Results 51 to 60 of about 36,708 (189)
On Selection of Cross‐Section Averages in Non‐Stationary Environments
Journal of Time Series Analysis, EarlyView.ABSTRACT Information criteria (ICs) have been widely used in factor models to estimate an unknown number of latent factors. It has recently been shown that ICs perform well in Common Correlated Effects (CCE) and related settings when selecting a set of cross‐section averages (CAs) sufficient for the factor space under stationary factors.
Jan Ditzen, Ovidijus Stauskas
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Empirical‐Process Limit Theory and Filter Approximation Bounds for Score‐Driven Time Series Models
Journal of Time Series Analysis, EarlyView.ABSTRACT This article examines the filtering and approximation‐theoretic properties of score‐driven time series models. Under specific Lipschitz‐type and tail conditions, new results are derived, leading to maximal and deviation inequalities for the filtering approximation error using empirical process theory.
Enzo D'Innocenzo
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A property of two-parameter martingales with path-independent variation
Stochastic Processes and their Applications, 1987 The paper is devoted to some delicate and specific properties of two- parameter martingales. The authors consider continuous, vanishing on the axes, two-parameter martingales with path-independent variation (p.i.v.), i.e. their quadratic variations along all increasing paths from the origin and with the same end point have the same values.
Nualart, David, Utzet, Frederic
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Estimation of the Intercept Parameter in Integrated Galton–Watson Processes
Journal of Time Series Analysis, EarlyView.ABSTRACT We study the estimation of the intercept parameter in an integrated Galton–Watson process, an important building block for many count‐valued time series models. In this unit root setting, the ordinary least squares estimator is known to be inconsistent, whereas the existing weighted least squares (WLS) estimator is consistent only in the case ...
Yang Lu
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On the relations between increasing functions associated with two-parameter continuous martingales
Stochastic Processes and their Applications, 1990 Let \((\Omega,{\mathcal F},P,({\mathcal F}_ z)_{z\in T})\), \(T=[0,1]^ 2\), be a stochastic two-parameter basis satisfying the usual (F1)-(F4) conditions of Cairoli and Walsh. Let also M be a two-parameter continuous martingale bounded in \(L^ 2\) and null on the axes. Then \(M^ 2\) has the following Doob-Meyer decomposition: \[ M^ 2_{st}=2\int^{s}_{0}\
Nualart, D., Sanz, M., Zakai, M.
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Testing for Rough Volatility When Prices Are Purely Discontinuous
Journal of Time Series Analysis, EarlyView.ABSTRACT We consider the problem of nonparametric testing for rough volatility, using high‐frequency data with a fixed time span, in a setting where the price is purely discontinuous. More specifically, we analyze the asymptotic properties of a test we developed in previous work in a pure‐jump setting.
Carsten H. Chong, Viktor Todorov
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On Testing for Independence Between Generalized Error Models of Several Time Series
Journal of Time Series Analysis, EarlyView.ABSTRACT We define generalized innovations associated with generalized error models having arbitrary distributions, that is, distributions that can be mixtures of continuous and discrete distributions. These models include stochastic volatility models and regime‐switching models with possibly zero‐inflated regimes.
Kilani Ghoudi +2 more
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Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
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A Test of the Martingale Hypothesis [PDF]
This paper proposes a statistical test of the martingale hypothesis. It can be used to test whether a given time series is a martingale process against certain non-martingale alternatives.
Park, Joon Y., Whang, Yoon-Jae
core
Mathematical Finance, EarlyView.ABSTRACT Perpetual futures are contracts without expiration date in which the anchoring of the futures price to the spot price is ensured by periodic funding payments from long to short. We derive explicit expressions for the no‐arbitrage price of various perpetual contracts, including linear, inverse, and quantos futures in both discrete and ...
Damien Ackerer +2 more
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