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Testing for jumps in a discretely observed price process with endogenous sampling times

内生抽样时点下离散观测价格过程的跳跃检验

This paper introduces a novel nonparametric high-frequency jump test for discretely observed Itô semimartingales. Based on observations sampled recursively at first exit times from a symmetric double barrier, our method distinguishes between threshold exceedances caused by the Brownian component and jumps, which enables the construction of a feasible, noise-robust statistical test. Simulation results demonstrate superior finite-sample performance of our test compared to…

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Realized candlestick wicks

基于日内蜡烛图影线的已实现方差估计

We develop a novel nonparametric estimator of integrated variance by summing up the squared wick lengths of intraday candlesticks over a fixed time interval. The proposed wick-based estimator is robust to short-lived extreme price movements, such as gradual jumps and flash crashes. We investigate the asymptotic properties of the proposed estimator, and show that its asymptotic variance is about four times smaller than the state-of-the-art differenced-return volatility (DV)…

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Parametric risk-neutral density estimation via finite lognormal-Weibull mixtures

基于有限对数正态—威布尔混合的参数化风险中性密度估计

This paper proposes a new parametric risk-neutral density (RND) estimator based on a finite lognormal-Weibull mixture (LWM) density. We establish the consistency and asymptotic normality of the LWM method in a general misspecified parametric framework. Based on the theoretical results, we propose a sequential test procedure to evaluate the goodness-of-fit of the LWM model, which leads to an adaptive choice for the number and type of mixture components. Our simulation results…

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Least Squares Inference on Integrated Volatility and the Relationship Between Efficient Prices and Noise

积分波动率及有效价格与噪声关系的最小二乘推断

The expected value of sums of squared intraday returns (realized variance) gives rise to a least squares regression which adapts itself to the assumptions of the noise process and allows for joint inference on integrated variance (), noise moments, and price-noise relations. In the iid noise case, we derive the asymptotic variance of the and noise variance estimators and show that they are consistent. The joint estimation approach is particularly attractive as it reveals…

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An inflated multivariate integer count hurdle model: an application to bid and ask quote dynamics

膨胀型多元整数计数跨栏模型:买卖报价动态应用

Abstract In this paper we develop a model for the conditional inflated multivariate density of integer count variables with domain ℤ n , n ∈ ℕ . Our modelling framework is based on a copula approach and can be used for a broad set of applications where the primary characteristics of the data are: (i) discrete domain; (ii) the tendency to cluster at certain outcome values; and (iii) contemporaneous dependence. These kinds of properties can be found for high‐ or…

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