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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,341 papers · 148 categories

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8.3%16.7%25.0%33.3% · Jan 199319922001200920182026
48 results for semi-Markov switching

The study extends asset pricing models to include time-dependent volatility and age-dependent regime switching.

problem Asset pricing in a market with time-varying interest rates and volatilities.
method Extension of Markov-modulated models to semi-Markov processes with age-dependent and time-dependent volatility.
result Option pricing in the extended model is equivalent to solving an integral equation.

Developed a new statistic to test binary regime switching models.

problem Testing the model assumption of binary regime switching extension of GBM.
method Proposed a new discriminating statistics and identified an admissible class of regime switching candidate models.
result Sampling distribution of the test statistics differs significantly between different regime switching models.

In this paper we propose a semi-Markov modulated model of interest rates. We assume that the switching process is a semi-Markov process with finite state space E and the modulated process is a diffusive process. We derive recursive equations for the higher order moments of the discount factor and we describe a Monte Ca…

2012-10-11abs ↗pdf ↗

Anomaly detection for aviation safety using SMS-VAR models.

problem Detecting anomalous flight segments in aviation systems.
method Semi-Markov switching vector autoregressive (SMS-VAR) model for anomaly detection.
result The framework can detect various types of anomalies and key parameters involved.

The paper develops methods to price derivatives in a time-varying, age-dependent market.

problem Pricing derivatives in a market with time-inhomogeneous volatility and age-dependent processes.
method Geometric Brownian motion model with time-varying volatility and age-dependent semi-Markov processes. Solves a non-local PDE and integral equation.
result Explicit expressions for derivative prices and hedging strategies are derived.

Study long-term behavior of semi-Markov modulated processes using integral functions.

problem Analyzing long-term behavior of semi-Markov modulated processes involving integral functions.
method Using ergodic semi-Markovian environment and affine stochastic recurrence equation.
result Mixture type laws emerge in long-term limit for processes.

In an observed generalized semi-Markov regime, estimation of transition rate of regime switching leads towards calculation of locally risk minimizing option price. Despite the uniform convergence of estimated step function of transition rate, to meet the existence of classical solution of the modified price equation, t…

2015-06-11abs ↗pdf ↗

In this paper we describe three stochastic models based on a semi-Markov chains approach and its generalizations to study the high frequency price dynamics of traded stocks. The three models are: a simple semi-Markov chain model, an indexed semi-Markov chain model and a weighted indexed semi-Markov chain model. We show…

2013-12-13abs ↗pdf ↗

We study the high frequency price dynamics of traded stocks by a model of returns using a semi-Markov approach. More precisely we assume that the intraday return are described by a discrete time homogeneous semi-Markov process and the overnight returns are modeled by a Markov chain. Based on this assumptions we derived…

2011-03-31abs ↗pdf ↗

New method infers hidden states in continuous-time phenomena better than traditional models.

problem Traditional HSMM's are limited to discrete time grids and cannot handle irregularly spaced data.
method Formulated integro-differential forward and backward equations for CTSMC's, introduced scalable Viterbi-type algorithm.
result Efficiently solved equations for posterior marginals and path estimates.

In this paper we propose a new stochastic model based on a generalization of semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that the financial returns are described by a weighted indexed semi-Markov chain model. We show, through Monte Carlo simulations, that the model is able …

2012-05-11abs ↗pdf ↗

In this paper we propose a bivariate generalization of a weighted indexed semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that financial returns are described by a weighted indexed semi-Markov chain model. We show, through Monte Carlo simulations, that the model is able to repr…

2013-05-02abs ↗pdf ↗

We consider the problem of constructing an appropriate multivariate model for the study of the counterparty credit risk in credit rating migration problem. For this financial problem different multivariate Markov chain models were proposed. However the markovian assumption may be inappropriate for the study of the dyna…

2011-12-01abs ↗pdf ↗

Study uses semi-Markov models to analyze respiratory patterns of preterm infants before extubation.

problem Analyzing respiratory patterns of preterm infants before and after extubation.
method Developed semi-Markov models to compare respiratory patterns of infants who succeeded extubation and those who required reintubation.
result Semi-Markov models reveal unique similarities and differences between infants who succeeded extubation and those who required reintubation.

We study the high frequency price dynamics of traded stocks by a model of returns using a semi-Markov approach. More precisely we assume that the intraday returns are described by a discrete time homogeneous semi-Markov which depends also on a memory index. The index is introduced to take into account periods of high a…

2011-09-20abs ↗pdf ↗

Generalized model for firm valuation considering semi-Markovian dividend growth.

problem Valuation of firms based on semi-Markovian dividend growth rates.
method Discrete time semi-Markov chain model with measurable space, new equations for price-dividend ratios, approximation methods.
result Established sufficient conditions for finiteness of fundamental prices and risks, new equations for first and second order price-dividend ratios.

This paper reviews recent advances in Bayesian nonparametric techniques for constructing and performing inference in infinite hidden Markov models. We focus on variants of Bayesian nonparametric hidden Markov models that enhance a posteriori state-persistence in particular. This paper also introduces a new Bayesian non…

2014-06-30abs ↗pdf ↗

One approach to the analysis of stochastic fluctuations in market prices is to model characteristics of investor behaviour and the complex interactions between market participants, with the aim of extracting consequences in the aggregate. This agent-based viewpoint in finance goes back at least to the work of Garman (1…

2007-03-28abs ↗pdf ↗

New model for time series classification from single example.

problem Classifying time series patterns from limited data.
method Developed a Hidden semi-Markov Model with variable state duration.
result Different representations of state duration have distinct strengths and weaknesses.

Model predicts extubation success in preterm infants.

problem Predicting successful extubation in preterm infants to minimize complications.
method Applied Markov and semi-Markov chain models to analyze respiratory patterns.
result Up to 84% of infants who failed extubation could have been predicted prior to extubation.

Model stock price dynamics using semi-Markov processes.

problem Model stock price dynamics through a semi-Markov process.
method Use semi-Markov process with Poisson random measure, establish existence and uniqueness of solution, derive HJB equation.
result Obtain expressions for optimal controls and value function using HJB equation.

Paper proposes a new method to model event sequences in information systems.

problem Analyzing event logs to understand system procedures and predict changes.
method Combines hidden semi-Markov model and classification trees learning.
result The proposed approach can identify frequent sequence patterns relevant to observable events.

Proposes a multi-state model for evaluating life insurance conversion options.

problem Evaluating the value of conversion options in life insurance contracts.
method Age-indexed semi-Markov chains to model duration, time non-homogeneity, and ageing effects.
result Validates the model's ability to accurately evaluate conversion option values.

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the ubiquitous Hidden Markov Model for learning from sequential and time-series data. However, in many settings the HDP-HMM's strict Markovian constraints are undesirable, particul…

2012-03-07abs ↗pdf ↗

Generative model predicts daily activity sequences with duration-aware dynamics.

problem Accurately forecasting granular daily activity sequences for energy demand.
method Hierarchical semi-Markov models with duration-aware dynamics.
result Explicitly modeling activity durations improves predictive performance.

Deep architecture such as hierarchical semi-Markov models is an important class of models for nested sequential data. Current exact inference schemes either cost cubic time in sequence length, or exponential time in model depth. These costs are prohibitive for large-scale problems with arbitrary length and depth. In th…

2014-08-06abs ↗pdf ↗

We study the effect of investor inertia on stock price fluctuations with a market microstructure model comprising many small investors who are inactive most of the time. It turns out that semi-Markov processes are tailor made for modelling inert investors. With a suitable scaling, we show that when the price is driven …

2007-03-28abs ↗pdf ↗

Develops a new model for analyzing clinical data with irregular sampling.

problem Analyzing irregularly sampled, temporally correlated clinical data.
method Hidden Absorbing Semi-Markov Model (HASMM) with a novel EM algorithm and forward-filtering algorithm.
result Demonstrates improved diagnostic and prognostic utility in critical care settings.

Hidden semi-Markov models (HSMMs) are latent variable models which allow latent state persistence and can be viewed as a generalization of the popular hidden Markov models (HMMs). In this paper, we introduce a novel spectral algorithm to perform inference in HSMMs. Unlike expectation maximization (EM), our approach cor…

2014-07-12abs ↗pdf ↗

A framework combining HSMM and survival analysis for lifecycle-oriented mobility analysis.

problem Understanding individual metro usage dynamics over multi-year horizons.
method A state-based lifecycle modeling framework integrating HSMM and discrete-time survival analysis.
result Identification of interpretable mobility states, transition dynamics, and state-dependent exit and re-entry processes.

New CTBNs with clocks allow for non-exponential survival times.

problem Modeling phenomena with non-exponential survival times in continuous time.
method Introduced node-wise clocks to construct graph-coupled semi-Markov chains, enabling non-exponential survival times without auxiliary states.
result Parameter and structure inference algorithms provided, demonstrating advantages over current CTBN extensions.

Study optimal switching under ambiguity in finance.

problem Optimal switching problems under ambiguity in finance.
method Use multidimensional reflected backward stochastic differential equations (RBSDEs) to characterize the optimal switching.
result Value function of optimal switching under ambiguity coincides with solutions to multidimensional RBSDEs with negative switching costs.