000 01894nam a2200229 a 4500
999 _c28760
_d28760
001 63606
020 _a 978-3319249254
082 _a.
100 _aGrabchak, Michael
_958718
245 1 0 _aTempered stable distributions :
_bstochastic models for multiscale processes
_cMichael Grabchak
260 _aHeidelberg :
_bSpringer,
_cc2016.
300 _axii, 118 p. ;
_c24 cm.
490 1 _aSpringer briefs in mathematics
505 0 _aIntroduction.- Preliminaries.- Tempered Stable Distributions.- Limit Theorems for Tempered Stable Distributions.- Multiscale Properties of Tempered Stable Levy Processes.- Parametric Classes.- Applications​.- Epilogue.- References.
520 _aThis brief is concerned with tempered stable distributions and their associated Levy processes. It is a good text for researchers interested in learning about tempered stable distributions. A tempered stable distribution is one which takes a stable distribution and modifies its tails to make them lighter. The motivation for this class comes from the fact that infinite variance stable distributions appear to provide a good fit to data in a variety of situations, but the extremely heavy tails of these models are not realistic for most real world applications. The idea of using distributions that modify the tails of stable models to make them lighter seems to have originated in the influential paper of Mantegna and Stanley (1994). Since then, these distributions have been extended and generalized in a variety of ways. They have been applied to a wide variety of areas including mathematical finance, biostatistics,computer science, and physics.
650 7 _aFinance
_925
650 7 _aMathematics
_9984
650 7 _aEconomics, Mathematical
_917931
650 7 _aProbabilities
_95449
856 _uhttps://uowd.box.com/s/tsxocw67f638sosi2wjho6dr0tt84g3j
_zLocation Map
942 _cREGULAR
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