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Robust estimation for a general functional single index model via quantile regression
Zhu Hanbing,Zhang Riquan,Liu Yanghui,Ding Hui 한국통계학회 2022 Journal of the Korean Statistical Society Vol.51 No.4
This paper studies the estimation of a general functional single index model, in which the conditional distribution of the response depends on the functional predictor via a functional single index structure. We find that the slope function can be estimated consistently by the estimation obtained by fitting a misspecified functional linear quantile regression model under some mild conditions. We first obtain a consistent estimator of the slope function using functional linear quantile regression based on functional principal component analysis, and then employ a local linear regression technique to estimate the conditional quantile function and establish the asymptotic normality of the resulting estimator for it. The finite sample performance of the proposed estimation method is studied in Monte Carlo simulations, and is illustrated by an application to a real dataset.
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Zhang Mengjie,Yang Xiuyao,Zhu Ling,Xi Dengxian,Cai Hanbing,Yin Tuo,Zhang Hanyao 한국식물생명공학회 2023 Plant biotechnology reports Vol.17 No.5
Syzygium, a vital genus under Myrtaceae, is aesthetically pleasing and resistant and is used for urban greenery. However, with intensive research in recent years, an increasing number of Syzygium plants have been explored for their medicinal value. Analysing the Syzygium chloroplast (cp) genome can help assess its phylogenetic relationships and provide a theoretical basis for the development and application of Syzygium plants. In this study, we first sequenced the complete cp genomes of Syzygium grijsii and Syzygium rehderianum to investigate their phylogenetic relationships in Myrtaceae. In the copy region and reverse repeat region, 129 genes were detected, including 84 protein-coding genes, 37 tRNA genes, and eight rRNA genes. Preference analysis showed that the eight Syzygium species preferred codons ending in A/U and contained abundant repetitive sequences and SSR sites. The ycf1, rpoC2, matK and ndhB genes had the most RNA editable sites and more genes with Ka/Ks < 1, indicating that species evolution was mainly subject to purifying selection. Comparative analysis of the cp genome showed that the eight species boundaries of Syzygium were similar, but the variability of the LSC and SSC regions was higher than that of the IR region, with 280 sites with Pi > 0.015, showing a high level of nucleotide diversity. Phylogenetic analysis showed that Syzygium grijsii was closely related to Syzygium jambos, and S. rehderianum was close to Plinia aureana. The cp genome and phylogeny of S. grijsii and S. rehderianum provide a theoretical basis for Syzygium species identification and exploitation.
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