{ "_id": "6a520b619b92047c28d543c3", "Package": "BSCB", "Title": "Bayesian Simultaneous Credible Bands for Polynomial Regression", "Version": "1.0.0", "Authors@R": "person(\"Fei\", \"Yang\", email = \"fei.yang@manchester.ac.uk\",\nrole = c(\"aut\", \"cre\"),\ncomment = c(ORCID = \"0000-0002-3253-976X\"))", "Description": "Provides functions to construct two-sided Bayesian\nsimultaneous credible bands (BSCBs) for the regression curve in\nunivariate polynomial regression over a finite covariate\ninterval. Six methods are implemented, including Normal-Gamma\nconjugate priors (with empirical Bayes, unit-information, and\ng-prior hyperparameter specifications), non-conjugate priors\nfitted via Hamiltonian Monte Carlo (HMC) using 'cmdstanr', and\na non-informative independent Jeffreys prior approach. Also\nincludes functions for computing the empirical simultaneous\ncoverage rate (ESCR) and posterior simultaneous coverage\nprobability (PSCP), enabling performance comparison across\nmethods. The methodology is described in: Yang, F., Han, Y.,\nLiu, W., & Hall, I. (2026). \"Bayesian simultaneous credible\nbands for polynomial regression\"\n.", "License": "MIT + file LICENSE", "Encoding": "UTF-8", "Roxygen": "list(markdown = TRUE)", "RoxygenNote": "7.3.3", "VignetteBuilder": "knitr", "Additional_repositories": "https://stan-dev.r-universe.dev", "Config/testthat/edition": "3", "Date": "2026-07-02", "URL": "https://github.com/fannyyang73/BSCB", "Config/instantiate/stan-dir": "src/stan", "BugReports": "https://github.com/fannyyang73/BSCB/issues", "Repository": "https://fannyyang73.r-universe.dev", "Date/Publication": "2026-07-11 09:12:09 UTC", "RemoteUrl": "https://github.com/fannyyang73/bscb", "RemoteRef": "HEAD", "RemoteSha": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "NeedsCompilation": "yes", "Packaged": { "Date": "2026-07-11 09:16:38 UTC", "User": "root" }, "Author": "Fei Yang [aut, cre] (ORCID: )", "Maintainer": "Fei Yang ", "_user": "fannyyang73", "_type": "src", "_file": "BSCB_1.0.0.tar.gz", "_fileid": "https://r2.ropensci.org/04c0850bba48ead1a3df9671f3e4f5d8c547fe11636b8ac0165828dd79eaebaa", "_filesize": 638089, "_sha256": "04c0850bba48ead1a3df9671f3e4f5d8c547fe11636b8ac0165828dd79eaebaa", "_expires": "2026-10-19T09:22:39.000Z", "_created": "2026-07-11T09:16:38.000Z", "_published": "2026-07-11T09:22:41.566Z", "_jobs": [ { "job": 86531379900, "time": 246, "config": "linux-devel-arm64", "r": "4.7.0", "check": "OK", "artifact": "8247209484" }, { "job": 86531379888, "time": 238, "config": "linux-devel-x86_64", "r": "4.7.0", "check": "OK", "artifact": "8247208081" }, { "job": 86531379894, "time": 241, "config": "linux-release-arm64", "r": "4.6.1", "check": "OK", "artifact": "8247208647" }, { "job": 86531379898, "time": 229, "config": "linux-release-x86_64", "r": "4.6.1", "check": "OK", "artifact": "8247206880" }, { "job": 86531379889, "time": 206, "config": "macos-oldrel-arm64", "r": "4.5.3", "check": "OK", "artifact": "8247204196" }, { "job": 86531379891, "time": 273, "config": "macos-oldrel-x86_64", "r": "4.5.3", "check": "OK", "artifact": "8247212767" }, { "job": 86531379901, "time": 174, "config": "macos-release-arm64", "r": "4.6.1", "check": "OK", "artifact": "8247200360" }, { "job": 86531379904, "time": 306, "config": "macos-release-x86_64", "r": "4.6.1", "check": "OK", "artifact": "8247218163" }, { "job": 86531090207, "time": 252, "config": "source", "r": "4.6.1", "check": "OK", "artifact": "8247177942" }, { "job": 86531379895, "time": 169, "config": "wasm-release", "r": "4.6.0", "check": "OK", "artifact": "8247198970" }, { "job": 86531379910, "time": 210, "config": "windows-devel", "r": "4.7.0", "check": "OK", "artifact": "8247204517" }, { "job": 86531379914, "time": 213, "config": "windows-oldrel", "r": "4.5.3", "check": "OK", "artifact": "8247205091" }, { "job": 86531379908, "time": 182, "config": "windows-release", "r": "4.6.1", "check": "OK", "artifact": "8247200783" } ], "_host": "GitHub-Actions", "_buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863", "_status": "success", "_upstream": "https://github.com/fannyyang73/bscb", "_commit": { "id": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "author": "fannyyang73 <969351794@qq.com>", "committer": "fannyyang73 <969351794@qq.com>", "message": "update CRAN\n", "time": 1783761129 }, "_maintainer": { "name": "Fei Yang", "email": "fei.yang@manchester.ac.uk", "orcid": "0000-0002-3253-976X" }, "_distro": "resolute", "_registered": true, "_dependencies": [ { "package": "R", "version": ">= 4.0", "role": "Depends" }, { "package": "mvtnorm", "role": "Imports" }, { "package": "MASS", "role": "Imports" }, { "package": "OptimalDesign", "role": "Imports" }, { "package": "instantiate", "role": "Imports" }, { "package": "posterior", "role": "Imports" }, { "package": "DEoptim", "role": "Suggests" }, { "package": "testthat", "version": ">= 3.0.0", "role": "Suggests" }, { "package": "cmdstanr", "role": "Suggests" }, { "package": "knitr", "role": "Suggests" }, { "package": "rmarkdown", "role": "Suggests" }, { "package": "ggplot2", "role": "Suggests" } ], "_owner": "fannyyang73", "_selfowned": true, "_usedby": 0, "_updates": [ { "week": "2026-07", "n": 6 }, { "week": "2026-12", "n": 2 }, { "week": "2026-15", "n": 12 }, { "week": "2026-16", "n": 7 }, { "week": "2026-17", "n": 1 }, { "week": "2026-19", "n": 1 }, { "week": "2026-23", "n": 1 }, { "week": "2026-27", "n": 4 }, { "week": "2026-28", "n": 2 } ], "_tags": [], "_stars": 0, "_contributors": [ { "user": "fannyyang73", "count": 36, "uuid": 55868628 } ], "_userbio": { "uuid": 55868628, "type": "user", "name": "Fei Yang", "followers": 0, "description": "Ph.D. student in statistics at the University of Manchester. My research interests include simultaneous inference and high-dimensional statistics." }, "_downloads": { "count": 0, "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/BSCB" }, "_devurl": "https://github.com/fannyyang73/bscb", "_searchresults": 5, "_rbuild": "4.6.1", "_assets": [ "extra/BSCB.html", "extra/citation.cff", "extra/citation.html", "extra/citation.json", "extra/citation.txt", "extra/contents.json", "extra/NEWS.html", "extra/NEWS.txt", "extra/readme.html", "extra/readme.md", "LICENSE", "manual.pdf" ], "_homeurl": "https://github.com/fannyyang73/bscb", "_realowner": "fannyyang73", "_cranurl": true, "_releases": [ { "version": "1.0.0", "date": "2026-07-10" } ], "_exports": [ "compute_bpcb_ind_jeffreys", "compute_bscb_conjugate", "compute_bscb_hmc", "compute_bscb_ind_jeffreys", "coverage_ESCR", "coverage_PSCP", "create_order_form", "f_L_SCB", "f_U_SCB", "find_global_maximum", "find_global_maximum_h_all", "fn_Bayes_ECR", "fn_Bayes_PCP", "fn_Freq_ECR", "fn_neg_Bayes_ECR", "fn_neg_Bayes_PCP", "generate_simulation_data", "L_SCB", "sup_T_Bayes_ESCR", "sup_T_Bayes_PSCP", "sup_T_Freq_ESCR", "sup_T_simFSCB", "U_SCB" ], "_help": [ { "page": "compute_bpcb_ind_jeffreys", "title": "BPCB-I-J: the Bayesian pointwise credible band using the independent Jeffreys prior", "topics": [ "compute_bpcb_ind_jeffreys" ] }, { "page": "compute_bscb_conjugate", "title": "BSCB-C: Bayesian Simultaneous Credible Band under the Normal-Gamma Conjugate Prior", "topics": [ "compute_bscb_conjugate" ] }, { "page": "compute_bscb_hmc", "title": "Compute BSCB via Hamiltonian Monte Carlo", "topics": [ "compute_bscb_hmc" ] }, { "page": "compute_bscb_ind_jeffreys", "title": "BSCB-J: Bayesian Simultaneous Credible Band under the Independent Jeffreys Prior", "topics": [ "compute_bscb_ind_jeffreys" ] }, { "page": "coverage_ESCR", "title": "Compute the coverage of BSCB", "topics": [ "coverage_ESCR" ] }, { "page": "coverage_PSCP", "title": "Compute the Posterior Simultaneous Coverage Probability (PSCP)", "topics": [ "coverage_PSCP" ] }, { "page": "create_order_form", "title": "Create a polynomial basis vector function", "topics": [ "create_order_form" ] }, { "page": "f_L_SCB", "title": "Vertical distance from true curve to lower band boundary", "topics": [ "f_L_SCB" ] }, { "page": "f_U_SCB", "title": "Vertical distance from true curve to upper band boundary", "topics": [ "f_U_SCB" ] }, { "page": "find_global_maximum", "title": "Find the global maximum of T(x) via grid search and local optimisation", "topics": [ "find_global_maximum" ] }, { "page": "find_global_maximum_h_all", "title": "Find the global maximum of T(x) analytically via polyroot (Liu's method)", "topics": [ "find_global_maximum_h_all" ] }, { "page": "fn_Bayes_ECR", "title": "T(x) for computing ESCR: uses true parameter theta_true", "topics": [ "fn_Bayes_ECR" ] }, { "page": "fn_Bayes_PCP", "title": "T(x) for computing lambda (PSCP): uses posterior draw theta_hat", "topics": [ "fn_Bayes_PCP" ] }, { "page": "fn_Freq_ECR", "title": "T(x) to compute ESCR for frequentist methods", "topics": [ "fn_Freq_ECR" ] }, { "page": "fn_neg_Bayes_ECR", "title": "T(x) for computing ESCR for DEoptim: uses true parameter theta_true", "topics": [ "fn_neg_Bayes_ECR" ] }, { "page": "fn_neg_Bayes_PCP", "title": "Negative T(x) for minimisation-based optimisers (e.g. DEoptim)", "topics": [ "fn_neg_Bayes_PCP" ] }, { "page": "generate_simulation_data", "title": "Generate simulation datasets for polynomial regression", "topics": [ "generate_simulation_data" ] }, { "page": "L_SCB", "title": "Evaluate lower band at x", "topics": [ "L_SCB" ] }, { "page": "sup_T_Bayes_ESCR", "title": "To compute ESCR for BSCB and BPCB For BSCB use 'cov_mat = cov_theta'; for BPCB use 'cov_mat = scale_mat'.", "topics": [ "sup_T_Bayes_ESCR" ] }, { "page": "sup_T_Bayes_PSCP", "title": "To compute the critical constant for BSCB and BPCB; To compute PSCP for BSCB and BPCB", "topics": [ "sup_T_Bayes_PSCP" ] }, { "page": "sup_T_Freq_ESCR", "title": "To compute the ESCR for FSCB and FPCB", "topics": [ "sup_T_Freq_ESCR" ] }, { "page": "sup_T_simFSCB", "title": "To compute the critical constant for simFSCB", "topics": [ "sup_T_simFSCB" ] }, { "page": "U_SCB", "title": "Evaluate upper band at x", "topics": [ "U_SCB" ] } ], "_readme": "https://github.com/fannyyang73/bscb/raw/HEAD/README.md", "_rundeps": [ "abind", "backports", "base64enc", "bslib", "cachem", "callr", "checkmate", "cli", "digest", "distributional", "evaluate", "fastmap", "fontawesome", "fs", "generics", "glue", "highr", "htmltools", "htmlwidgets", "instantiate", "jquerylib", "jsonlite", "knitr", "lattice", "lifecycle", "lpSolve", "magrittr", "MASS", "Matrix", "matrixcalc", "matrixStats", "memoise", "mime", "mvtnorm", "numDeriv", "OptimalDesign", "otel", "pillar", "pkgconfig", "plyr", "posterior", "processx", "ps", "quadprog", "R6", "rappdirs", "Rcpp", "rgl", "rlang", "rmarkdown", "sass", "tensorA", "tibble", "tinytex", "utf8", "vctrs", "xfun", "yaml" ], "_vignettes": [ { "source": "BSCB-vignette.Rmd", "filename": "BSCB-vignette.html", "title": "BSCB-vignette", "engine": "knitr::rmarkdown", "headings": [ "Bayesian simultaneous credible bands for the polynomial model", "Overview", "1. Simulate Data", "2. Construct the Bands", "BSCB-C: BSCB under the Normal-Gamma conjugate prior", "BSCB-I-J: BSCB under the independent Jeffreys prior", "BSCB-H-C: BSCB under the normal-half-Cauchy prior(0,2) implemented via HMC", "BPCB-I-J: BPCB under the independent Jeffreys prior", "3. Evaluate Bands over a Grid and Plot", "4. Evaluate Coverage", "Empirical Simultaneous Coverage Rate (ESCR)", "Posterior Simultaneous Coverage Probability (PSCP)", "Summary Table" ], "created": "2026-04-15 15:15:19", "modified": "2026-04-16 11:04:11", "commits": 2 } ], "_score": 4.653212513775344, "_indexed": true, "_nocasepkg": "bscb", "_universes": [ "fannyyang73" ], "_binaries": [ { "r": "4.7.0", "os": "linux", "version": "1.0.0", "date": "2026-07-11T09:19:44.000Z", "distro": "resolute", "arch": "aarch64", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/a81c2894b3848399ffe973e68b7fc88f3e9d340db4046bfd9052f354ffa8b098", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" }, { "r": "4.7.0", "os": "linux", "version": "1.0.0", "date": "2026-07-11T09:19:21.000Z", "distro": "resolute", "arch": "x86_64", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/8ad2ba99fe6afb4b0058974f73fc83e74f60c4930f3a8af158423df8fba31417", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" }, { "r": "4.6.1", "os": "linux", "version": "1.0.0", "date": "2026-07-11T09:19:38.000Z", "distro": "resolute", "arch": "aarch64", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/6f89248e4349beec3803aec1e9a575c3aa3788cc17eeb67f4b51f024f3e9fc06", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" }, { "r": "4.6.1", "os": "linux", "version": "1.0.0", "date": "2026-07-11T09:19:14.000Z", "distro": "resolute", "arch": "x86_64", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/2b13355dee6d94b00fcf78a2583fbef62da2682ebc5002a18b352b123f00e132", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" }, { "r": "4.5.3", "os": "mac", "version": "1.0.0", "date": "2026-07-11T09:19:01.000Z", "arch": "aarch64", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/7ece6737fc88093766f0336fb85e9c84595e95e685d10a35b03405eb75afc8aa", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" }, { "r": "4.5.3", "os": "mac", "version": "1.0.0", "date": "2026-07-11T09:19:44.000Z", "arch": "x86_64", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/8388a5c875f2362e379d18742d7bfad8d8a3aa4edc132b1222712940ce01a40a", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" }, { "r": "4.6.1", "os": "mac", "version": "1.0.0", "date": "2026-07-11T09:18:43.000Z", "arch": "aarch64", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/a6cfff0f66037e5bf539150f06f7a1c88662c1de5dafc7a902afb45b15377cb6", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" }, { "r": "4.6.1", "os": "mac", "version": "1.0.0", "date": "2026-07-11T09:20:25.000Z", "arch": "x86_64", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/86af3c079bd2259d1f59c9dedeb1e2d3d2389dcbc3199a797bc96c2f4ef48ae3", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" }, { "r": "4.6.0", "os": "wasm", "version": "1.0.0", "date": "2026-07-11T09:19:48.000Z", "arch": "emscripten", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/d6af093734fe573d1078328aef03a17a7f63a2dce5f4d6d2204d76ecf7bb38c7", "status": "success", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" }, { "r": "4.7.0", "os": "win", "version": "1.0.0", "date": "2026-07-11T09:18:34.000Z", "arch": "x86_64", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/7bbded32a34b33b675252ee49bff51914e29c816ac01d1ee3b29c94d094c2181", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" }, { "r": "4.5.3", "os": "win", "version": "1.0.0", "date": "2026-07-11T09:18:39.000Z", "arch": "x86_64", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/6f02cd0d00419ef88a24a40e7b41e0124cdc10cecc06bd559c91e2af1487650b", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" }, { "r": "4.6.1", "os": "win", "version": "1.0.0", "date": "2026-07-11T09:18:05.000Z", "arch": "x86_64", "commit": "b9620c75f1adc5485d51b75ca26469fcab1d5caa", "fileid": "https://r2.ropensci.org/6de53d6bf65138b3c36e71209654c99c7bd9aab5ed910ecd4ffa2c4080c1b527", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/fannyyang73/actions/runs/29147358863" } ] }