See exponential distribution in All languages combined, or Wiktionary
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For example, the gamma distribution is obtained from the distribution of the sum of random variables where each variable follows an exponential distribution.", "type": "quote" }, { "ref": "1999, G. Latouche, V. Ramaswami, Introduction to Matrix Analytic Methods in Stochastic Modeling, Society for Industrial and Applied Mathematics, page 33:", "text": "In addition, PH distributions provide a simple framework to demonstrate how one can extend many simple results on exponential distributions to more complex models without losing computational tractability.", "type": "quote" }, { "ref": "2012, Kenneth S. Stephens, Reliability Data Analysis with Excel and Minitab, ASQ Quality Press, page 145:", "text": "The exponential distribution was introduced briefly in Chapter 3 in connection with the Poisson discrete probability distribution function. There it was shown that if the number of failures in a given time period t was Poisson distributed, then the time to failure is distributed as an exponential distribution.", "type": "quote" } ], "glosses": [ "Any of a class of continuous probability distributions used to model the time between events that occur independently at a constant average rate." ], "id": "en-exponential_distribution-en-noun-bFkbBCMt", "links": [ [ "statistics", "statistics" ], [ "class", "class" ], [ "continuous", "continuous" ], [ "probability distribution", "probability distribution" ], [ "model", "model" ], [ "time", "time" ], [ "event", "event" ], [ "constant", "constant" ], [ "average", "average" ], [ "rate", "rate" ] ], "raw_glosses": [ "(statistics) Any of a class of continuous probability distributions used to model the time between events that occur independently at a constant average rate." ], "related": [ { "word": "Poisson distribution" }, { "word": "Poisson process" } ], "synonyms": [ { "sense": "probability distribution", "word": "negative exponential distribution" } ], "topics": [ "mathematics", "sciences", "statistics" ], "translations": [ { "code": "cs", "lang": "Czech", "sense": "class of continuous probability distributions", "tags": [ "neuter" ], "word": "exponenciální rozdělení" }, { "code": "fi", "lang": "Finnish", "sense": "class of continuous probability distributions", "word": "eksponenttijakauma" }, { "code": "hu", "lang": "Hungarian", "sense": "class of continuous probability distributions", "word": "exponenciális eloszlás" }, { "code": "is", "lang": "Icelandic", "sense": "class of continuous probability distributions", "tags": [ "feminine" ], "word": "veldisvísisdreifing" }, { "code": "is", "lang": "Icelandic", "sense": "class of continuous probability distributions", "tags": [ "feminine" ], "word": "vísisdreifing" }, { "code": "it", "lang": "Italian", "sense": "class of continuous probability distributions", "tags": [ "feminine" ], "word": "distribuzione esponenziale" }, { "code": "ja", "lang": "Japanese", "sense": "class of continuous probability distributions", "word": "指数分布" }, { "code": "sv", "lang": "Swedish", "sense": "class of continuous probability distributions", "tags": [ "common-gender" ], "word": "exponentialfördelning" }, { "code": "tl", "lang": "Tagalog", "sense": "class of continuous probability distributions", "word": "pauliting pamamahagi" } ], "wikipedia": [ "exponential distribution" ] } ], "word": "exponential distribution" }
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