A series expansion formula of the scale matrix with applications in CUSUM analysis
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Publication:6123282
DOI10.1016/j.spa.2024.104300arXiv2109.03361WikidataQ129807952 ScholiaQ129807952MaRDI QIDQ6123282
Kazutoshi Yamazaki, Jevgenijs Ivanovs
Publication date: 4 March 2024
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.03361
Lévy processesCUSUMhidden Markov modelsphase-type distributionsMarkov additive processesscale matrices
Processes with independent increments; Lévy processes (60G51) Markov processes: estimation; hidden Markov models (62M05) Stopping times; optimal stopping problems; gambling theory (60G40)
Cites Work
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- Computing the exponential of large block-triangular block-Toeplitz matrices encountered in fluid queues
- Occupation densities in solving exit problems for Markov additive processes and their reflections
- Structural properties of Gerber-Shiu functions in dependent Sparre Andersen models
- On the ruin time distribution for a Sparre Andersen process with exponential claim sizes
- Sequential analysis. Tests and confidence intervals
- Optimal stopping times for detecting changes in distributions
- SPRT and CUSUM in hidden Markov models
- Asymptotic operating characteristics of an optimal change point detection in hidden Markov models
- Sequential testing problems for Poisson processes.
- RAP-modulated fluid processes: first passages and the stationary distribution
- Detection and identification of changes of hidden Markov chains: asymptotic theory
- An optimal stopping problem for spectrally negative Markov additive processes
- Multivariate matrix-exponential affine mixtures and their applications in risk theory
- Fluctuations of Lévy processes with applications. Introductory lectures
- Potential measures for spectrally negative Markov additive processes with applications in ruin theory
- Russian and American put options under exponential phase-type Lévy models.
- On orderings and bounds in a generalized Sparre Andersen risk model
- Matrix-Exponential Distributions in Applied Probability
- The Theory of Scale Functions for Spectrally Negative Lévy Processes
- First Passage Times for Markov Additive Processes with Positive Jumps of Phase Type
- Numerical Comparison of CUSUM and Shiryaev–Roberts Procedures for Detecting Changes in Distributions
- Multivariate CUSUM Quality-Control Procedures
- Sequential testing for exponential and pareto distributions
- Probability with Martingales
- Asymptotic Bayesian Theory of Quickest Change Detection for Hidden Markov Models
- Applied Probability and Queues
- Sequential Detection and Identification of a Change in the Distribution of a Markov-Modulated Random Sequence
- On series expansions for scale functions and other ruin-related quantities
- Exact boundaries in sequential testing for phase-type distributions
- Procedures for Reacting to a Change in Distribution
- CONTINUOUS INSPECTION SCHEMES
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