Finite mixture models are a popular technique for modelling unobserved heterogeneity or to approximate general distribution functions in a semi-parametric way. They are used in a lot of different areas such as astronomy, biology, economics, marketing or medicine.
This package is the implementation of popular robust mixture regression methods based on different algorithms including: fleximix, finite mixture models and latent class regression; CTLERob, component-wise adaptive trimming likelihood estimation; mixbi, bi-square estimation; mixL, Laplacian distribution; mixt, t-distribution; TLE, trimmed likelihood estimation.
The implemented algorithms includes:  CTLERob stands for Component-wise adaptive Trimming Likelihood Estimation based mixture regression; mixbi stands for mixture regression based on bi-square estimation; mixLstands for mixture regression based on Laplacian distribution; TLE stands for Trimmed Likelihood Estimation based mixture regression. For more detail of the algorithms, please refer to below references.
Reference: Chun Yu, Weixin Yao, Kun Chen (2017) <doi:10.1002/cjs.11310>.
NeyKov N, Filzmoser P, Dimova R et al. (2007) <doi:10.1016/j.csda.2006.12.024>.
Bai X, Yao W. Boyer JE (2012) <doi:10.1016/j.csda.2012.01.016>.
Wennan Chang, Xinyu Zhou, Yong Zang, Chi Zhang, Sha Cao (2020) <arXiv:2005.11599>.

flexmix, robustbase, gtools, MASS,
methods,robust,lars,dplyr,rlang,
scales,gplots,grDevices,graphics,RColorBrewer,stats

flexmix, robustbase, gtools, MASS,
methods,robust,lars,dplyr,rlang,
scales,gplots,grDevices,graphics,RColorBrewer,stats,glmnet

Periodogram methods for irregularly sampled time series
(especially light curves occurring in astroparticle physics)
and periodicity detection methods
Anita M. Thieler, Jonathan Rathjens and Roland Fried, with contributions from Brenton R. Clarke, Uwe Ligges, Matias Salibian-Barrera, Gert Willems and Victor Yohai
robustbase, quantreg, splines, BB, rgenoud
Package to calculate periodograms based on (robustly) fitting periodic functions to light curves (irregularly observed time series, possibly with measurement accuracies). Three main functions are included: RobPer calculates the periodogram. Outlying periodogram bars (indicating a period) can be detected with betaCvMfit. Artificial light curves can be generated using the function tsgen. For more details see TRSFB876.