We propose a novel Joint and Individual Component Regression (JICO) model to analyze multi-group data.

Methodology Applications

Nonparametric regression subject to convexity or concavity constraints is increasingly popular in economics, finance, operations research, machine learning, and statistics.

Methodology

We propose a sequential, anytime valid method to test the conditional independence of a response $Y$ and a predictor $X$ given a random vector $Z$.

Methodology Statistics Theory Statistics Theory

The actual Gaussian efficiency of $S_n$ and $Q_n$ for small sample sizes is noticeable lower than in the asymptotic case.

Methodology 62G05, 62G35, 62Q05

In this manuscript, we review some of the approaches used to select a distribution for the needed mixture model first.

Applications

Nonetheless, it is well-known that the maximum likelihood-based inference suffers from the lack of robustness in the presence of outliers.

Methodology

An application of the proposed method to the ADNI gene expression data and the IGAP GWAS summary data identifies 18 causal genes associated with Alzheimer's disease, including APOE and TOMM40, in addition to 7 other genes missed by two-stage least squares considering only linear relationships.

Methodology Applications Computation

We propose a data segmentation methodology for the high-dimensional linear regression problem where the regression parameters are allowed to undergo multiple changes.

Methodology

A R package MVPBT (https://github. com/nomahi/MVPBT) is developed to implement the generalized Egger tests developed by Noma (2020; Biometrics 76, 1255-1259) for DTA meta-analysis.

Computation Applications

Modern application of A/B tests is challenging due to its large scale in various dimensions, which demands flexibility to deal with multiple testing sequentially.

Methodology