{ "_id": "6a0f6306acfb0bcc41c5c5f9", "Package": "BivLaplaceRL", "Type": "Package", "Title": "Bivariate Laplace Transforms, Stochastic Orders, and Entropy\nMeasures in Reliability", "Version": "1.0.0", "Authors@R": "c(\nperson(\"Mahesh\", \"Divakaran\",\nemail = \"imaheshdivakaran@gmail.com\",\nrole = c(\"aut\", \"cre\"),\ncomment = c(ORCID = \"0000-0002-3488-0857\",\naffiliation = \"Amity School of Applied Sciences, Amity University Lucknow\")),\nperson(\"S.\", \"Jayalekshmi\",\nrole = c(\"aut\", \"ctb\"),\ncomment = c(affiliation = \"Department of Statistics, Cochin University of Science and Technology\")),\nperson(\"G.\", \"Rajesh\",\nemail = \"rajeshgstat@gmail.com\",\nrole = c(\"aut\"),\ncomment = c(affiliation = \"Department of Statistics, Cochin University of Science and Technology\")),\nperson(\"N. Unnikrishnan\", \"Nair\",\nrole = c(\"aut\"),\ncomment = c(affiliation = \"Department of Statistics, Cochin University of Science and Technology\"))\n)", "Description": "Implements methods for bivariate and univariate Laplace\ntransforms of residual lives and reversed residual lives,\nassociated stochastic ordering concepts, and entropy measures\nfor reliability analysis. The package covers: (1) Bivariate\nLaplace transform of residual lives and stochastic comparisons\nbased on the bivariate Laplace transform order of residual\nlives (BLt-rl), including weak bivariate hazard rate, mean\nresidual life, and relative mean residual life orders,\nnonparametric estimation, and NBUHR/NWUHR aging class\ncharacterisation; Jayalekshmi, Rajesh, and Nair (2022)\n\"Bivariate Laplace Transform of Residual Lives and Their\nProperties\" ; (2) Bivariate\nLaplace transform order of reversed residual lives (BLt-Rrl),\nreversed hazard gradient, reversed mean residual life, and the\nassociated stochastic orders (weak bivariate reversed hazard\nrate, weak bivariate reversed mean residual life); Jayalekshmi,\nRajesh, and Nair (2022) \"Bivariate Laplace Transform Order and\nOrdering of Reversed Residual Lives\"\n; (3) Univariate Laplace\ntransform of residual life, hazard rate, mean residual life,\nand the corresponding stochastic orders (Lt-rl order, hazard\nrate order, MRL order), together with a nonparametric\nestimator. Shannon entropy and Golomb's (1966) information\ngenerating function are also provided. Parametric families\nsupported include the Gumbel bivariate exponential,\nFarlie-Gumbel-Morgenstern (FGM), bivariate power, and\nSchur-constant distributions. Plotting utilities and a\nsimulation framework for evaluating estimator performance are\nalso provided.", "License": "GPL-3", "URL": "https://itsmdivakaran.github.io/BivLaplaceRL/,\nhttps://github.com/itsmdivakaran/BivLaplaceRL", "BugReports": "https://github.com/itsmdivakaran/BivLaplaceRL/issues", "Encoding": "UTF-8", "Config/Needs/website": "pkgdown", "RoxygenNote": "7.3.3", "VignetteBuilder": "knitr", "Config/testthat/edition": "3", "NeedsCompilation": "no", "Language": "en-GB", "Repository": "https://itsmdivakaran.r-universe.dev", "Date/Publication": "2026-04-30 12:49:50 UTC", "RemoteUrl": "https://github.com/itsmdivakaran/bivlaplacerl", "RemoteRef": "HEAD", "RemoteSha": "42adf8060a8855c21425dbe17c08168a8b7ab942", "Packaged": { "Date": "2026-05-21 10:40:03 UTC", "User": "root" }, "Author": "Mahesh Divakaran [aut, cre] (ORCID:\n, affiliation: Amity School\nof Applied Sciences, Amity University Lucknow),\nS. Jayalekshmi [aut, ctb] (affiliation: Department of Statistics,\nCochin University of Science and Technology),\nG. Rajesh [aut] (affiliation: Department of Statistics, Cochin\nUniversity of Science and Technology),\nN. Unnikrishnan Nair [aut] (affiliation: Department of Statistics,\nCochin University of Science and Technology)", "Maintainer": "Mahesh Divakaran ", "MD5sum": "219dd10c5b95c54876d73b8dc9a4847e", "_user": "itsmdivakaran", "_type": "src", "_file": "BivLaplaceRL_1.0.0.tar.gz", "_fileid": "63543fd06e6c313ec2cabc681a473319fb6136fb249635bd19058e036a21a318", "_filesize": 482910, "_sha256": "63543fd06e6c313ec2cabc681a473319fb6136fb249635bd19058e036a21a318", "_created": "2026-05-21T10:40:03.000Z", "_published": "2026-05-21T19:54:46.649Z", "_distro": "noble", "_jobs": [ { "job": 77256604176, "time": 121, "config": "linux-devel-x86_64", "r": "4.7.0", "check": "OK", "artifact": "7133611470" }, { "job": 77256604383, "time": 115, "config": "linux-release-x86_64", "r": "4.6.0", "check": "OK", "artifact": "7133609505" }, { "job": 77256604382, "time": 78, "config": "macos-oldrel-arm64", "r": "4.5.3", "check": "OK", "artifact": "7133607932" }, { "job": 77256604046, "time": 93, "config": "macos-release-arm64", "r": "4.6.0", "check": "OK", "artifact": "7133612133" }, { "job": 77256603495, "time": 170, "config": "source", "r": "4.6.0", "check": "OK", "artifact": "7133571557" }, { "job": 77256603762, "time": 99, "config": "wasm-release", "r": "4.6.0", "check": "OK", "artifact": "7145778689" }, { "job": 77256604217, "time": 81, "config": "windows-devel", "r": "4.7.0", "check": "OK", "artifact": "7133598619" }, { "job": 77256604374, "time": 90, "config": "windows-oldrel", "r": "4.5.3", "check": "OK", "artifact": "7133603349" }, { "job": 77256604584, "time": 94, "config": "windows-release", "r": "4.6.0", "check": "OK", "artifact": "7133604784" } ], "_buildurl": "https://github.com/r-universe/itsmdivakaran/actions/runs/26220842837", "_status": "success", "_host": "GitHub-Actions", "_upstream": "https://github.com/itsmdivakaran/bivlaplacerl", "_commit": { "id": "42adf8060a8855c21425dbe17c08168a8b7ab942", "author": "Mahesh Divakaran <185182058+itsmdivakaran@users.noreply.github.com>", "committer": "GitHub ", "message": "Add GitHub Actions workflow for R build and check", "time": 1777553390 }, "_maintainer": { "name": "Mahesh Divakaran", "email": "imaheshdivakaran@gmail.com", "login": "imaheshdivakaran", "description": "", "uuid": 34335967, "orcid": "0000-0002-3488-0857" }, "_registered": true, "_dependencies": [ { "package": "R", "version": ">= 4.1.0", "role": "Depends" }, { "package": "stats", "role": "Imports" }, { "package": "graphics", "role": "Imports" }, { "package": "testthat", "version": ">= 3.0.0", "role": "Suggests" }, { "package": "knitr", "role": "Suggests" }, { "package": "rmarkdown", "role": "Suggests" }, { "package": "MASS", "role": "Suggests" }, { "package": "survival", "role": "Suggests" }, { "package": "covr", "role": "Suggests" } ], "_owner": "itsmdivakaran", "_selfowned": true, "_usedby": 0, "_updates": [ { "week": "2026-11", "n": 4 }, { "week": "2026-17", "n": 3 }, { "week": "2026-18", "n": 10 } ], "_tags": [], "_topics": [ "statistics" ], "_stars": 0, "_contributors": [ { "user": "itsmdivakaran", "count": 17, "uuid": 185182058 } ], "_userbio": { "uuid": 185182058, "type": "user", "name": "Mahesh D", "description": "As a seasoned data scientist, trainer, and public speaker with over eight years of experience, I specialize in clinical data analysis using R." }, "_downloads": { "count": 388, "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/BivLaplaceRL" }, "_devurl": "https://github.com/itsmdivakaran/bivlaplacerl", "_searchresults": 0, "_rbuild": "4.6.0", "_assets": [ "extra/BivLaplaceRL.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", "manual.pdf" ], "_homeurl": "https://github.com/itsmdivakaran/bivlaplacerl", "_realowner": "itsmdivakaran", "_cranurl": true, "_releases": [ { "version": "0.2.0", "date": "2026-04-29" }, { "version": "1.0.0", "date": "2026-04-30" } ], "_exports": [ "biv_brlmr_order", "biv_hazard_gradient", "biv_mean_residual", "biv_rhazard_gradient", "biv_rmrl", "biv_whr_order", "biv_wmrl_order", "biv_wrhr_order", "biv_wrmrl_order", "blt_order_residual", "blt_order_reversed", "blt_residual", "blt_residual_gumbel", "blt_reversed", "blt_reversed_fgm", "blt_reversed_power", "dbivpower", "dfgm_biv", "dgumbel_biv", "hazard_rate", "hr_order", "info_gen_function", "lt_residual", "lt_rl_order", "mean_residual", "mrl_order", "nbuhr_test", "np_blt_residual", "np_lt_residual", "pbivpower", "pfgm_biv", "pgumbel_biv", "plot_blt_residual", "plot_blt_reversed", "rbivpower", "rfgm_biv", "rgumbel_biv", "rschur_biv", "sbivpower", "sfgm_biv", "sgumbel_biv", "shannon_entropy", "sim_blt_residual", "sschur_biv" ], "_help": [ { "page": "BivLaplaceRL-package", "title": "BivLaplaceRL: Bivariate Laplace Transforms, Stochastic Orders, and Entropy Measures in Reliability", "topics": [ "BivLaplaceRL-package", "BivLaplaceRL" ] }, { "page": "biv_brlmr_order", "title": "Bivariate Relative Mean Residual Life Order", "topics": [ "biv_brlmr_order" ] }, { "page": "biv_hazard_gradient", "title": "Bivariate Hazard Gradient", "topics": [ "biv_hazard_gradient" ] }, { "page": "biv_mean_residual", "title": "Bivariate Mean Residual Life Function", "topics": [ "biv_mean_residual" ] }, { "page": "biv_rhazard_gradient", "title": "Bivariate Reversed Hazard Gradient", "topics": [ "biv_rhazard_gradient" ] }, { "page": "biv_rmrl", "title": "Bivariate Reversed Mean Residual Life Function", "topics": [ "biv_rmrl" ] }, { "page": "biv_whr_order", "title": "Weak Bivariate Hazard Rate Order", "topics": [ "biv_whr_order" ] }, { "page": "biv_wmrl_order", "title": "Weak Bivariate Mean Residual Life Order", "topics": [ "biv_wmrl_order" ] }, { "page": "biv_wrhr_order", "title": "Weak Bivariate Reversed Hazard Rate Order", "topics": [ "biv_wrhr_order" ] }, { "page": "biv_wrmrl_order", "title": "Weak Bivariate Reversed Mean Residual Life Order", "topics": [ "biv_wrmrl_order" ] }, { "page": "bivpower", "title": "Bivariate Power Distribution", "topics": [ "bivpower", "dbivpower", "pbivpower", "rbivpower", "sbivpower" ] }, { "page": "blt_order_residual", "title": "Bivariate Laplace Transform Order of Residual Lives (BLt-rl)", "topics": [ "blt_order_residual" ] }, { "page": "blt_order_reversed", "title": "Bivariate Laplace Transform Order of Reversed Residual Lives (BLt-Rrl)", "topics": [ "blt_order_reversed" ] }, { "page": "blt_residual", "title": "Bivariate Laplace Transform of Residual Lives", "topics": [ "blt_residual" ] }, { "page": "blt_residual_gumbel", "title": "Closed-Form Bivariate Laplace Transform of Residual Lives (Gumbel)", "topics": [ "blt_residual_gumbel" ] }, { "page": "blt_reversed", "title": "Bivariate Laplace Transform of Reversed Residual Lives", "topics": [ "blt_reversed" ] }, { "page": "blt_reversed_fgm", "title": "Closed-Form BLT of Reversed Residual Lives for the FGM Distribution", "topics": [ "blt_reversed_fgm" ] }, { "page": "blt_reversed_power", "title": "Bivariate Laplace Transform of Reversed Residual Lives — Power Distribution", "topics": [ "blt_reversed_power" ] }, { "page": "fgm_biv", "title": "Farlie-Gumbel-Morgenstern (FGM) Bivariate Distribution", "topics": [ "dfgm_biv", "fgm_biv", "pfgm_biv", "rfgm_biv", "sfgm_biv" ] }, { "page": "gumbel_biv", "title": "Gumbel Bivariate Exponential Distribution", "topics": [ "dgumbel_biv", "gumbel_biv", "pgumbel_biv", "rgumbel_biv", "sgumbel_biv" ] }, { "page": "hazard_rate", "title": "Univariate Hazard Rate Function", "topics": [ "hazard_rate" ] }, { "page": "hr_order", "title": "Hazard Rate Order", "topics": [ "hr_order" ] }, { "page": "info_gen_function", "title": "Golomb Information Generating Function", "topics": [ "info_gen_function" ] }, { "page": "lt_residual", "title": "Univariate Laplace Transform of Residual Life", "topics": [ "lt_residual" ] }, { "page": "lt_rl_order", "title": "Univariate Laplace Transform Order of Residual Lives", "topics": [ "lt_rl_order" ] }, { "page": "mean_residual", "title": "Univariate Mean Residual Life", "topics": [ "mean_residual" ] }, { "page": "mrl_order", "title": "Mean Residual Life Order", "topics": [ "mrl_order" ] }, { "page": "nbuhr_test", "title": "Test NBUHR / NWUHR Aging Class", "topics": [ "nbuhr_test" ] }, { "page": "np_blt_residual", "title": "Nonparametric Estimator for the Bivariate Laplace Transform of Residual Lives", "topics": [ "np_blt_residual" ] }, { "page": "np_lt_residual", "title": "Nonparametric Estimator for the Univariate Laplace Transform of Residual Life", "topics": [ "np_lt_residual" ] }, { "page": "plot_blt_residual", "title": "Plot Bivariate Laplace Transform of Residual Lives", "topics": [ "plot_blt_residual" ] }, { "page": "plot_blt_reversed", "title": "Plot Bivariate Laplace Transform of Reversed Residual Lives", "topics": [ "plot_blt_reversed" ] }, { "page": "schur_biv", "title": "Schur-Constant Bivariate Distribution", "topics": [ "rschur_biv", "schur_biv", "sschur_biv" ] }, { "page": "shannon_entropy", "title": "Shannon Differential Entropy", "topics": [ "shannon_entropy" ] }, { "page": "sim_blt_residual", "title": "Monte-Carlo Simulation Study for the BLT Residual Estimator", "topics": [ "sim_blt_residual" ] } ], "_pkglogo": "https://github.com/itsmdivakaran/bivlaplacerl/raw/HEAD/man/figures/logo.svg", "_readme": "https://github.com/itsmdivakaran/bivlaplacerl/raw/HEAD/README.md", "_rundeps": [], "_vignettes": [ { "source": "introduction.Rmd", "filename": "introduction.html", "title": "Introduction to BivLaplaceRL", "author": "Mahesh Divakaran", "engine": "knitr::rmarkdown", "headings": [ "Overview", "Parametric Distributions", "Gumbel Bivariate Exponential", "Farlie-Gumbel-Morgenstern (FGM)", "Schur-Constant", "Bivariate Laplace Transform of Residual Lives", "Closed-Form (Gumbel Distribution)", "Numerical Computation", "Nonparametric Estimation", "Simulation Study", "Bivariate Hazard Gradient and MRL", "NBUHR / NWUHR Aging Classification", "Bivariate Laplace Transform of Reversed Residual Lives", "Bivariate Stochastic Orders", "Univariate Residual Life Analysis", "Laplace Transform of Residual Life", "Hazard Rate and MRL", "Univariate Stochastic Orders", "Entropy and Information Generating Functions", "References" ], "created": "2026-03-12 06:33:09", "modified": "2026-04-30 07:54:20", "commits": 3 } ], "_score": 4.176091259055681, "_indexed": true, "_nocasepkg": "bivlaplacerl", "_universes": [ "itsmdivakaran", "imaheshdivakaran" ], "_binaries": [ { "r": "4.7.0", "os": "linux", "version": "1.0.0", "date": "2026-05-21T10:42:11.000Z", "distro": "noble", "commit": "42adf8060a8855c21425dbe17c08168a8b7ab942", "fileid": "63db9acaeb44e49f9931a834986657dfca6e1dafe47f7035c930f627e9aced26", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/itsmdivakaran/actions/runs/26220842837" }, { "r": "4.6.0", "os": "linux", "version": "1.0.0", "date": "2026-05-21T10:42:05.000Z", "distro": "noble", "commit": "42adf8060a8855c21425dbe17c08168a8b7ab942", "fileid": "02d105e1b940de3824634642f5a501a26bf9df7ca0831eb41b68a27549f08e29", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/itsmdivakaran/actions/runs/26220842837" }, { "r": "4.5.3", "os": "mac", "version": "1.0.0", "date": "2026-05-21T10:42:06.000Z", "commit": "42adf8060a8855c21425dbe17c08168a8b7ab942", "fileid": "c376cbfb9282892ff555bccd4b95fb9b31de27ab8e3869185d17dc57d9b5fc69", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/itsmdivakaran/actions/runs/26220842837" }, { "r": "4.6.0", "os": "mac", "version": "1.0.0", "date": "2026-05-21T10:42:16.000Z", "commit": "42adf8060a8855c21425dbe17c08168a8b7ab942", "fileid": "b8ca98043f5ac61103c3f45182526af128a384fc1babeb897509b4e044911e91", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/itsmdivakaran/actions/runs/26220842837" }, { "r": "4.6.0", "os": "wasm", "version": "1.0.0", "date": "2026-05-21T19:54:28.000Z", "commit": "42adf8060a8855c21425dbe17c08168a8b7ab942", "fileid": "d3d4713d045ff822d239cdb8d7b97891c827af577c03321c41cffd1175c5a053", "status": "success", "buildurl": "https://github.com/r-universe/itsmdivakaran/actions/runs/26220842837" }, { "r": "4.7.0", "os": "win", "version": "1.0.0", "date": "2026-05-21T10:41:25.000Z", "commit": "42adf8060a8855c21425dbe17c08168a8b7ab942", "fileid": "5bbfdd5bdfb985e83ae6625995167e0411948ce0f7b7f1f64eaa724fb7857f97", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/itsmdivakaran/actions/runs/26220842837" }, { "r": "4.5.3", "os": "win", "version": "1.0.0", "date": "2026-05-21T10:41:42.000Z", "commit": "42adf8060a8855c21425dbe17c08168a8b7ab942", "fileid": "84e33148298cbe68c50ccf4b265d71a25dc1b845b24c9aa1b8fbc4a185535999", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/itsmdivakaran/actions/runs/26220842837" }, { "r": "4.6.0", "os": "win", "version": "1.0.0", "date": "2026-05-21T10:41:42.000Z", "commit": "42adf8060a8855c21425dbe17c08168a8b7ab942", "fileid": "cc2540e59352dc1f2fee39313981a5e145915081b3aba62e63bc509993b67ba5", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/itsmdivakaran/actions/runs/26220842837" } ] }