Titlebook: Records via Probability Theory; Mohammad Ahsanullah,Valery B. Nevzorov Book 2015 Atlantis Press and the author(s) 2015 Asymptotic Distribu

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書目名稱Records via Probability Theory影響因子(影響力)




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Introduction,rder as ..?..?≤???≤? .. ≤?.. where ..?=?min{..,.., …, ..} and ..?=?max{..,.., …, ..}. In some competitions (take, for example, any running distance) ..,.. and .. are correspondingly the results of the gold, silver and bronze prizewinners. For other type of competitions (say, for high jumping or long

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Nonclassical Record Schemes,s investigated, beginning from Chandler’s (1952) work, in all directions in many papers and monographs. Above we considered different results for such classical record scheme. But the reality needs to study more complicated “nonclassical” record models, which can be useful for business and sport ana

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Record Times,Very close to order statistics are the so-called record times and record values. Beginning from the Chandler’s (1952) pioneer paper records became very popular in the probability theory and statistics.

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Record Values,In the previous chapter together with record times we defined record values. Indeed, there are different types of these random variables as well as different models of record times.

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Record Values of Some Well Known Distributions,A continuous random variable X is said to be exponentially distributed with parameters . and ., ., if its pdf is of the following form.