# An Inaugural Dissertation

@inproceedings{Lent2017AnID, title={An Inaugural Dissertation}, author={Adolph C Lent and James M. Swords and Thomas Swords}, year={2017} }

A task in statistics is to find meaningful associations or dependencies between multivariate random variables or in multivariate, time-dependent stochastic processes. Hawkes (1971) introduced the powerful multivariate point process model of mutually exciting processes (Hawkes model) to explain causal structure in data. Therefore, we discuss several causality concepts and show that causal structure is fully encoded in the corresponding Hawkes kernels. Hence, for causal inference and for… Expand

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#### References

SHOWING 1-10 OF 1,755 REFERENCES

Non-parametric kernel estimation for symmetric Hawkes processes. Application to high frequency financial data

- Mathematics, Economics
- 2012

Abstract
We define a numerical method that provides a non-parametric estimation of the kernel
shape in symmetric multivariate Hawkes processes. This method relies on second order
statistical… Expand

Comment on “ Detecting Novel Associations in Large Data Sets ”

- Computer Science
- 2012

A novel measure of dependence the maximal information coefficient aimed to capture a wide range of associations between pairs of variables, and a statistical test for independence based on MIC, and the pairs with the lowest p-values are studied. Expand

The affinely invariant distance correlation

- Mathematics
- 2014

Szekely, Rizzo and Bakirov (Ann. Statist. 35 (2007) 2769–2794) and Szekely and Rizzo (Ann. Appl. Statist. 3 (2009) 1236–1265), in two seminal papers, introduced the powerful concept of distance… Expand

A Correlation for the 21st Century

- Mathematics, Medicine
- Science
- 2011

The maximal information coefficient, or MIC, is introduced that can be used to determine nonlinear correlations in data sets equitably and behaves as the authors'd like in the nonlinear case. Expand

A Kernel Two-Sample Test

- Mathematics, Computer Science
- J. Mach. Learn. Res.
- 2012

This work proposes a framework for analyzing and comparing distributions, which is used to construct statistical tests to determine if two samples are drawn from different distributions, and presents two distribution free tests based on large deviation bounds for the maximum mean discrepancy (MMD). Expand

Investigating causal relations by econometric models and cross-spectral methods

- Mathematics
- 2001

There occurs on some occasions a difficulty in deciding the direction of causality between two related variables and also whether or not feedback is occurring. Testable definitions of causality and… Expand

Spectral Estimation of Covolatility from Noisy Observations Using Local Weights

- Mathematics
- 2014

type="main" xml:id="sjos12019-abs-0001"> We propose localized spectral estimators for the quadratic covariation and the spot covolatility of diffusion processes, which are observed discretely with… Expand

A Lego System for Conditional Inference

- Mathematics
- 2006

Conditioning on the observed data is an important and flexible design principle for statistical test procedures. Although generally applicable, permutation tests currently in use are limited to the… Expand

An empirical Bayes approach to inferring large-scale gene association networks

- Mathematics, Computer Science
- Bioinform.
- 2005

A novel framework for small-sample inference of graphical models from gene expression data that focuses on the so-called graphical Gaussian models (GGMs) that are now frequently used to describe gene association networks and to detect conditionally dependent genes is introduced. Expand

Equivalence of distance-based and RKHS-based statistics in hypothesis testing

- Mathematics, Computer Science
- ArXiv
- 2012

It is shown that the energy distance most commonly employed in statistics is just one member of a parametric family of kernels, and that other choices from this family can yield more powerful tests. Expand