On distributions of exponential functionals of the processes with independent increments
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Publication:2218142
DOI10.15559/20-VMSTA159zbMath1457.60065arXiv1804.07069OpenAlexW3122674739WikidataQ115513724 ScholiaQ115513724MaRDI QIDQ2218142
Publication date: 14 January 2021
Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.07069
exponential functionalprocess with independent incrementsKolmogorov-type equationsmoothness of the density
Processes with independent increments; Lévy processes (60G51) Financial applications of other theories (91G80)
Cites Work
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- In the insurance business risky investments are dangerous: the case of negative risk sums
- Distributional properties of exponential functionals of Lévy processes
- On exponential functionals of Lévy processes
- Continuous-time perpetuities and time reversal of diffusions
- Mathematical methods for financial markets.
- Perpetual integral functionals as hitting and occupation times
- Exponential functionals of Lévy processes
- Ruin models with investment income
- Bernstein-gamma functions and exponential functionals of Lévy processes
- On moments of integral exponential functionals of additive processes
- Present value distributions with applications to ruin theory and stochastic equations
- Revisiting integral functionals of geometric Brownian motion
- Fluctuations of Lévy processes with applications. Introductory lectures
- On the density of exponential functionals of Lévy processes
- Exponential functionals of L\'evy processes with jumps
- Change of Time and Change of Measure
- A Wiener-Hopf type factorization for the exponential functional of Lévy processes
- The Distribution of a Perpetuity, with Applications to Risk Theory and Pension Funding
- On Exponential Functionals of Processes with Independent Increments
- On the Ruin Problem with Investment When the Risky Asset Is a Semimartingale
- Conditions for the existence and smoothness of the distribution density of the Ornstein–Uhlenbeck process with Lévy noise