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This paper proposes methods to investigate whether the bubble patterns observed in individual series are common to various series. We detect the non-linear dynamics using the recent mixed causal and noncausal models. Both a likelihood ratio…

Econometrics · Economics 2022-07-26 Gianluca Cubadda , Alain Hecq , Elisa Voisin

Climate change has emerged as a significant global concern, attracting increasing attention worldwide. While green bubbles may be examined through a social bubble hypothesis, it is essential not to neglect a Climate Minsky moment triggered…

Econometrics · Economics 2026-01-06 Gian Luca Vriz , Luigi Grossi

This article provides a self-contained overview of the theory of rational asset price bubbles. We cover topics from basic definitions, properties, and classical results to frontier research, with an emphasis on bubbles attached to real…

General Economics · Economics 2024-02-05 Tomohiro Hirano , Alexis Akira Toda

Economic and financial time series can feature locally explosive behavior when a bubble is formed. The economic or financial bubble, especially its dynamics, is an intriguing topic that has been attracting longstanding attention. To…

Statistics Theory · Mathematics 2025-01-29 Xuanling Yang , Dong Li , Ting Zhang

This paper considers one-dimensional mixed causal/noncausal autoregressive (MAR) processes with heavy tail, usually introduced to model trajectories with patterns including asymmetric peaks and throughs, speculative bubbles, flash crashes,…

Methodology · Statistics 2025-11-11 Christian Gouriéroux , Yang Lu , Christian-Yann Robert

In this paper we employ deep learning techniques to detect financial asset bubbles by using observed call option prices. The proposed algorithm is widely applicable and model-independent. We test the accuracy of our methodology in numerical…

Mathematical Finance · Quantitative Finance 2024-06-21 Francesca Biagini , Lukas Gonon , Andrea Mazzon , Thilo Meyer-Brandis

We define a financial bubble as a period of unsustainable growth, when the price of an asset increases ever more quickly, in a series of accelerating phases of corrections and rebounds. More technically, during a bubble phase, the price…

Risk Management · Quantitative Finance 2014-04-09 Didier Sornette , Peter Cauwels

We consider a non-interacting one-dimensional gas accelerated by a constant and uniform external field. The energy absorbed from the field is transferred via elastic collisions to a bath of scattering obstacles. At gas-obstacle encounters…

Statistical Mechanics · Physics 2009-11-11 Jaroslaw Piasecki , Rodrigo Soto

Noncausal, or anticipative, heavy-tailed processes generate trajectories featuring locally explosive episodes akin to speculative bubbles in financial time series data. For $(X_t)$ a two-sided infinite $\alpha$-stable moving average (MA),…

Probability · Mathematics 2021-02-08 Sebastien Fries

Establishing unambiguously the existence of speculative bubbles is an on-going controversy complicated by the need of defining a model of fundamental prices. Here, we present a novel empirical method which bypasses all the difficulties of…

Statistical Mechanics · Physics 2015-06-24 B. M. Roehner , D. Sornette

We develop a methodology for detecting asset bubbles using a neural network. We rely on the theory of local martingales in continuous-time and use a deep network to estimate the diffusion coefficient of the price process more accurately…

Statistical Finance · Quantitative Finance 2020-02-18 Oksana Bashchenko , Alexis Marchal

Recently research on bubble and its burst attract much interest of researchers in various field such as economics and physics. Economists have been regarding bubble as a disorder in prices. However, this research strategy has overlooked an…

Physics and Society · Physics 2015-05-19 Katsuhiro Nishinari , Mitsuru Iwamura , Yukiko Umeno Saito , Tsutomu Watanabe

Given a stationary point process, an intensity burst is defined as a short time period during which the number of counts is larger than the typical count rate. It might signal a local non-stationarity or the presence of an external…

Trading and Market Microstructure · Quantitative Finance 2018-04-04 Marcello Rambaldi , Vladimir Filimonov , Fabrizio Lillo

It is commonplace to encounter nonstationary data, of which the underlying generating process may change over time or across domains. The nonstationarity presents both challenges and opportunities for causal discovery. In this paper we…

Artificial Intelligence · Computer Science 2016-06-21 Kun Zhang , Biwei Huang , Jiji Zhang , Bernhard Schölkopf , Clark Glymour

We develop a model for point processes on the real line, where the intensity can be locally unbounded without inducing an explosion. In contrast to an orderly point process, for which the probability of observing more than one event over a…

Econometrics · Economics 2026-01-16 Kim Christensen , Alexei Kolokolov

Using a self-similar approach a general nonsteady theory is elaborated for the case of the diffusion growth of a gas bubble in a supersaturated solution of gas in liquid. Due to the fact that the solution and the bubble in it are physically…

Statistical Mechanics · Physics 2009-06-25 A. P. Grinin , F. M. Kuni , G. Yu. Gor

Recently, the existence of so-called granular bubbles and droplets has been demonstrated experimentally. Granular bubbles and droplets are clusters of particles that respectively rise and sink if submerged in an aerated and vibrated bed of…

Soft Condensed Matter · Physics 2022-08-10 Jens P. Metzger , Louis Girardin , Nicholas A. Conzelmann , Christoph R. Müller

We present a dynamical theory of asset price bubbles that exhibits the appearance of bubbles and their subsequent crashes. We show that when speculative trends dominate over fundamental beliefs, bubbles form, leading to the growth of asset…

adap-org · Physics 2008-02-03 Michael Youssefmir , Bernardo Huberman , Tad Hogg

The bubble is a controversial and important issue. Many methods which based on the rational expectation have been proposed to detect the bubble. However, for some developing countries, epically China, the asset markets are so young that for…

Statistical Finance · Quantitative Finance 2016-10-25 Shu-Peng Chen , Ling-Yun He

This study presents a three-step machine learning framework to predict bubbles in the S&P 500 stock market by combining financial news sentiment with macroeconomic indicators. Building on traditional econometric approaches, the proposed…

Statistical Finance · Quantitative Finance 2025-10-21 Abraham Atsiwo
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