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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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书目名称Records via Probability Theory
编辑Mohammad Ahsanullah,Valery B. Nevzorov
视频video
概述The book is written giving basic theory of record on a lower technical level.The book presents basic theory of records statistics and its applications.The book will be a unique resource that brings to
丛书名称Atlantis Studies in Probability and Statistics
图书封面Titlebook: Records via Probability Theory;  Mohammad Ahsanullah,Valery B. Nevzorov Book 2015 Atlantis Press and the author(s) 2015 Asymptotic Distribu
描述A lot of statisticians, actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists. Business and sport analysts deal with records which play important roles in various fields of statistics and its application. This book enables a reader to check his/her level of understanding of the theory of record values. We give basic formulae which are more important in the theory and present a lot of examples which illustrate the theoretical statements. For a beginner in record statistics, as well as for graduate students the study of our book needs the basic knowledge of the subject. A more advanced reader can use our book to polish his/her knowledge. An upgraded list of bibliography which will help a reader to enrich his/her theoretical knowledge and widen the experience of dealing with ordered observations, is also given in the book.
出版日期Book 2015
关键词Asymptotic Distribution; Estimation of unknown parameters; Extreme Values; Prediction of future record
版次1
doihttps://doi.org/10.2991/978-94-6239-136-9
isbn_ebook978-94-6239-136-9Series ISSN 1879-6893 Series E-ISSN 1879-6907
issn_series 1879-6893
copyrightAtlantis Press and the author(s) 2015
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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.
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