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The construction of an efficient portfolio with a good level of return and minimal risk depends on selecting the optimal combination of stocks. This paper introduces a novel decision-making framework for stock selection based on fractional…

统计理论 · 数学 2025-07-04 Poulami Paul , Chanchal Kundu

In this study, we generalize a problem of sampling a scalar Gauss Markov Process, namely, the Ornstein-Uhlenbeck (OU) process, where the samples are sent to a remote estimator and the estimator makes a causal estimate of the observed…

信息论 · 计算机科学 2022-02-14 Tasmeen Zaman Ornee , Yin Sun

We study the continuous time portfolio optimization model on the market where the mean returns of individual securities or asset categories are linearly dependent on underlying economic factors. We introduce the functional $Q_\gamma$…

投资组合管理 · 定量金融 2015-01-29 O. S. Rozanova , G. S. Kambarbaeva

We suggest an adaptive sampling rule for obtaining information from noisy signals using wavelet methods. The technique involves increasing the sampling rate when relatively high-frequency terms are incorporated into the wavelet estimator,…

统计理论 · 数学 2007-06-13 Peter Hall , Spiridon Penev

Based on empirical market data, a stochastic volatility model is proposed with volatility driven by fractional noise. The model is used to obtain a risk-neutrality option pricing formula and an option pricing equation.

其他凝聚态物理 · 物理学 2008-12-02 Rui Vilela Mendes , Maria Joao Oliveira

In this paper, we present a method of estimating the volatility of a signal that displays stochastic noise (such as a risky asset traded on an open market) utilizing Linear Predictive Coding. The main purpose is to associate volatility with…

信息论 · 计算机科学 2007-07-13 Louis Mello

A subthreshold signal is transmitted through a channel and may be detected when some noise -- with known structure and proportional to some level -- is added to the data. There is an optimal noise level, called stochastic resonance, that…

统计理论 · 数学 2007-06-13 Stefano M. Iacus

This paper describes an online algorithm for enhancing monaural noisy speech. Firstly, a novel phase-corrected low-delay gammatone filterbank is derived for signal subband decomposition and resynthesis; the subband signals are then analyzed…

声音 · 计算机科学 2015-07-09 Zhangli Chen , Volker Hohmann

In recent years, deep or reinforcement learning approaches have been applied to optimise investment portfolios through learning the spatial and temporal information under the dynamic financial market. Yet in most cases, the existing…

投资组合管理 · 定量金融 2024-04-16 Zhenglong Li , Vincent Tam

Biased stochastic estimators, such as finite-differences for noisy gradient estimation, often contain parameters that need to be properly chosen to balance impacts from the bias and the variance. While the optimal order of these parameters…

统计方法学 · 统计学 2019-02-14 Henry Lam , Xinyu Zhang , Xuhui Zhang

We study the temporal evolution of the market efficiency in the stock markets using the complexity, entropy density, standard deviation, autocorrelation function, and probability distribution of the log return for Standard and Poor's 500…

物理与社会 · 物理学 2008-12-02 Jae-Suk Yang , Wooseop Kwak , Taisei Kaizoji , In-mook Kim

The so-called level crossing analysis has been used to investigate the empirical data set. But there is a lack of interpretation for what is reflected by the level crossing results. The fractional Gaussian noise as a well-defined stochastic…

数据分析、统计与概率 · 物理学 2011-12-08 M. Vahabi , G. R. Jafari , M. Sadegh Movahed

Portfolio optimization requires sophisticated covariance estimators that are able to filter out estimation noise. Non-linear shrinkage is a popular estimator based on how the Oracle eigenvalues can be computed using only data from the…

投资组合管理 · 定量金融 2022-10-14 Christian Bongiorno , Damien Challet

We propose an alternative approach towards cost mitigation in volatility-managed portfolios based on smoothing the predictive density of an otherwise standard stochastic volatility model. Specifically, we develop a novel variational Bayes…

计量经济学 · 经济学 2022-12-15 Mauro Bernardi , Daniele Bianchi , Nicolas Bianco

We consider the problem of detecting a small subset of defective items from a large set via non-adaptive "random pooling" group tests. We consider both the case when the measurements are noiseless, and the case when the measurements are…

信息论 · 计算机科学 2011-07-25 Chun Lam Chan , Pak Hou Che , Sidharth Jaggi , Venkatesh Saligrama

In this paper, we develop a novel large volatility matrix estimation procedure for analyzing global financial markets. Practitioners often use lower-frequency data, such as weekly or monthly returns, to address the issue of different…

计量经济学 · 经济学 2026-01-21 Sung Hoon Choi , Donggyu Kim

Recent algebraic parametric estimation techniques led to point-wise derivative estimates by using only the iterated integral of a noisy observation signal. In this paper, we extend such differentiation methods by providing a larger choice…

数值分析 · 数学 2011-03-04 Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti

Quantum advantage requires overcoming noise-induced degradation of quantum systems. Conventional methods for reducing noise such as error mitigation face scalability issues in deep circuits. Specifically, noise hampers the extraction of…

量子物理 · 物理学 2023-12-05 Yonglong Ding , Ruyu Yang

To correctly analyse data sets from current microwave detection technology, one is forced to estimate the sky signal and experimental noise simultaneously. Given a time-ordered data set we propose a formalism and method for estimating the…

天体物理学 · 物理学 2009-10-31 Pedro G. Ferreira , Andrew H. Jaffe

Based on a criterium of mathematical simplicity and consistency with empirical market data, a stochastic volatility model has been obtained with the volatility process driven by fractional noise. Depending on whether the stochasticity…

证券定价 · 定量金融 2010-07-28 R. Vilela Mendes , Maria João Oliveira