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In 2017-2020 Jordanova and co-authors investigate probabilities for p-outside values and determine them in many particular cases. They show that these probabilities are closely related to the concept for heavy tails. Tukey's boxplots are…

Methodology · Statistics 2024-10-22 Pavlina K. Jordanova

With many pretreatment covariates and treatment factors, the classical factorial experiment often fails to balance covariates across multiple factorial effects simultaneously. Therefore, it is intuitive to restrict the randomization of the…

Statistics Theory · Mathematics 2018-12-31 Xinran Li , Peng Ding , Donald B. Rubin

The waiting time needed for a stock market index to undergo a given percentage change in its value is found to have an up-down asymmetry, which, surprisingly, is not observed for the individual stocks composing that index. To explain this,…

Physics and Society · Physics 2009-11-11 Raul Donangelo , Mogens H. Jensen , Ingve Simonsen , Kim Sneppen

We reverse-engineer the equilibrium construction process of asset prices in order to obtain returns which depend on firm characteristics, possibly in a linear fashion. One key requirement is that agents must have demands that rely…

General Finance · Quantitative Finance 2022-03-16 Guillaume Coqueret

In a stochastic volatility framework, we find a general pricing equation for the class of payoffs depending on the terminal value of a market asset and its final quadratic variation. This allows a pricing tool for European-style claims…

Pricing of Securities · Quantitative Finance 2012-06-12 Lorenzo Torricelli

Explaining empirically observed wealth and income distributions, featuring power-law tails alongside gamma or log-normal bulk shapes, challenges models that focus on either pairwise competition or individual investment mechanisms. This…

Physics and Society · Physics 2025-05-19 Yuri Ono , Atsushi Ishida

The quotient of random variables with normal distributions is examined and proven to have have power law decay, with density $f\left( x\right) \simeq f_{0}x^{-2}$, with the coefficient depending on the means and variances of the numerator…

Mathematical Finance · Quantitative Finance 2018-03-06 Carey Caginalp , Gunduz Caginalp

This article proposes a novel Bayesian multivariate quantile regression to forecast the tail behavior of energy commodities, where the homoskedasticity assumption is relaxed to allow for time-varying volatility. In particular, we exploit…

Econometrics · Economics 2024-08-08 Matteo Iacopini , Francesco Ravazzolo , Luca Rossini

We investigate entropy as a financial risk measure. Entropy explains the equity premium of securities and portfolios in a simpler way and, at the same time, with higher explanatory power than the beta parameter of the capital asset pricing…

Pricing of Securities · Quantitative Finance 2015-01-07 Mihaly Ormos , David Zibriczky

Inflation exhibits state-dependent, skewed, and fat-tailed dynamics that make risk a central concern for monetary policy. Accordingly, inflation risks are distributional and cannot be fully captured by mean-based models. We propose a…

Econometrics · Economics 2026-01-29 Yunyun Wang , Tatsushi Oka , Dan Zhu

The risk premia of traded factors are the sum of factor means and a parameter vector we denote by {\phi} which is identified from the cross section regression of alpha of individual securities on the vector of factor loadings. If phi is…

Econometrics · Economics 2024-10-23 M. Hashem Pesaran , Ron P. Smith

We study factor models that combine latent factors with firm characteristics and propose a new framework for modeling, estimating, and inferring pricing errors. Following Zhang (2024), our approach decomposes mispricing into two distinct…

Econometrics · Economics 2025-11-06 Jungjun Choi , Ming Yuan

We propose a parsimonious quantile regression framework to learn the dynamic tail behaviors of financial asset returns. Our model captures well both the time-varying characteristic and the asymmetrical heavy-tail property of financial time…

Risk Management · Quantitative Finance 2020-10-19 Xing Yan , Weizhong Zhang , Lin Ma , Wei Liu , Qi Wu

For measuring tail risk with scarce extreme events, extreme value analysis is often invoked as the statistical tool to extrapolate to the tail of a distribution. The presence of large datasets benefits tail risk analysis by providing more…

Methodology · Statistics 2023-12-18 Liujun Chen , Deyuan Li , Chen Zhou

The aim of this study is to investigate quantitatively whether share prices deviated from company fundamentals in the stock market crash of 2008. For this purpose, we use a large database containing the balance sheets and share prices of…

General Finance · Quantitative Finance 2018-08-07 Taisei Kaizoji , Michiko Miyano

In risk theory, financial asset returns often follow heavy-tailed distributions. Investors and risk managers used to compare risk measures as the value at risk or tail value at risk in order over the whole confidence levels to avoid the…

Statistics Theory · Mathematics 2024-12-12 Alfonso J. Bello , Julio Mulero , Miguel A. Sordo , Alfonso Suárez-Llorens

The quantitative analysis of financial time series often reveals two distinct features that standard Gaussian frameworks fail to capture: heavy-tailed marginal distributions and the phenomenon of extreme co-movements.While extreme value…

Statistics Theory · Mathematics 2026-05-14 Debanjana Datta , Diganta Mukherjee

We propose a set of dependence measures that are non-linear, local, invariant to a wide range of transformations on the marginals, can show tail and risk asymmetries, are always well-defined, are easy to estimate and can be used on any…

Statistical Finance · Quantitative Finance 2023-09-04 Aleksy Leeuwenkamp , Wentao Hu

Strong anomalous diffusion is {often} characterized by a piecewise-linear spectrum of the moments of displacement. The spectrum is characterized by slopes $\xi$ and $\zeta$ for small and large moments, respectively, and by the critical…

We present a phenomenological study of stock price fluctuations of individual companies. We systematically analyze two different databases covering securities from the three major US stock markets: (a) the New York Stock Exchange, (b) the…

Statistical Mechanics · Physics 2009-10-31 V. Plerou , P. Gopikrishnan , L. A. N. Amaral , M. Meyer , H. E. Stanley
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