Exit Problems for Lévy and Markov Processes with One-Sided Jumps and Related Topics (Record no. 3005995)

MARC details
000 -LEADER
fixed length control field 04625naaaa2201009uu 4500
001 - CONTROL NUMBER
control field https://directory.doabooks.org/handle/20.500.12854/76508
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220714184309.0
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number books978-3-03928-459-7
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783039284580
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783039284597
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.3390/books978-3-03928-459-7
Terms of availability doi
041 0# - LANGUAGE CODE
Language code of text/sound track or separate title English
042 ## - AUTHENTICATION CODE
Authentication code dc
072 #7 - SUBJECT CATEGORY CODE
Subject category code GP
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code P
Source bicssc
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Avram, Florin
Relator code edt
9 (RLIN) 1605361
245 10 - TITLE STATEMENT
Title Exit Problems for Lévy and Markov Processes with One-Sided Jumps and Related Topics
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Basel, Switzerland
Name of publisher, distributor, etc MDPI - Multidisciplinary Digital Publishing Institute
Date of publication, distribution, etc 2021
300 ## - PHYSICAL DESCRIPTION
Extent 1 electronic resource (218 p.)
506 0# - RESTRICTIONS ON ACCESS NOTE
Terms governing access Open Access
Source of term star
Standardized terminology for access restriction Unrestricted online access
520 ## - SUMMARY, ETC.
Summary, etc Exit problems for one-dimensional Lévy processes are easier when jumps only occur in one direction. In the last few years, this intuition became more precise: we know now that a wide variety of identities for exit problems of spectrally-negative Lévy processes may be ergonomically expressed in terms of two q-harmonic functions (or scale functions or positive martingales) W and Z. The proofs typically require not much more than the strong Markov property, which hold, in principle, for the wider class of spectrally-negative strong Markov processes. This has been established already in particular cases, such as random walks, Markov additive processes, Lévy processes with omega-state-dependent killing, and certain Lévy processes with state dependent drift, and seems to be true for general strong Markov processes, subject to technical conditions. However, computing the functions W and Z is still an open problem outside the Lévy and diffusion classes, even for the simplest risk models with state-dependent parameters (say, Ornstein-Uhlenbeck or Feller branching diffusion with phase-type jumps).
540 ## - TERMS GOVERNING USE AND REPRODUCTION NOTE
Terms governing use and reproduction Creative Commons
-- https://creativecommons.org/licenses/by/4.0/
-- cc
-- https://creativecommons.org/licenses/by/4.0/
546 ## - LANGUAGE NOTE
Language note English
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Research & information: general
Source of heading or term bicssc
9 (RLIN) 928234
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics & science
Source of heading or term bicssc
9 (RLIN) 1014621
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Uncontrolled term Lévy processes
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Uncontrolled term non-random overshoots
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Uncontrolled term skip-free random walks
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Uncontrolled term fluctuation theory
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Uncontrolled term scale functions
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Uncontrolled term capital surplus process
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Uncontrolled term dividend payment
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Uncontrolled term optimal control
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Uncontrolled term capital injection constraint
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Uncontrolled term spectrally negative Lévy processes
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Uncontrolled term reflected Lévy processes
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Uncontrolled term first passage
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Uncontrolled term drawdown process
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Uncontrolled term spectrally negative process
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Uncontrolled term dividends
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Uncontrolled term de Finetti valuation objective
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Uncontrolled term variational problem
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Uncontrolled term stochastic control
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Uncontrolled term optimal dividends
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Uncontrolled term Parisian ruin
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Uncontrolled term barrier strategies
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Uncontrolled term logarithmic asymptotics
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Uncontrolled term quadratic programming problem
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Uncontrolled term ruin probability
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Uncontrolled term two-dimensional Brownian motion
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Uncontrolled term spectrally negative Lévy process
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Uncontrolled term general tax structure
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Uncontrolled term first crossing time
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Uncontrolled term joint Laplace transform
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Uncontrolled term Laplace transform
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Uncontrolled term diffusion-type process
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Uncontrolled term running maximum and minimum processes
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Uncontrolled term boundary-value problem
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Uncontrolled term normal reflection
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Uncontrolled term Sparre Andersen model
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Uncontrolled term heavy tails
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Uncontrolled term completely monotone distributions
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Uncontrolled term hyperexponential distribution
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Uncontrolled term linear diffusions
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Uncontrolled term drawdown
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Uncontrolled term Segerdahl process
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Uncontrolled term affine coefficients
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Uncontrolled term spectrally negative Markov process
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Uncontrolled term hypergeometric functions
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Uncontrolled term capital injections
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Uncontrolled term bankruptcy
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Uncontrolled term reflection and absorption
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Uncontrolled term Pollaczek-Khinchine formula
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Uncontrolled term scale function
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Uncontrolled term Padé approximations
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Uncontrolled term Laguerre series
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Uncontrolled term Tricomi-Weeks Laplace inversion
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Avram, Florin
Relator code oth
9 (RLIN) 1605361
856 40 - ELECTRONIC LOCATION AND ACCESS
Host name www.oapen.org
Uniform Resource Identifier <a href="https://mdpi.com/books/pdfview/book/3954">https://mdpi.com/books/pdfview/book/3954</a>
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Public note DOAB: download the publication
856 40 - ELECTRONIC LOCATION AND ACCESS
Host name www.oapen.org
Uniform Resource Identifier <a href="https://directory.doabooks.org/handle/20.500.12854/76508">https://directory.doabooks.org/handle/20.500.12854/76508</a>
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Public note DOAB: description of the publication
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