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In this research, starting from a widely accepted definition of risk, we support the idea that risk reduction is a more realistic objective than risk minimization, which represents a theoretical utopia. Furthermore, significant risk…

风险管理 · 定量金融 2026-05-01 Pierpaolo Uberti

This paper examines the precision of estimators of Quantile-Based Risk Measures (Value at Risk, Expected Shortfall, Spectral Risk Measures). It first addresses the question of how to estimate the precision of these estimators, and proposes…

风险管理 · 定量金融 2011-03-30 Kevin Dowd , John Cotter

Confidence limits are common place in physics analysis. Great care must be taken in their calculation and use, especially in cases of limited statistics when often one-sided limits are quoted. In order to estimate the stability of the…

数据分析、统计与概率 · 物理学 2007-05-23 Rajendran Raja

The gain-loss ratio is known to enjoy very good properties from a normative point of view. As a confirmation, we show that the best market gain-loss ratio in the presence of a random endowment is an acceptability index and we provide its…

投资组合管理 · 定量金融 2015-03-13 Sara Biagini , Mustafa Pinar

Parametric statistical methods play a central role in analyzing risk through its underlying frequency and severity components. Given the wide availability of numerical algorithms and high-speed computers, researchers and practitioners often…

应用统计 · 统计学 2025-06-17 Michael R. Powers , Jiaxin Xu

The upsilon distribution, the sum of independent chi random variates and a normal, is introduced. As a special case, the upsilon distribution includes Lecoutre's lambda-prime distribution. The upsilon distribution finds application in…

统计金融 · 定量金融 2021-08-17 Steven E. Pav

Value at risk (VaR) is a risk measure that has been widely implemented by financial institutions. This paper measures the correlation among asset price changes implied from VaR calculation. Empirical results using US and UK equity indexes…

风险管理 · 定量金融 2011-03-30 John Cotter , François Longin

Roy's `Safety First' criterion for selecting one risky asset from many is adapted to the case of non-normal returns, via Cornish Fisher expansion. The resulting investment objective is consistent with first order stochastic dominance, and…

统计金融 · 定量金融 2015-06-16 Steven E. Pav

In general, underestimation of risk is something which should be avoided as far as possible. Especially in financial asset management, equity risk is typically characterized by the measure of portfolio variance, or indirectly by quantities…

统计金融 · 定量金融 2017-07-31 Thomas Schürmann , Ingo Hoffmann

The hazard ratio is one of the most commonly reported measures of treatment effect in randomised trials, yet the source of much misinterpretation. This point was made clear by (Hernan, 2010) in commentary, which emphasised that the hazard…

统计理论 · 数学 2018-10-23 Torben Martinussen , Stijn Vansteelandt , Per Kragh Andersen

The Total Portfolio Approach and Strategic Asset Allocation are widely viewed as competing frameworks for institutional portfolio management. We argue they differ in a single governance parameter: the tracking error constraint. Using U.S.…

投资组合管理 · 定量金融 2026-03-04 Ashwin Alankar , Allan Maymin , Philip Maymin , Myron Scholes , Sujiang Zhang

We present extensive evidence that ``risk premium'' is strongly correlated with tail-risk skewness but very little with volatility. We introduce a new, intuitive definition of skewness and elicit an approximately linear relation between the…

综合金融 · 定量金融 2015-11-02 Y. Lempérière , C. Deremble , T. T. Nguyen , P. Seager , M. Potters , J. P. Bouchaud

We propose a novel approach to infer investors' risk preferences from their portfolio choices, and then use the implied risk preferences to measure the efficiency of investment portfolios. We analyze a dataset spanning a period of six…

投资组合管理 · 定量金融 2020-10-28 Agostino Capponi , Zhaoyu Zhang

Forward regression is a statistical model selection and estimation procedure which inductively selects covariates that add predictive power into a working statistical regression model. Once a model is selected, unknown regression parameters…

机器学习 · 统计学 2018-04-12 Damian Kozbur

The question of quantifying the sharpness (or unsharpness) of a quantum mechanical effect is investigated. Apart from sharpness, another property, bias, is found to be relevant for the joint measurability or coexistence of two effects.…

数学物理 · 物理学 2010-04-20 Paul Busch

The total duration of drawdowns is shown to provide a moment-free, unbiased, efficient and robust estimator of Sharpe ratios both for Gaussian and heavy-tailed price returns. We then use this quantity to infer an analytic expression of the…

统计金融 · 定量金融 2017-02-09 Damien Challet

We use Fourier analysis to access risk in financial products. With it we analyze price changes of e.g. stocks. Via Fourier analysis we scrutinize quantitatively whether the frequency of change is higher than a change in (conserved) company…

统计金融 · 定量金融 2024-08-21 Michael Grabinski , Galiya Klinkova

The ongoing concern about systemic risk since the outburst of the global financial crisis has highlighted the need for risk measures at the level of sets of interconnected financial components, such as portfolios, institutions or members of…

风险管理 · 定量金融 2017-03-24 Yannick Armenti , Stephane Crepey , Samuel Drapeau , Antonis Papapantoleon

Traders and investors involved in an option contract having the underlying stock in range bound are likely to lose their initial investment. Timing in buying an option contract is of capital importance. In a recent article [1] the…

综合金融 · 定量金融 2013-07-24 Ovidiu Racorean

Nearly all estimators in statistical prediction come with an associated tuning parameter, in one way or another. Common practice, given data, is to choose the tuning parameter value that minimizes a constructed estimate of the prediction…

统计理论 · 数学 2017-01-17 Ryan J. Tibshirani , Saharon Rosset