• Corpus ID: 248572336

Hypothesis testing for varying coefficient models in tail index regression

@inproceedings{Momoki2022HypothesisTF,
  title={Hypothesis testing for varying coefficient models in tail index regression},
  author={Koki Momoki and Takuma Yoshida},
  year={2022}
}
This study examines the varying coefficient model in tail index regression. The varying coefficient model is an efficient semiparametric model that avoids the curse of dimensionality when including large covariates in the model. In fact, the varying coefficient model is useful in mean, quantile, and other regressions. The tail index regression is not an exception. However, the varying coefficient model is flexible, but leaner and simpler models are preferred for applications. Therefore, it is important to… 

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References

SHOWING 1-10 OF 35 REFERENCES

Simultaneous Confidence Bands and Hypothesis Testing in Varying‐coefficient Models

Regression analysis is one of the most commonly used techniques in statistics. When the dimension of independent variables is high, it is difficult to conduct efficient non‐parametric analysis

P-splines quantile regression estimation in varying coefficient models

Quantile regression, as a generalization of median regression, has been widely used in statistical modeling. To allow for analyzing complex data situations, several flexible regression models have

Quantile regression with varying coefficients

Quantile regression provides a framework for modeling statistical quantities of interest other than the conditional mean. The regression methodology is well developed for linear models, but less so

Quantile regression in varying-coefficient models: non-crossing quantile curves and heteroscedasticity

Quantile regression is an important tool for describing the characteristics of conditional distributions. Population conditional quantile functions cannot cross for different quantile orders.

A nonparametric estimator for the conditional tail index of Pareto-type distributions

The tail index is an important parameter in the whole of extreme value theory. In this article, we consider the estimation of the tail index in the presence of a random covariate, where the

Nonparametric Quantile Estimations for Dynamic Smooth Coefficient Models

In this article, quantile regression methods are suggested for a class of smooth coefficient time series models. We use both local polynomial and local constant fitting schemes to estimate the smooth

Single-index models for extreme value index regression

Since the extreme value index (EVI) controls the tail behaviour of the distribution function, the estimation of EVI is a very important topic in extreme value theory. Recent developments in the

Tail Index Regression

In extreme value statistics, the tail index is an important measure to gauge the heavy-tailed behavior of a distribution. Under Pareto-type distributions, we employ the logarithmic function to link

Semiparametric Tail Index Regression

Abstract–Understanding why extreme events occur is often of major scientific interest in many fields. The occurrence of these events naturally depends on explanatory variables, but there is a severe

Functional-Coefficient Regression Models for Nonlinear Time Series

Abstract The local linear regression technique is applied to estimation of functional-coefficient regression models for time series data. The models include threshold autoregressive models and