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Keywords = wild cluster bootstrap

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16 pages, 325 KB  
Article
Fast Cluster Bootstrap Methods for Spatial Error Models
by Yu Zheng and Honggang Fan
Mathematics 2025, 13(18), 2913; https://doi.org/10.3390/math13182913 - 9 Sep 2025
Viewed by 442
Abstract
Typically, the traditional bootstrap methods for parameter inference of spatial error models suffer from high computational costs, so this study proposes fast cluster bootstrap methods for spatial error models to deal with the dilemma. The key idea is to calculate the sufficient statistics [...] Read more.
Typically, the traditional bootstrap methods for parameter inference of spatial error models suffer from high computational costs, so this study proposes fast cluster bootstrap methods for spatial error models to deal with the dilemma. The key idea is to calculate the sufficient statistics for each cluster before performing the bootstrap loop of the spatial error model, and based on these sufficient statistics, all quantities needed for bootstrap inference can be computed. Furthermore, this study performed Monte Carlo simulations, and the result reveals that compared with traditional bootstrap methods, our proposed methods can reduce the computational cost substantially and improve the reliability for obtaining the bootstrap test statistics and confidence intervals of the parameters for spatial error models. Full article
(This article belongs to the Section D: Statistics and Operational Research)
16 pages, 3184 KB  
Article
The Chloroplast Genome of Wild Saposhnikovia divaricata: Genomic Features, Comparative Analysis, and Phylogenetic Relationships
by Shanyong Yi, Haibo Lu, Wei Wang, Guanglin Wang, Tao Xu, Mingzhi Li, Fangli Gu, Cunwu Chen, Bangxing Han and Dong Liu
Genes 2022, 13(5), 931; https://doi.org/10.3390/genes13050931 - 23 May 2022
Cited by 8 | Viewed by 3189
Abstract
Saposhnikovia divaricata, a well-known Chinese medicinal herb, is the sole species under the genus Saposhnikovia of the Apiaceae subfamily Apioideae Drude. However, information regarding its genetic diversity and evolution is still limited. In this study, the first complete chloroplast genome (cpDNA) of [...] Read more.
Saposhnikovia divaricata, a well-known Chinese medicinal herb, is the sole species under the genus Saposhnikovia of the Apiaceae subfamily Apioideae Drude. However, information regarding its genetic diversity and evolution is still limited. In this study, the first complete chloroplast genome (cpDNA) of wild S. divaricata was generated using de novo sequencing technology. Similar to the characteristics of Ledebouriella seseloides, the 147,834 bp-long S. divaricata cpDNA contained a large single copy, a small single copy, and two inverted repeat regions. A total of 85 protein-coding, 8 ribosomal RNA, and 36 transfer RNA genes were identified. Compared with five other species, the non-coding regions in the S. divaricata cpDNA exhibited greater variation than the coding regions. Several repeat sequences were also discovered, namely, 33 forward, 14 reverse, 3 complement, and 49 microsatellite repeats. Furthermore, phylogenetic analysis using 47 cpDNA sequences of Apioideae members revealed that L. seseloides and S. divaricata clustered together with a 100% bootstrap value, thereby supporting the validity of renaming L. seseloides to S. divaricata at the genomic level. Notably, S. divaricata was most closely related to Libanotis buchtormensis, which contradicts previous reports. Therefore, these findings provide a valuable foundation for future studies on the genetic diversity and evolution of S. divaricata. Full article
(This article belongs to the Section Plant Genetics and Genomics)
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