000 02406nam a2200361 i 4500
001 CR9781009053730
003 UkCbUP
005 20240301142636.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 210222s2022||||enk o ||1 0|eng|d
020 _a9781009053730 (ebook)
020 _z9781316511732 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 4 _aQA273.6
_b.N35 2022
082 0 4 _a519.24
_223
100 1 _aNair, Jayakrishnan,
_eauthor.
245 1 4 _aThe fundamentals of heavy tails :
_bproperties, emergence, and estimation /
_cJayakrishnan Nair, Adam Wierman, Bert Zwart.
264 1 _aCambridge :
_bCambridge University Press,
_c2022.
300 _a1 online resource (xiv, 250 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge series in statistical and probabilistic mathematics ;
_v53
500 _aTitle from publisher's bibliographic system (viewed on 07 Apr 2022).
520 _aHeavy tails -extreme events or values more common than expected -emerge everywhere: the economy, natural events, and social and information networks are just a few examples. Yet after decades of progress, they are still treated as mysterious, surprising, and even controversial, primarily because the necessary mathematical models and statistical methods are not widely known. This book, for the first time, provides a rigorous introduction to heavy-tailed distributions accessible to anyone who knows elementary probability. It tackles and tames the zoo of terminology for models and properties, demystifying topics such as the generalized central limit theorem and regular variation. It tracks the natural emergence of heavy-tailed distributions from a wide variety of general processes, building intuition. And it reveals the controversy surrounding heavy tails to be the result of flawed statistics, then equips readers to identify and estimate with confidence. Over 100 exercises complete this engaging package.
650 0 _aDistribution (Probability theory)
_xMathematical models.
700 1 _aWierman, Adam,
_eauthor.
700 1 _aZwart, Bert,
_eauthor.
776 0 8 _iPrint version:
_z9781316511732
830 0 _aCambridge series on statistical and probabilistic mathematics ;
_v53.
856 4 0 _uhttps://doi.org/10.1017/9781009053730
999 _c9269
_d9269