## The Annals of Applied Statistics

- Ann. Appl. Stat.
- Volume 13, Number 2 (2019), 1128-1146.

### Nonparametric testing for differences in electricity prices: The case of the Fukushima nuclear accident

#### Abstract

This work is motivated by the problem of testing for differences in the mean electricity prices before and after Germany’s abrupt nuclear phaseout after the nuclear disaster in Fukushima Daiichi, Japan, in mid-March 2011. Taking into account the nature of the data and the auction design of the electricity market, we approach this problem using a Local Linear Kernel (LLK) estimator for the nonparametric mean function of sparse covariate-adjusted functional data. We build upon recent theoretical work on the LLK estimator and propose a two-sample test statistics using a finite sample correction to avoid size distortions. Our nonparametric test results on the price differences point to a Simpson’s paradox explaining an unexpected result recently reported in the literature.

#### Article information

**Source**

Ann. Appl. Stat., Volume 13, Number 2 (2019), 1128-1146.

**Dates**

Received: August 2017

Revised: November 2018

First available in Project Euclid: 17 June 2019

**Permanent link to this document**

https://projecteuclid.org/euclid.aoas/1560758440

**Digital Object Identifier**

doi:10.1214/18-AOAS1230

**Mathematical Reviews number (MathSciNet)**

MR3963565

**Zentralblatt MATH identifier**

07094848

**Keywords**

Electricity spot prices functional data analysis local linear kernel estimation nuclear power phaseout sparse functional data time series analysis

#### Citation

Liebl, Dominik. Nonparametric testing for differences in electricity prices: The case of the Fukushima nuclear accident. Ann. Appl. Stat. 13 (2019), no. 2, 1128--1146. doi:10.1214/18-AOAS1230. https://projecteuclid.org/euclid.aoas/1560758440

#### Supplemental materials

- Supplement A: R-codes and data. This supplementary material contains the R codes of the real data application and simulated data which closely resembles the original data set.Digital Object Identifier: doi:10.1214/18-AOAS1230SUPPASupplemental files are immediately available to subscribers. Non-subscribers gain access to supplemental files with the purchase of the article.
- Supplement B: Supplementary paper. This supplementary paper contains the proofs of our theoretical results and a detailed description of the data sources.Digital Object Identifier: doi:10.1214/18-AOAS1230SUPPBSupplemental files are immediately available to subscribers. Non-subscribers gain access to supplemental files with the purchase of the article.