Description Details Author(s) References
The package contains simplicial depth statistics for autoregressive processes with explosion (rexpar - robust explosive processes with autoregression). Tests statisticsbased on Kustosz and Mueller (2014), Kustosz, Leucht and Mueller (2016) and Kustosz, Mueller and Wendler (2016) are implemented and some functions to generate examples are included. Further estimators, confidence sets are implementd. For the one dimensional AR Model, we also present a prediction algorithm and change point detection methods for one and two parameter models are proposed, as defined in Kustosz (2016).
Package: | rexpar |
Type: | Package |
Version: | 0.99(1.0beta) |
Date: | 2014-07-25 |
License: | GPL-2 |
Christoph Kustosz and Sebastian Szugat
Maintainer: Kustosz, Christoph <kustosz@statistik.tu-dortmund.de>
Kustosz, C. (2016). Depth based estimators and tests for
autoregressive processes with application. Ph. D. thesis. TU Dortmund.
Kustosz C., Leucht A. and Mueller Ch. H. (2016). Tests based on simplicial depth for AR(1) models with
explosion. Journal of Time Series Analysis. In press.
Kustosz C., Mueller Ch. H. and Wendler M. (2016). Simplified Simplicial Depth for Regression and
Autoregressive Growth Processes. Journal of Statistical Planning and Inference. In press.
Kustosz C. and Mueller Ch. H. (2014). Analysis of crack growth with robust distribution-
free estimators and tests for nonstationary autoregressive processes. Statistical
Papers 55, 125-140.
Wang X. and Yu, J. (2013). Limit theory for an explosive autoregressive process.
Working Paper, No 08-2013. Singapore Management University, School of Economics.
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