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ArvindSt  

Five Novel Stochastic Regression Models with Arvind-Distributed Errors and Effects
View on CRAN: Click here


Download and install ArvindSt package within the R console
Install from CRAN:
install.packages("ArvindSt")

Install from Github:
library("remotes")
install_github("cran/ArvindSt")

Install by package version:
library("remotes")
install_version("ArvindSt", "1.1.0")



Attach the package and use:
library("ArvindSt")
Maintained by
Shikhar Tyagi
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2026-05-11
Latest Update: 2026-05-11
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), <https://ssca.org.in/journal.html>.
How to cite:
Shikhar Tyagi (2026). ArvindSt: Five Novel Stochastic Regression Models with Arvind-Distributed Errors and Effects. R package version 1.1.0, https://cran.r-project.org/web/packages/ArvindSt. Accessed 24 Oct. 2026.
Previous versions and publish date:
1.0.0 (2026-05-11 20:20), (2026-07-09 07:57)
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