{ "_id": "6ae108a03d0f299392dce1d0", "Package": "FrailtyPackPlus", "Type": "Package", "Title": "Shared, Correlated, Additive, and Zero-Inflated Frailty Models", "Version": "0.1.0", "Authors@R": "c( person(\"Shikhar\", \"Tyagi\", email = \"shikhar1093tyagi@gmail.com\", role = c(\"aut\", \"cre\"), comment = c(ORCID = \"0000-0003-1606-0844\")))", "Description": "Fits and compares shared, correlated, additive,\nzero-inflated promotion cure-rate, and k-out-of-M one-shot\ndevice frailty survival models under Bayesian Markov chain\nMonte Carlo (MCMC) and Maximum Likelihood Estimation (MLE)\nframeworks. Supports ten baseline hazard distributions\n(Weibull, Exponential, Generalized Exponential, Exponential\nPower, Linear Failure Rate, Generalized Log-Logistic,\nGeneralized Weibull, Generalized Rayleigh, Weighted\nExponential, Extended Weibull) and eight frailty distributions\n(Gamma, Inverse Gaussian, Positive Stable, Compound Poisson,\nCompound Negative Binomial, Generalized Lindley, Weighted\nLindley, Mixture of Inverse Gaussians). Implements reversed\nhazard rate (RHR) models for bivariate left-censored survival\ndata, additive shared frailty models under random right\ncensoring, and one-shot device reliability analysis. Provides\ngoodness-of-fit testing, information criteria (AIC, BIC, AICc,\nHQIC, DIC, EAIC, EBIC, LPML), convergence diagnostics (Geweke,\nGelman-Rubin, Heidelberger-Welch), Bayes factors, residual\nanalyses, and diagnostic visualizations. Methodologies are\nbased on Hanagal and Dabade (2013)\n, Hanagal and Dabade (2013)\n, Hanagal and Dabade (2015)\n, Hanagal and Bhambure (2015)\n, Hanagal and Bhambure (2016)\n, Hanagal, Pandey, and\nGanguly (2017) , Hanagal and\nPandey (2018) , Hanagal\n(2020) , Tyagi et al. (2021)\n, Pandey, Hanagal, Tyagi, and\nGupta (2021) , Tyagi, Pandey,\nand Chesneau (2022) , Pandey,\nHanagal, and Tyagi (2022) ,\nTyagi, Pandey, and Chesneau (2022)\n, Tyagi, Pandey, Hanagal, and\nChesneau (2024) , Kiprotich\net al. (2025) , Assuncao et\nal. (2026) , Chen et al. (1999)\n, Dunn and Smyth (1996)\n, Ling et al. (2021)\n, Yu, So, and Balakrishnan (2025)\n, Balakrishnan, Ling,\nand So (2021, ISBN:978-1-119-77795-3), and McGilchrist and\nAisbett (1991) .", "License": "GPL (>= 3)", "Encoding": "UTF-8", "LazyData": "true", "ByteCompile": "true", "Config/testthat/edition": "3", "Language": "en-US", "RoxygenNote": "7.3.3", "NeedsCompilation": "no", "Packaged": { "Date": "2026-10-27 20:21:04 UTC", "User": "root" }, "Author": "Shikhar Tyagi [aut, cre] (ORCID:\n)", "Maintainer": "Shikhar Tyagi ", "Repository": "https://cran.r-universe.dev", "Date/Publication": "2026-10-27 14:30:02 UTC", "RemoteUrl": "https://github.com/cran/FrailtyPackPlus", "RemoteRef": "HEAD", "RemoteSha": "94638b8574366dcd081edc82029ef4d1457d8983", "_user": "cran", "_type": "src", "_file": "FrailtyPackPlus_0.1.0.tar.gz", "_fileid": "https://r2.ropensci.org/3edeea3538f90a82f7b74db4001174a8e83ba2896aaffef43209395cfd4f8cf1", "_filesize": 751653, "_sha256": "3edeea3538f90a82f7b74db4001174a8e83ba2896aaffef43209395cfd4f8cf1", "_expires": "2027-02-04T20:25:02.000Z", "_created": "2026-10-27T20:21:04.000Z", "_published": "2026-10-27T20:25:04.468Z", "_upstream": "https://github.com/cran/FrailtyPackPlus", "_status": "success", "_maintainer": { "name": "Shikhar Tyagi", "email": "shikhar1093tyagi@gmail.com", "login": "shikhartyagi", "description": "Lecturer, Department of Mathematics and Statistics, The University of the West Indies, Trinidad and Tobago. ", "uuid": 38758495, "orcid": "0000-0003-1606-0844" }, "_jobs": [ { "job": 122447171331, "time": 178, "config": "linux-devel-x86_64", "r": "4.7.0", "check": "OK", "artifact": "12768021835" }, { "job": 122447171230, "time": 186, "config": "linux-release-x86_64", "r": "4.6.1", "check": "OK", "artifact": "12768800562" }, { "job": 122445300512, "time": 209, "config": "source", "r": "4.6.1", "check": "OK", "artifact": "12765989681" }, { "job": 122447171310, "time": 98, "config": "wasm-release", "r": "4.6.0", "check": "OK", "artifact": "12767658286" }, { "job": 122447171450, "time": 178, "config": "windows-devel-x86_64", "r": "4.7.0", "check": "OK", "artifact": "12767912054" }, { "job": 122447171242, "time": 158, "config": "windows-release-x86_64", "r": "4.6.1", "check": "OK", "artifact": "12768146607" } ], "_buildurl": "https://github.com/r-universe/cran/actions/runs/40576724934", "_commit": { "id": "94638b8574366dcd081edc82029ef4d1457d8983", "author": "Shikhar Tyagi ", "committer": "cran-robot ", "message": "version 0.1.0\n", "time": 1793111402 }, "_distro": "resolute", "_host": "GitHub-Actions", "_registered": true, "_dependencies": [ { "package": "R", "version": ">= 4.0.0", "role": "Depends" }, { "package": "graphics", "role": "Imports" }, { "package": "grDevices", "role": "Imports" }, { "package": "MASS", "role": "Imports" }, { "package": "methods", "role": "Imports" }, { "package": "numDeriv", "role": "Imports" }, { "package": "stats", "role": "Imports" }, { "package": "survival", "role": "Imports" }, { "package": "utils", "role": "Imports" }, { "package": "testthat", "version": ">= 3.0.0", "role": "Suggests" } ], "_owner": "cran", "_selfowned": false, "_usedby": 0, "_updates": [ { "week": "2026-44", "n": 1 } ], "_tags": [ { "name": "0.1.0", "date": "2026-10-27" } ], "_stars": 0, "_contributors": [ { "user": "shikhartyagi", "count": 1, "uuid": 38758495 } ], "_userbio": { "uuid": 6899542, "type": "organization", "name": "cran", "followers": 634, "description": 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"d_rhr_baseline", "d_wlindley", "d2laplace_frailty", "dens_proper", "diagnostics_mcmc", "dic", "dlaplace_frailty", "eaic", "ebic", "em_oneshot_frailty", "em_oneshot_kofm", "eval_baseline", "eval_laplace", "evaluate_ziprom", "fb_calc_geweke", "fb_sim_frailty", "fisher_info_oneshot", "fit_add_frailty_bayes", "fit_add_frailty_mle", "fit_rhr_frailty_bayes", "fit_rhr_frailty_mle", "forecast_ziprom", "frailty_bayes", "frailty_compare", "frailty_fit", "frailty_mle", "frailty_variance", "generate_powerset", "h_gll2", "h_gw", "hpd_interval", "kendall_tau", "kendall_tau_rhr", "laplace_deriv1_gamma", "laplace_deriv1_genlindley", "laplace_deriv1_invgaussian", "laplace_deriv1_wlindley", "laplace_deriv2_gamma", "laplace_deriv2_genlindley", "laplace_deriv2_invgaussian", "laplace_deriv2_wlindley", "laplace_frailty", "laplace_gamma", "laplace_genlindley", "laplace_invgaussian", "laplace_wlindley", "loglik_add_frailty", "loglik_biv_rhr", "loglik_frailty", "loglik_oneshot", "lpml", "mttf_k_out_of_m", "oneshot_frailty", "oneshot_kofm", "p_rhr_baseline", "plot_activation_compare", "plot_forecast", "plot_quantile_residuals", "plot_survival_fit", "q_rhr_baseline", "quantile_proper", "r_frailty", "reliability_k_out_of_m", "rhr_baseline", "rzicr_promotion", "s_gll2", "s_gw", "sim_add_frailty", "sim_biv_rhr_frailty", "sim_copula", "sim_corrFrailty", "sim_frailty", "sim_oneshot", "sim_oneshot_frailty", "sim_oneshot_frailty_lifetimes", "sim_ziprom", "Surv", "surv_proper", "test_baseline", "test_independence", "var_frailty", "var_gamma", "var_genlindley", "var_invgaussian", "var_wlindley", "ziprom_core_dens", "ziprom_core_surv", "ziprom_fit", "ziprom_loglik", "ziprom_residuals" ], "_datasets": [ { "name": "austrian_twin", "title": "Dataset documentation for Frailty package Australian Twin Appendectomy Data", "object": "austrian_twin", "class": [ "data.frame" ], "fields": [ "t1", "t2", "d1", "d2", "age", "k2", "k3" ], "rows": 350, "table": true, "tojson": true }, { "name": "classH", "title": "Modified Class-H Failure Modes Data", "object": "classH", "class": [ "data.frame" ], "fields": [ "group", "stress", "time", "n_none", "n_T", "n_G", "n_both" ], "rows": 8, "table": true, "tojson": true }, { "name": "insulin_gdm", "title": "Time to Insulin Initiation in Gestational Diabetes Mellitus Dataset", "object": "insulin_gdm", "class": [ "data.frame" ], "fields": [ "time", "status", "family_diabetes", "prior_gdm", "smoking", "prior_macrosomia", "hypertension", "bmi_cat" ], "rows": 390, "table": true, "tojson": true }, { "name": "kidney_bivariate", "title": "Kidney Infection Recurrence Bivariate Survival Data", "object": "kidney_bivariate", "class": [ "data.frame" ], "fields": [ "id", "t1", "delta1", "t2", "delta2", "age", "sex", "gn", "an", "pkd" ], "rows": 38, "table": true, "tojson": true }, { "name": "kidney_frailty", "title": "Kidney Infection Recurrence Data", "object": "kidney_frailty", "class": [ "data.frame" ], "fields": [ "id", "time1", "time2", "status1", "status2", "age", "sex", "disease" ], "rows": 38, "table": true, "tojson": true }, { "name": "kidney_infection", "title": "Kidney Infection Bivariate Survival Dataset", "object": "kidney_infection", "class": [ "data.frame" ], "fields": [ "id", "t1", "d1", "t2", "d2", "age", "sex", "GN", "AN", "PKD" ], "rows": 38, "table": true, "tojson": true }, { "name": "mice_tumor", "title": "ED01 Mice Tumor Toxicological Data", "object": "mice_tumor", "class": [ "data.frame" ], "fields": [ "group", "dose", "time", "n_none", "n_T", "n_D", "n_both" ], "rows": 6, "table": true, "tojson": true }, { "name": "retinopathy_frailty", "title": "Diabetic Retinopathy Study Paired Eye Data", "object": "retinopathy_frailty", "class": [ "data.frame" ], "fields": [ "id", "time1", "time2", "status1", "status2", "laser", "age", "risk", "trt" ], "rows": 197, "table": true, "tojson": true }, { "name": "sim_data4", "title": "Simulated One-Shot Device Test Data with 4 Failure Modes", "object": "sim_data4", "class": [ "data.frame" ], "fields": [ "group", "stress", "time", "n_none", "n_1", "n_2", "n_3", "n_4", "n_12", "n_13", "n_14", "n_23", "n_24", "n_34", "n_123", "n_124", "n_134", "n_234", "n_all" ], "rows": 6, "table": true, "tojson": true } ], "_help": [ { "page": "austrian_twin", "title": "Dataset documentation for Frailty package Australian Twin Appendectomy Data", "topics": [ "austrian_twin" ] }, { "page": "base_cumhaz", "title": "Cumulative Baseline Hazard Function", "topics": [ "base_cumhaz" ] }, { "page": "base_haz", "title": "Baseline Hazard Function", "topics": [ "base_haz" ] }, { "page": "bayes_factor", "title": "Bayes Factor Comparison Between Two Models", "topics": [ "bayes_factor" ] }, { "page": "bayes_factor_rhr", "title": "Bayes Factor Calculation for Model Comparison", "topics": [ "bayes_factor_rhr" ] }, { "page": "calc_loss_estimates", "title": "Bayesian Point Estimation and Posterior Risks under Multiple Loss Functions", "topics": [ "calc_loss_estimates" ] }, { "page": "classH", "title": "Modified Class-H Failure Modes Data", "topics": [ "classH" ] }, { "page": "coef.oneshot_kofm", "title": "Extract Model Coefficients", "topics": [ "coef.oneshot_kofm" ] }, { "page": "compare_rhr_models", "title": "Compare Competing Shared RHR Frailty Models", "topics": [ "compare_rhr_models" ] }, { "page": "component_moments", "title": "Expected Component Lifetimes and Moments", "topics": [ "component_moments" ] }, { "page": "component_moments.oneshot_frailty", "title": "Marginal Moments for Components under Shared Gamma Frailty", "topics": [ "component_moments.oneshot_frailty" ] }, { "page": "component_moments.oneshot_kofm", "title": "Marginal Component Moments", "topics": [ "component_moments.oneshot_kofm" ] }, { "page": "compute_mcmc_diagnostics", "title": "Convergence and Summary Diagnostics for MCMC Chains", "topics": [ "compute_mcmc_diagnostics" ] }, { "page": "compute_p0_p1", "title": "Compute Multinomial Logit Probabilities for Zero-Inflation and Cure Fraction", "topics": [ "compute_p0_p1" ] }, { "page": "compute_probabilities", "title": "Joint Survival and Subset Malfunction Probabilities", "topics": [ "compute_probabilities" ] }, { "page": "cond_prob_rhr", "title": "Conditional Probability Measure under Reversed Hazard Rate", "topics": [ "cond_prob_rhr" ] }, { "page": "confint.oneshot_kofm", "title": "Confidence Intervals for Model Parameters", "topics": [ "confint.oneshot_kofm" ] }, { "page": "corrFrailty", "title": "Fit Correlated Frailty Models for Bivariate Survival Data", "topics": [ "corrFrailty" ] }, { "page": "corrFrailty.control", "title": "Control Parameters for corrFrailty Estimation", "topics": [ "corrFrailty.control" ] }, { "page": "cpo", "title": "Conditional Predictive Ordinate (CPO) and Log Pseudo Marginal Likelihood (LPML)", "topics": [ "cpo" ] }, { "page": "crhr_baseline", "title": "Baseline Cumulative Reversed Hazard Rate Function", "topics": [ "crhr_baseline" ] }, { "page": "criteria", "title": "Model Selection Criteria and Bayes Factor Comparisons", "topics": [ "calc_bayes_factor", "calc_model_criteria", "criteria" ] }, { "page": "cross_ratio_rhr", "title": "Clayton-Oakes Cross-Ratio Function under Reversed Hazard Rate", "topics": [ "cross_ratio_rhr" ] }, { "page": "d_rhr_baseline", "title": "Baseline Probability Density Function under Reversed Hazard Rate", "topics": [ "d_rhr_baseline" ] }, { "page": "d2laplace_frailty", "title": "Second Derivative of Laplace Transform of Frailty Distributions", "topics": [ "d2laplace_frailty" ] }, { "page": "dens_proper", "title": "Proper Conditional Density Function for Susceptible Group", "topics": [ "dens_proper" ] }, { "page": "dependence", "title": "Dependence Measures and Theoretical Frailty Variance", "topics": [ "dependence", "frailty_variance", "kendall_tau" ] }, { "page": "diagnostics_mcmc", "title": "MCMC Convergence Diagnostics", "topics": [ "diagnostics_mcmc" ] }, { "page": "dic", "title": "Deviance Information Criterion (DIC)", "topics": [ "dic" ] }, { "page": "dlaplace_frailty", "title": "First Derivative of Laplace Transform of Frailty Distributions", "topics": [ "dlaplace_frailty" ] }, { "page": "eaic", "title": "Expected Akaike Information Criterion (EAIC)", "topics": [ "eaic" ] }, { "page": "ebic", "title": "Expected Bayesian Information Criterion (EBIC)", "topics": [ "ebic" ] }, { "page": "em_oneshot_frailty", "title": "Expectation-Maximization Algorithm for One-Shot Device Testing Data", "topics": [ "em_oneshot_frailty" ] }, { "page": "em_oneshot_kofm", "title": "Expectation-Maximization Algorithm for One-Shot Devices", "topics": [ "em_oneshot_kofm" ] }, { "page": "evaluate_ziprom", "title": "Evaluation Metrics and Residual Diagnostics for Zero-Inflated Promotion Models", "topics": [ "evaluate_ziprom", "ziprom_residuals" ] }, { "page": "fb_sim_frailty", "title": "Simulate Survival Data with Shared or Univariate Frailty", "topics": [ "fb_sim_frailty" ] }, { "page": "fisher_info_oneshot", "title": "Observed Fisher Information Matrix for One-Shot Devices", "topics": [ "fisher_info_oneshot" ] }, { "page": "fit_add_frailty_bayes", "title": "Bayesian Estimation for Additive Shared Frailty Models via MCMC", "topics": [ "fit_add_frailty_bayes" ] }, { "page": "fit_add_frailty_mle", "title": "Maximum Likelihood Estimation for Additive Shared Frailty Models", "topics": [ "fit_add_frailty_mle" ] }, { "page": "fit_rhr_frailty_bayes", "title": "Bayesian Estimation of Shared Frailty Models under Reversed Hazard Rate", "topics": [ "fit_rhr_frailty_bayes" ] }, { "page": "fit_rhr_frailty_mle", "title": "Maximum Likelihood Estimation for Shared RHR Frailty Models", "topics": [ "fit_rhr_frailty_mle" ] }, { "page": "fitted.oneshot_kofm", "title": "Extract Fitted Values", "topics": [ "fitted.oneshot_kofm" ] }, { "page": "forecast_ziprom", "title": "Multi-Level Significance Survival Forecasting", "topics": [ "forecast_ziprom" ] }, { "page": "frailty_bayes", "title": "Bayesian Estimation of Shared, Additive, and Multiplicative Frailty Models", "topics": [ "frailty_bayes" ] }, { "page": "frailty_compare", "title": "Model Comparison Table for Frailty Models", "topics": [ "frailty_compare" ] }, { "page": "frailty_fit", "title": "Unified Formula Interface for Frailty Models", "topics": [ "frailty_fit" ] }, { "page": "frailty_mle", "title": "Maximum Likelihood Estimation of Shared Frailty Models", "topics": [ "frailty_mle" ] }, { "page": "generate_powerset", "title": "Generate Power Set of Components", "topics": [ "generate_powerset" ] }, { "page": "hpd_interval", "title": "Highest Posterior Density (HPD) Credible Interval", "topics": [ "hpd_interval" ] }, { "page": "insulin_gdm", "title": "Time to Insulin Initiation in Gestational Diabetes Mellitus Dataset", "topics": [ "insulin_gdm" ] }, { "page": "kendall_tau_rhr", "title": "Kendall's Tau Measure of Dependence", "topics": [ "kendall_tau_rhr" ] }, { "page": "kidney_bivariate", "title": "Kidney Infection Recurrence Bivariate Survival Data", "topics": [ "kidney_bivariate" ] }, { "page": "kidney_frailty", "title": "Kidney Infection Recurrence Data", "topics": [ "kidney_frailty" ] }, { "page": "kidney_infection", "title": "Kidney Infection Bivariate Survival Dataset", "topics": [ "kidney_infection" ] }, { "page": "laplace_frailty", "title": "Laplace Transform of Frailty Distributions", "topics": [ "laplace_frailty" ] }, { "page": "loglik_add_frailty", "title": "Bivariate Survival Log-Likelihood for Additive Shared Frailty Models", "topics": [ "loglik_add_frailty" ] }, { "page": "loglik_biv_rhr", "title": "Bivariate Left-Censored Log-Likelihood under Reversed Hazard Rate", "topics": [ "loglik_biv_rhr" ] }, { "page": "loglik_oneshot", "title": "Log-Likelihood Function for One-Shot Devices", "topics": [ "loglik_oneshot" ] }, { "page": "logLik.frailty_bayes", "title": "Model Extraction Methods", "topics": [ "logLik.frailty_bayes" ] }, { "page": "logLik.oneshot_kofm", "title": "Extract Model Log-Likelihood", "topics": [ "logLik.oneshot_kofm" ] }, { "page": "lpml", "title": "Log Pseudo Marginal Likelihood (LPML)", "topics": [ "lpml" ] }, { "page": "mice_tumor", "title": "ED01 Mice Tumor Toxicological Data", "topics": [ "mice_tumor" ] }, { "page": "mttf_k_out_of_m", "title": "Mean Time to Failure (MTTF) for k-out-of-M Systems", "topics": [ "mttf_k_out_of_m" ] }, { "page": "mttf_k_out_of_m.oneshot_frailty", "title": "Mean Time to Failure (MTTF) for k-out-of-M Systems", "topics": [ "mttf_k_out_of_m.oneshot_frailty" ] }, { "page": "mttf_k_out_of_m.oneshot_kofm", "title": "Mean Lifetime and Confidence Intervals for k-Out-of-M Systems", "topics": [ "mttf_k_out_of_m.oneshot_kofm" ] }, { "page": "oneshot_frailty", "title": "Fit Shared Gamma Frailty Model for One-Shot Device Testing Data", "topics": [ "oneshot_frailty" ] }, { "page": "oneshot_kofm", "title": "Fit Shared Gamma Frailty Model for k-Out-of-M One-Shot Devices", "topics": [ "oneshot_kofm" ] }, { "page": "p_rhr_baseline", "title": "Baseline Cumulative Distribution Function under Reversed Hazard Rate", "topics": [ "p_rhr_baseline" ] }, { "page": "plot_activation_compare", "title": "Compare Survival Curves Across Activation Schemes", "topics": [ "plot_activation_compare" ] }, { "page": "plot.add_frailty", "title": "Diagnostic and Visualization Plots for Additive Shared Frailty Models", "topics": [ "plot.add_frailty" ] }, { "page": "plot.frailty_bayes", "title": "S3 Plot Method for Bayesian Frailty Models", "topics": [ "plot.frailty_bayes" ] }, { "page": "plot.oneshot_frailty", "title": "Diagnostic and Reliability Plots for One-Shot Device Testing", "topics": [ "plot.oneshot_frailty" ] }, { "page": "plot.oneshot_kofm", "title": "Diagnostic and Visual Plots for One-Shot Frailty Models", "topics": [ "plot.oneshot_kofm" ] }, { "page": "plot.rhr_bayes_fit", "title": "Plot Diagnostics for Bayesian Shared RHR Frailty Model", "topics": [ "plot.rhr_bayes_fit" ] }, { "page": "plot.rhr_mle_fit", "title": "Plot Diagnostics for Maximum Likelihood Shared RHR Frailty Model", "topics": [ "plot.rhr_mle_fit" ] }, { "page": "plot.ziprom_fit", "title": "Plot Diagnostics and Survival Curves for ziprom_fit Objects", "topics": [ "plot.ziprom_fit", "plot_forecast", "plot_quantile_residuals", "plot_survival_fit" ] }, { "page": "predict.frailty_bayes", "title": "Predict Method for Frailty Models", "topics": [ "predict.frailty_bayes" ] }, { "page": "predict.oneshot_kofm", "title": "Predict System Reliability or Hazard Rates", "topics": [ "predict.oneshot_kofm" ] }, { "page": "predict.ziprom_fit", "title": "Prediction and Multi-Level Significance Forecasting for ziprom_fit Models", "topics": [ "predict.ziprom_fit" ] }, { "page": "print.frailty_bayes", "title": "Print Methods for Frailty Models", "topics": [ "print.frailty_bayes" ] }, { "page": "print.oneshot_kofm", "title": "Print Method for One-Shot Frailty Model Fits", "topics": [ "print.oneshot_kofm" ] }, { "page": "print.summary.oneshot_kofm", "title": "Print Summary for One-Shot Frailty Model Fits", "topics": [ "print.summary.oneshot_kofm" ] }, { "page": "print.ziprom_fit", "title": "Methods for ziprom_fit Objects", "topics": [ "AIC.ziprom_fit", "BIC.ziprom_fit", "coef.ziprom_fit", "confint.ziprom_fit", "logLik.ziprom_fit", "print.summary.ziprom_fit", "print.ziprom_fit", "residuals.ziprom_fit", "summary.ziprom_fit", "vcov.ziprom_fit" ] }, { "page": "q_rhr_baseline", "title": "Baseline Quantile Function under Reversed Hazard Rate", "topics": [ "q_rhr_baseline" ] }, { "page": "quantile_proper", "title": "Quantile Function for Susceptible Group", "topics": [ "quantile_proper" ] }, { "page": "reliability_k_out_of_m", "title": "Reliability Evaluation for k-out-of-M Systems", "topics": [ "reliability_k_out_of_m" ] }, { "page": "reliability_k_out_of_m.oneshot_frailty", "title": "System Reliability for k-out-of-M Systems under Gamma Frailty", "topics": [ "reliability_k_out_of_m.oneshot_frailty" ] }, { "page": "reliability_k_out_of_m.oneshot_kofm", "title": "Reliability Evaluation for k-Out-of-M Systems", "topics": [ "reliability_k_out_of_m.oneshot_kofm" ] }, { "page": "residuals.frailty_bayes", "title": "Residuals for Frailty Models", "topics": [ "residuals.frailty_bayes" ] }, { "page": "residuals.oneshot_kofm", "title": "Extract Pearson Residuals", "topics": [ "residuals.oneshot_kofm" ] }, { "page": "retinopathy_frailty", "title": "Diabetic Retinopathy Study Paired Eye Data", "topics": [ "retinopathy_frailty" ] }, { "page": "rhr_baseline", "title": "Baseline Reversed Hazard Rate Function", "topics": [ "rhr_baseline" ] }, { "page": "rzicr_promotion", "title": "Random Sample Generator for Zero-Inflated Promotion Models", "topics": [ "rzicr_promotion" ] }, { "page": "sim_add_frailty", "title": "Simulate Bivariate Survival Data under Additive Shared Frailty Models", "topics": [ "sim_add_frailty" ] }, { "page": "sim_biv_rhr_frailty", "title": "Simulate Bivariate Left-Censored Survival Data under Shared RHR Frailty", "topics": [ "sim_biv_rhr_frailty" ] }, { "page": "sim_copula", "title": "Simulate Dependent Component Lifetimes via Clayton Copula", "topics": [ "sim_copula" ] }, { "page": "sim_corrFrailty", "title": "Simulate Bivariate Survival Data with Correlated Frailty", "topics": [ "sim_corrFrailty" ] }, { "page": "sim_data4", "title": "Simulated One-Shot Device Test Data with 4 Failure Modes", "topics": [ "sim_data4" ] }, { "page": "sim_frailty", "title": "Simulate Frailty Survival Data or One-Shot Device Lifetimes", "topics": [ "sim_frailty" ] }, { "page": "sim_oneshot", "title": "Simulate One-Shot Device Testing Datasets", "topics": [ "sim_oneshot" ] }, { "page": "sim_oneshot_frailty", "title": "Simulate One-Shot Device Lifetimes under Shared Gamma Frailty", "topics": [ "sim_oneshot_frailty" ] }, { "page": "sim_oneshot_frailty_lifetimes", "title": "Simulate Dependent Component Lifetimes via Gamma Frailty", "topics": [ "sim_oneshot_frailty_lifetimes" ] }, { "page": "sim_ziprom", "title": "Simulate Data from Zero-Inflated Promotion Cure-Rate Models", "topics": [ "sim_ziprom" ] }, { "page": "summary.frailty_bayes", "title": "Summary Method for Bayesian Frailty Models", "topics": [ "summary.frailty_bayes" ] }, { "page": "summary.frailty_mle", "title": "Summary Method for MLE Frailty Models", "topics": [ "summary.frailty_mle" ] }, { "page": "summary.oneshot_kofm", "title": "Summary Method for One-Shot Frailty Model Fits", "topics": [ "summary.oneshot_kofm" ] }, { "page": "surv_proper", "title": "Proper Conditional Survival Function for Susceptible Group", "topics": [ "surv_proper" ] }, { "page": "test_baseline", "title": "Likelihood Ratio Test for Baseline Lifetime Distribution", "topics": [ "test_baseline" ] }, { "page": "test_independence", "title": "Likelihood Ratio Test for Component Independence", "topics": [ "test_independence" ] }, { "page": "var_frailty", "title": "Variance of Frailty Distribution", "topics": [ "var_frailty" ] }, { "page": "vcov.oneshot_kofm", "title": "Extract Variance-Covariance Matrix", "topics": [ 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