{
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  "Package": "ArvindSt",
  "Title": "Five Novel Stochastic Regression Models with Arvind-Distributed\nErrors and Effects",
  "Version": "1.0.0",
  "Authors@R": "c(\nperson(\"Shikhar\", \"Tyagi\",\nemail = \"shikhar1093tyagi@gmail.com\",\nrole = c(\"aut\", \"cre\"),\ncomment = c(ORCID = \"0000-0003-1606-0844\")),\nperson(\"Arvind\", \"Pandey\",\nemail = \"arvindmzu@gmail.com\",\nrole = \"aut\")\n)",
  "Description": "Implements the 'Arvind' distribution and five novel\nstochastic regression models that replace the traditional\nGaussian error assumption with 'Arvind'-distributed errors. The\n'Arvind' distribution is a flexible single-parameter continuous\ndistribution on the positive real line characterised by a\npolynomial numerator with Gaussian-type decay. The package\nprovides complete distribution functions (darvind(), parvind(),\nqarvind(), rarvind()), maximum likelihood estimation via\nfit_arvind_mle(), and five model-fitting routines: Random Walk\non Coefficients via fit_rw1(), Time-Varying Coefficient Linear\nModel via fit_tvlm(), Simulation-Extrapolation via fit_simex(),\nMixed-Effects Regression via fit_mixed(), and Regime-Switching\nHidden Markov Model via fit_hmm(). Additionally provides Monte\nCarlo forecasting with prediction intervals via\nforecast_arvind(), comprehensive goodness-of-fit diagnostics\n(21 metrics and 25 plots) via diagnostics_arvind() and\nplot_arvind(), k-fold and rolling-window cross-validation via\ncv_arvind(), and unified model comparison via summary_arvind().\nFor more details see Pandey, Singh, Tyagi, and Tyagi (2024)\n\"Modelling climate, COVID-19, and reliability data: A new\ncontinuous lifetime model under different methods of\nestimation\", Statistics and Applications, 22(2),\n<https://ssca.org.in/journal.html>.",
  "License": "MIT + file LICENSE",
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    "Date": "2026-05-11 20:38:00 UTC",
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  "Author": "Shikhar Tyagi [aut, cre] (ORCID:\n<https://orcid.org/0000-0003-1606-0844>), Arvind Pandey [aut]",
  "Maintainer": "Shikhar Tyagi <shikhar1093tyagi@gmail.com>",
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  "_exports": [
    "arvind_mean_fn",
    "arvind_var_fn",
    "cv_arvind",
    "darvind",
    "diagnostics_arvind",
    "fit_arvind_mle",
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    "fit_mixed",
    "fit_rw1",
    "fit_simex",
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    "forecast_arvind",
    "parvind",
    "plot_arvind",
    "qarvind",
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    "simulate_arvind_data",
    "summary_arvind"
  ],
  "_help": [
    {
      "page": "arvind_mean_fn",
      "title": "Mean of the Arvind Distribution",
      "topics": [
        "arvind_mean_fn"
      ]
    },
    {
      "page": "arvind_var_fn",
      "title": "Variance of the Arvind Distribution",
      "topics": [
        "arvind_var_fn"
      ]
    },
    {
      "page": "cv_arvind",
      "title": "K-Fold and Rolling-Window Cross-Validation",
      "topics": [
        "cv_arvind"
      ]
    },
    {
      "page": "darvind",
      "title": "Arvind Distribution Density Function",
      "topics": [
        "darvind"
      ]
    },
    {
      "page": "diagnostics_arvind",
      "title": "Goodness-of-Fit Diagnostics for Arvind Models",
      "topics": [
        "diagnostics_arvind"
      ]
    },
    {
      "page": "fit_arvind_mle",
      "title": "Maximum Likelihood Estimation for the Arvind Distribution",
      "topics": [
        "fit_arvind_mle"
      ]
    },
    {
      "page": "fit_hmm",
      "title": "Fit Regime-Switching Regression (HMM)",
      "topics": [
        "fit_hmm"
      ]
    },
    {
      "page": "fit_mixed",
      "title": "Fit Mixed-Effects Regression with Arvind Errors",
      "topics": [
        "fit_mixed"
      ]
    },
    {
      "page": "fit_rw1",
      "title": "Fit Random Walk on Coefficients Model (RW1-approx)",
      "topics": [
        "fit_rw1"
      ]
    },
    {
      "page": "fit_simex",
      "title": "Fit Simulation-Extrapolation (SIMEX) Model",
      "topics": [
        "fit_simex"
      ]
    },
    {
      "page": "fit_tvlm",
      "title": "Fit Time-Varying Coefficient Linear Model (tvLM)",
      "topics": [
        "fit_tvlm"
      ]
    },
    {
      "page": "forecast_arvind",
      "title": "Monte Carlo Forecasting for Arvind Models",
      "topics": [
        "forecast_arvind"
      ]
    },
    {
      "page": "parvind",
      "title": "Arvind Distribution Function (CDF)",
      "topics": [
        "parvind"
      ]
    },
    {
      "page": "plot_arvind",
      "title": "Diagnostic Plots for Arvind Models",
      "topics": [
        "plot_arvind"
      ]
    },
    {
      "page": "qarvind",
      "title": "Arvind Distribution Quantile Function",
      "topics": [
        "qarvind"
      ]
    },
    {
      "page": "rarvind",
      "title": "Random Generation from the Arvind Distribution",
      "topics": [
        "rarvind"
      ]
    },
    {
      "page": "rarvind_centred",
      "title": "Centred Random Generation from the Arvind Distribution",
      "topics": [
        "rarvind_centred"
      ]
    },
    {
      "page": "simulate_arvind_data",
      "title": "Generate Simulated Data for Examples",
      "topics": [
        "simulate_arvind_data"
      ]
    },
    {
      "page": "summary_arvind",
      "title": "Summary and Comparison of Multiple Arvind Models",
      "topics": [
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      ]
    }
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