink Functional_equation.
- Memorylessness wikiPageWikiLink Geometric_distribution.
- Memorylessness wikiPageWikiLink Independence_(probability_theory).
- Memorylessness wikiPageWikiLink Integer.
- Memorylessness wikiPageWikiLink Markov_process.
- Memorylessness wikiPageWikiLink Markov_property.
- Memorylessness wikiPageWikiLink Materials_science.
- Memorylessness wikiPageWikiLink Monotonic_function.
- Memorylessness wikiPageWikiLink Negative_binomial_distribution.
- Memorylessness wikiPageWikiLink Probability.
- Memorylessness wikiPageWikiLink Probability_distribution.
- Memorylessness wikiPageWikiLink Random_variable.
- Memorylessness wikiPageWikiLink Rational_number.
- Memorylessness wikiPageWikiLink Statistics.
- Memorylessness wikiPageWikiLink Survival_function.
- Memorylessness wikiPageWikiLink William_Feller.
- Memorylessness wikiPageWikiLinkText ""memorylessness"".
- Memorylessness wikiPageWikiLinkText "Memorylessness".
- Memorylessness wikiPageWikiLinkText "memory-less".
- Memorylessness wikiPageWikiLinkText "memoryless".
- Memorylessness wikiPageWikiLinkText "memorylessness".
- Memorylessness wikiPageUsesTemplate Template:For.
- Memorylessness wikiPageUsesTemplate Template:Reflist.
- Memorylessness subject Category:Characterization_of_probability_distributions.
- Memorylessness subject Category:Theory_of_probability_distributions.
- Memorylessness hypernym Property.
- Memorylessness type Building.
- Memorylessness comment "In probability and statistics, memorylessness is a property of certain probability distributions: the exponential distributions of non-negative real numbers and the geometric distributions of non-negative integers.The property is most easily explained in terms of \"waiting times.\" Suppose that a random variable, X, is defined to be the time elapsed in a shop from 9 am on a certain day until the arrival of the first customer: thus X is the time a server waits for the first customer.".
- Memorylessness label "Memorylessness".
- Memorylessness sameAs Q176750.
- Memorylessness sameAs Geheueloosheid.
- Memorylessness sameAs Gedächtnislosigkeit.
- Memorylessness sameAs خاصیت_بیحافظگی.
- Memorylessness sameAs Perte_de_mémoire_(probabilités).
- Memorylessness sameAs חוסר_זיכרון_(הסתברות).
- Memorylessness sameAs Mancanza_di_memoria.
- Memorylessness sameAs Geheugenloosheid.
- Memorylessness sameAs m.03b87w.
- Memorylessness sameAs Memorylessness.
- Memorylessness sameAs Q176750.
- Memorylessness wasDerivedFrom Memorylessness?oldid=707855329.
- Memorylessness isPrimaryTopicOf Memorylessness.