Package: ArvindSt Title: Five Novel Stochastic Regression Models with Arvind-Distributed Errors and Effects Version: 1.0.0 Authors@R: c( person("Shikhar", "Tyagi", email = "shikhar1093tyagi@gmail.com", role = c("aut", "cre"), comment = c(ORCID = "0000-0003-1606-0844")), person("Arvind", "Pandey", email = "arvindmzu@gmail.com", role = "aut") ) Description: Implements the 'Arvind' distribution and five novel stochastic regression models that replace the traditional Gaussian error assumption with 'Arvind'-distributed errors. The 'Arvind' distribution is a flexible single-parameter continuous distribution on the positive real line characterised by a polynomial numerator with Gaussian-type decay. The package provides complete distribution functions (darvind(), parvind(), qarvind(), rarvind()), maximum likelihood estimation via fit_arvind_mle(), and five model-fitting routines: Random Walk on Coefficients via fit_rw1(), Time-Varying Coefficient Linear Model via fit_tvlm(), Simulation-Extrapolation via fit_simex(), Mixed-Effects Regression via fit_mixed(), and Regime-Switching Hidden Markov Model via fit_hmm(). Additionally provides Monte Carlo forecasting with prediction intervals via forecast_arvind(), comprehensive goodness-of-fit diagnostics (21 metrics and 25 plots) via diagnostics_arvind() and plot_arvind(), k-fold and rolling-window cross-validation via cv_arvind(), and unified model comparison via summary_arvind(). For more details see Pandey, Singh, Tyagi, and Tyagi (2024) "Modelling climate, COVID-19, and reliability data: A new continuous lifetime model under different methods of estimation", Statistics and Applications, 22(2), . License: MIT + file LICENSE Depends: R (>= 4.0.0) Imports: stats, graphics, grDevices, utils, ggplot2, forecast, tvReg, lme4, depmixS4, reshape2, rlang Suggests: testthat (>= 3.0.0), knitr, rmarkdown Config/testthat/edition: 3 Encoding: UTF-8 Language: en-US RoxygenNote: 7.3.3 VignetteBuilder: knitr NeedsCompilation: no Packaged: 2026-07-03 12:10:38 UTC; root Author: Shikhar Tyagi [aut, cre] (ORCID: ), Arvind Pandey [aut] Maintainer: Shikhar Tyagi Config/pak/sysreqs: cmake make libicu-dev Repository: https://cranhaven.r-universe.dev Date/Publication: 2026-07-03 02:02:00 UTC RemoteUrl: https://github.com/cranhaven/cranhaven.r-universe.dev RemoteRef: package/ArvindSt RemoteSha: 7d4b6275499f4fbf7af5a81a3f685eb37fec3864 RemoteSubdir: ArvindSt