# Testing For Global Covariate Effects in Dynamic Interaction Event Networks

@inproceedings{Kreiss2021TestingFG, title={Testing For Global Covariate Effects in Dynamic Interaction Event Networks}, author={Alexander Kreiss and Enno Mammen and Wolfgang Polonik}, year={2021} }

In statistical network analysis it is common to observe so called interaction data. Such data is characterized by actors forming the vertices and inter-acting along edges of the network, where edges are randomly formed and dissolved over the observation horizon. In addition covariates are observed and the goal is to model the impact of the covariates on the interactions. We distinguish two types of covariates: global, system-wide covariates (i.e. covariates taking the same value for all…

## References

SHOWING 1-10 OF 23 REFERENCES

### Point process modelling for directed interaction networks

- Computer ScienceArXiv
- 2010

A model is introduced for treating directed interactions as a multivariate point process: a Cox multiplicative intensity model using covariates that depend on the history of the process, and consistency and asymptotic normality are proved.

### Correlation bounds, mixing and m-dependence under random time-varying network distances with an application to Cox-processes

- Mathematics, Computer Science
- 2019

This work considers multivariate stochastic processes indexed either by vertices or pairs of vertices of a dynamic network, and considers three concepts based on correlation, beta-mixing with time-varying beta-coefficients and conditional independence which allow proving weak-dependence results.

### A semiparametric extension of the stochastic block model for longitudinal networks

- MathematicsBiometrika
- 2018

To model recurrent interaction events in continuous time, an extension of the stochastic block model is proposed where every individual belongs to a latent group and interactions between two…

### Nonparametric inference for continuous-time event counting and link-based dynamic network models

- Mathematics, Computer ScienceElectronic Journal of Statistics
- 2019

A flexible approach for modeling both dynamic event counting and dynamic link-based networks based on counting processes and estimation in these models is proposed, and nonparametric likelihood based estimation of parameter functions via kernel smoothing is considered.

### On Estimation and Tests of Time‐Varying Effects in the Proportional Hazards Model

- Mathematics
- 2004

Abstract. Cox's proportional hazards model is routinely used in many applied fields, some times, however, with too little emphasis on the fit of the model. In this paper, we suggest some new tests…

### Dynamic Regression Models for Survival Data

- Mathematics
- 2007

Over the past few decades, a substantial number of books have been published on the topic of survival analysis. This book is aimed at advanced graduate students and statistical researchers in…

### Statistical Models Based on Counting Processes.

- Mathematics
- 1993

"Statistical Models Based on Counting Processes" may be viewed as a research monograph for mathematical statisticians and biostatisticians, although almost all methods are given in sufficient detail to be used in practice by other mathematically oriented researchers studying event histories.

### Dependent wild bootstrap for degenerate U- and V-statistics

- MathematicsJ. Multivar. Anal.
- 2013

### Large Sample Theory for $U$-Statistics and Tests of Fit

- Mathematics
- 1977

Let $X_{ni}, i = 1, \cdots, n$ be i.i.d. random variables on an arbitrary measurable space $(\mathscr{X}, B)$. Suppose $\mathscr{L}(X_{ni}) = Q_{n1}, i = 1, \cdots, n$ and let $P_0$ be a fixed…

### Hazard Plotting for Incomplete Failure Data

- Geology
- 1969

Incomplete failure data consisting of times to failure on failed units and differing running times or unfailed units are called multiply censored. Data on units operating in the field, for example,…