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A fixed-design residual bootstrap method is proposed for the two-step estimator of Francq and Zako\"ian (2015) associated with the conditional Value-at-Risk. The bootstrap's consistency is proven for a general class of volatility models and…

Econometrics · Economics 2023-08-16 Eric Beutner , Alexander Heinemann , Stephan Smeekes

Recommender systems are widely used for suggesting books, education materials, and products to users by exploring their behaviors. In reality, users' preferences often change over time, leading to studies on time-dependent recommender…

Information Retrieval · Computer Science 2024-12-17 Haidong Zhang , Wancheng Ni , Xin Li , Yiping Yang

The CEV model subsumes some of the previous option pricing models. An important parameter in the model is the parameter b, the elasticity of volatility. For b=0, b=-1/2, and b=-1 the CEV model reduces respectively to the BSM model, the…

Mathematical Finance · Quantitative Finance 2018-04-23 Evangelos Melas

Observations which are realizations from some continuous process are frequent in sciences, engineering, economics, and other fields. We consider linear models, with possible random effects, where the responses are random functions in a…

Statistics Theory · Mathematics 2016-11-30 Giacomo Aletti , Caterina May , Chiara Tommasi

Stochastic processes find applications in modelling systems in a variety of disciplines. A large number of stochastic models considered are Markovian in nature. It is often observed that higher order Markov processes can model the data…

Probability · Mathematics 2021-04-13 Suryadeepto Nag

We study a dephasing channel with memory, modelled by a Markov chain. We show that even weak memory effects have a detrimental impact on the performance of quantum error correcting schemes designed for uncorrelated errors. We also discuss…

Quantum Physics · Physics 2008-08-26 Antonio D'Arrigo , Elena De Leo , Giuliano Benenti , Giuseppe Falci

We solve the superhedging problem for European options in an illiquid extension of the Black-Scholes model, in which transactions have transient price impact and the costs and the strategies for hedging are affected by physical or cash…

Pricing of Securities · Quantitative Finance 2023-06-13 Dirk Becherer , Todor Bilarev

The key objective of this paper is to develop an empirical model for pricing SPX options that can be simulated over future paths of the SPX. To accomplish this, we formulate and rigorously evaluate several statistical models, including…

Pricing of Securities · Quantitative Finance 2025-06-24 Alessio Brini , David A. Hsieh , Patrick Kuiper , Sean Moushegian , David Ye

We provide a general and tractable framework under which all multiple yield curve modeling approaches based on affine processes, be it short rate, Libor market, or HJM modeling, can be consolidated. We model a numeraire process and…

Mathematical Finance · Quantitative Finance 2017-02-08 Christa Cuchiero , Claudio Fontana , Alessandro Gnoatto

Markov Chains with variable length are useful stochastic models for data compression that avoid the curse of dimensionality faced by that full Markov Chains. In this paper we introduce a Variable Length Markov Chain whose transition…

Methodology · Statistics 2020-01-01 Adriano Zanin Zambom , Seonjin Kim , Nancy Lopes Garcia

Neuron models of associative memory provide a new and prospective technology for reliable date storage and patterns recognition. However, even when the patterns are uncorrelated, the efficiency of most known models of associative memory is…

Disordered Systems and Neural Networks · Physics 2007-05-23 B. V. Kryzhanovsky , L. B. Litinskii , A. Fonarev

We propose a constructive approach to building temporal point processes that incorporate dependence on their history. The dependence is modeled through the conditional density of the duration, i.e., the interval between successive event…

Methodology · Statistics 2025-10-31 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

Earlier we proposed the stochastic point process model, which reproduces a variety of self-affine time series exhibiting power spectral density S(f) scaling as power of the frequency f and derived a stochastic differential equation with the…

Physics and Society · Physics 2008-12-02 V. Gontis , B. Kaulakys

We introduce a class of models for multidimensional control problems which we call skip-free Markov decision processes on trees. We describe and analyse an algorithm applicable to Markov decision processes of this type that are skip-free in…

Optimization and Control · Mathematics 2013-11-11 E. J. Collins

Asymptotic properties of Markov Processes, such as steady state probabilities or hazard rate for absorbing states can be efficiently calculated by means of linear algebra even for large-scale problems. This paper discusses the methods for…

Performance · Computer Science 2017-05-17 Vitali Volovoi

We propose a novel structural estimation framework in which we train a surrogate of an economic model with deep neural networks. Our methodology alleviates the curse of dimensionality and speeds up the evaluation and parameter estimation by…

Econometrics · Economics 2021-02-19 Hui Chen , Antoine Didisheim , Simon Scheidegger

We present an approximate analytical expression for the escape rate of time-dependent driven stochastic processes with an absorbing boundary such as the driven leaky integrate-and-fire model for neural spiking. The novel approximation is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Michael Schindler , Peter Talkner , Peter Hänggi

In this paper, we establish a market model for the term structure of forward inflation rates based on the risk-neutral dynamics of nominal and real zero-coupon bonds. Under the market model, we can price inflation caplets as well as…

Pricing of Securities · Quantitative Finance 2013-02-05 Lixin Wu

We introduce a novel stochastic volatility model where the squared volatility of the asset return follows a Jacobi process. It contains the Heston model as a limit case. We show that the joint density of any finite sequence of log returns…

Mathematical Finance · Quantitative Finance 2018-10-31 Damien Ackerer , Damir Filipović , Sergio Pulido

In this paper we derive the consistency of the penalized likelihood method for the number state of the hidden Markov chain in autoregressive models with Markov regimen. Using a SAEM type algorithm to estimate the models parameters. We test…

Statistics Theory · Mathematics 2016-08-16 Ricardo Ríos , Luis Rodríguez