{ "_id": "6a1f0507b401979e7341b8bc", "Package": "hermiter", "Title": "Efficient Sequential and Batch Estimation of Univariate and\nBivariate Probability Density Functions and Cumulative\nDistribution Functions along with Quantiles (Univariate) and\nNonparametric Correlation (Bivariate)", "Version": "2.3.1", "Date": "2024-02-25", "Authors@R": "c(\nperson(\"Michael\",\"Stephanou\",role=c(\"aut\",\"cre\"), email=\"michael.stephanou@gmail.com\"),\nperson(\"Melvin\",\"Varughese\",role=\"ctb\"))", "Author": "Michael Stephanou [aut, cre], Melvin Varughese [ctb]", "Maintainer": "Michael Stephanou ", "Description": "Facilitates estimation of full univariate and bivariate\nprobability density functions and cumulative distribution\nfunctions along with full quantile functions (univariate) and\nnonparametric correlation (bivariate) using Hermite series\nbased estimators. These estimators are particularly useful in\nthe sequential setting (both stationary and non-stationary) and\none-pass batch estimation setting for large data sets. Based\non: Stephanou, Michael, Varughese, Melvin and Macdonald, Iain.\n\"Sequential quantiles via Hermite series density estimation.\"\nElectronic Journal of Statistics 11.1 (2017): 570-607\n, Stephanou, Michael and Varughese,\nMelvin. \"On the properties of Hermite series based distribution\nfunction estimators.\" Metrika (2020)\n and Stephanou, Michael and\nVarughese, Melvin. \"Sequential estimation of Spearman rank\ncorrelation using Hermite series estimators.\" Journal of\nMultivariate Analysis (2021) .", "License": "MIT + file LICENSE", "SystemRequirements": "GNU make", "RoxygenNote": "7.3.1", "VignetteBuilder": "knitr", "ByteCompile": "true", "URL": "https://github.com/MikeJaredS/hermiter", "BugReports": "https://github.com/MikeJaredS/hermiter/issues", "Config/pak/sysreqs": "make", "Repository": "https://mikejareds.r-universe.dev", "Date/Publication": "2024-08-31 10:10:51 UTC", "RemoteUrl": "https://github.com/mikejareds/hermiter", "RemoteRef": "HEAD", "RemoteSha": "c7ffbee07c4713e0841d5c229f6b24c3d5920a99", "NeedsCompilation": "yes", "Packaged": { "Date": "2026-05-18 07:30:10 UTC", "User": "root" }, "MD5sum": "891202d38699d988eaec4c94addebbbb", "_user": "mikejareds", "_type": "src", "_file": "hermiter_2.3.1.tar.gz", "_fileid": "8d62464a7147716fdc374126bd79f5317e62023429645d18c81bcc1efe8db70b", "_filesize": 2729054, "_sha256": "8d62464a7147716fdc374126bd79f5317e62023429645d18c81bcc1efe8db70b", "_created": "2026-05-18T07:30:10.000Z", "_published": "2026-06-02T16:29:59.379Z", "_distro": "noble", "_jobs": [ { "job": 79120737858, "time": 172, "config": "linux-devel-arm64", "r": "4.7.0", "check": "OK", "artifact": "7051906861" }, { "job": 79120737425, "time": 165, "config": "linux-devel-x86_64", "r": "4.7.0", "check": "OK", "artifact": "7051904723" }, { "job": 79120738728, "time": 188, "config": "linux-release-arm64", "r": "4.6.0", "check": "OK", "artifact": "7051911913" }, { "job": 79120737832, "time": 159, "config": "linux-release-x86_64", "r": 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"2021-11-16" }, { "version": "2.2.0", "date": "2022-11-15" }, { "version": "2.3.0", "date": "2023-05-08" }, { "version": "2.3.1", "date": "2024-03-07" } ], "_exports": [ "cor", "cum_prob", "dens", "hcdf", "hermite_estimator", "hermite_function_N", "hermite_function_sum_N", "hermite_int_full", "hermite_int_lower", "hermite_int_upper", "hermite_normalization_N", "hermite_polynomial_N", "IQR", "kendall", "merge_hermite", "merge_pair", "quant", "spearmans", "update_sequential" ], "_help": [ { "page": "hermiter-package", "title": "Efficient Sequential and Batch Estimation of Univariate and Bivariate Probability Density Functions and Cumulative Distribution Functions along with Quantiles (Univariate) and Nonparametric Correlation (Bivariate)", "topics": [ "hermiter-package", "hermiter" ] }, { "page": "cor", "title": "A wrapper around the stats::cor function adding two additional methods, namely method = \"hermite.spearman\" and method = \"hermite.kendall\" (can be abbreviated). The input parameters and output value semantics closely match the stats::cor method for easy interchange. If neither the \"hermite.spearman\" nor the \"hermite.kendall\" method is selected, then this function will call stats::cor with the arguments provided.", "topics": [ "cor" ] }, { "page": "cum_prob", "title": "Estimates the cumulative probability at one or more x values", "topics": [ "cum_prob" ] }, { "page": "cum_prob.hermite_estimator_bivar", "title": "Estimates the cumulative probabilities for a matrix of 2-d x values", "topics": [ "cum_prob.hermite_estimator_bivar" ] }, { "page": "cum_prob.hermite_estimator_univar", "title": "Estimates the cumulative probability for a vector of x values", "topics": [ "cum_prob.hermite_estimator_univar" ] }, { "page": "dens", "title": "Estimates the probability density at one or more x values", "topics": [ "dens" ] }, { "page": "dens.hermite_estimator_bivar", "title": "Estimates the probability densities for a matrix of 2-d x values", "topics": [ "dens.hermite_estimator_bivar" ] }, { "page": "dens.hermite_estimator_univar", "title": "Estimates the probability density for a vector of x values", "topics": [ "dens.hermite_estimator_univar" ] }, { "page": "density.hermite_estimator_bivar", "title": "Creates an object summarizing the bivariate PDF with associated generic methods print and plot.", "topics": [ "density.hermite_estimator_bivar" ] }, { "page": "density.hermite_estimator_univar", "title": "Creates an object summarizing the PDF with associated generic methods print and plot.", "topics": [ "density.hermite_estimator_univar" ] }, { "page": "gauss_hermite_quad_100", "title": "Calculates \\int_{-Inf}^{Inf} f(x) e^{-x^2} dx using Gauss-Hermite quadrature with 100 terms.", "topics": [ "gauss_hermite_quad_100" ] }, { "page": "hcdf", "title": "Creates an object summarizing the CDF with associated generic methods print, plot and summary.", "topics": [ "hcdf" ] }, { "page": "hcdf.hermite_estimator_bivar", "title": "Creates an object summarizing the bivariate CDF with associated generic methods print, plot and summary.", "topics": [ "hcdf.hermite_estimator_bivar" ] }, { "page": "hcdf.hermite_estimator_univar", "title": "Creates an object summarizing the CDF with associated generic methods print, plot and summary.", "topics": [ "hcdf.hermite_estimator_univar" ] }, { "page": "hermite_estimator", "title": "A class to sequentially estimate univariate and bivariate pdfs and cdfs along with quantile functions in the univariate setting and nonparametric correlations in the bivariate setting.", "topics": [ "hermite_estimator" ] }, { "page": "hermite_estimator_bivar", "title": "A class to sequentially estimate bivariate pdfs, cdfs and nonparametric correlations", "topics": [ "hermite_estimator_bivar" ] }, { "page": "hermite_estimator_univar", "title": "A class to sequentially estimate univariate pdfs, cdfs and quantile functions", "topics": [ "hermite_estimator_univar" ] }, { "page": "hermite_function", "title": "Outputs orthonormal Hermite functions", "topics": [ "hermite_function" ] }, { "page": "hermite_function_N", "title": "Convenience function to output orthonormal Hermite functions The method calculates the orthonormal Hermite functions, h_k(x) from k=0,...,N for the vector of values, x.", "topics": [ "hermite_function_N" ] }, { "page": "hermite_function_sum_N", "title": "Convenience function to output the sum of orthonormal Hermite functions The method calculates the sum of orthonormal Hermite functions, sum_{i} h_k(x_{i}) from k=0,...,N for the vector of values, x.", "topics": [ "hermite_function_sum_N" ] }, { "page": "hermite_function_sum_serial", "title": "Outputs the sum of orthonormal Hermite functions", "topics": [ "hermite_function_sum_serial" ] }, { "page": "hermite_int_full", "title": "Convenience function to output the integral of the orthonormal Hermite functions on the full domain", "topics": [ "hermite_int_full" ] }, { "page": "hermite_int_full_domain", "title": "Outputs integral of the orthonormal Hermite functions on the full domain", "topics": [ "hermite_int_full_domain" ] }, { "page": "hermite_int_lower", "title": "Convenience function to output a definite integral of the orthonormal Hermite functions", "topics": [ "hermite_int_lower" ] }, { "page": "hermite_int_upper", "title": "Convenience function to output a definite integral of the orthonormal Hermite functions", "topics": [ "hermite_int_upper" ] }, { "page": "hermite_integral_val", "title": "Outputs lower integral of the orthonormal Hermite functions", "topics": [ "hermite_integral_val" ] }, { "page": "hermite_integral_val_upper", "title": "Outputs upper integral of the orthonormal Hermite functions", "topics": [ "hermite_integral_val_upper" ] }, { "page": "hermite_normalization", "title": "Outputs Hermite normalization factors", "topics": [ "hermite_normalization" ] }, { "page": "hermite_normalization_N", "title": "Convenience function to output Hermite normalization factors", "topics": [ "hermite_normalization_N" ] }, { "page": "hermite_polynomial", "title": "Outputs physicist version of Hermite Polynomials", "topics": [ "hermite_polynomial" ] }, { "page": "hermite_polynomial_N", "title": "Convenience function to output physicist Hermite polynomials The method calculates the physicist version of Hermite polynomials, H_k(x) from k=0,...,N for the vector of values, x.", "topics": [ "hermite_polynomial_N" ] }, { "page": "initialize_batch_bivar", "title": "Initializes the Hermite series based estimator with a batch of data", "topics": [ "initialize_batch_bivar" ] }, { "page": "initialize_batch_univar", "title": "Initializes the Hermite series based estimator with a batch of data", "topics": [ "initialize_batch_univar" ] }, { "page": "IQR", "title": "Estimates the Interquartile range (IQR)", "topics": [ "IQR" ] }, { "page": "IQR.default", "title": "Estimates the Interquartile range (IQR)", "topics": [ "IQR.default" ] }, { "page": "IQR.hermite_estimator_univar", "title": "Estimates the Interquartile range (IQR)", "topics": [ "IQR.hermite_estimator_univar" ] }, { "page": "kendall", "title": "Estimates the Kendall rank correlation coefficient", "topics": [ "kendall" ] }, { "page": "kendall.hermite_estimator_bivar", "title": "Estimates the Kendall rank correlation coefficient", "topics": [ "kendall.hermite_estimator_bivar" ] }, { "page": "median.hermite_estimator_univar", "title": "Estimates the median", "topics": [ "median.hermite_estimator_univar" ] }, { "page": "merge_hermite", "title": "Merges a list of Hermite estimators", "topics": [ "merge_hermite" ] }, { "page": "merge_hermite_bivar", "title": "Merges a list of bivariate Hermite estimators", "topics": [ "merge_hermite_bivar" ] }, { "page": "merge_hermite_univar", "title": "Merges a list of Hermite estimators", "topics": [ "merge_hermite_univar" ] }, { "page": "merge_moments_and_count_bivar", "title": "Internal method to consistently merge the number of observations, means and variances of two bivariate Hermite estimators", "topics": [ "merge_moments_and_count_bivar" ] }, { "page": "merge_moments_and_count_univar", "title": "Internal method to consistently merge the number of observations, means and variances of two Hermite estimators", "topics": [ "merge_moments_and_count_univar" ] }, { "page": "merge_pair", "title": "Merges two Hermite estimators", "topics": [ "merge_pair" ] }, { "page": "merge_pair.hermite_estimator_bivar", "title": "Merges two bivariate Hermite estimators", "topics": [ "merge_pair.hermite_estimator_bivar" ] }, { "page": "merge_pair.hermite_estimator_univar", "title": "Merges two Hermite estimators", "topics": [ "merge_pair.hermite_estimator_univar" ] }, { "page": "merge_standardized_helper_bivar", "title": "Internal method to merge a list of standardized bivariate Hermite estimators", "topics": [ "merge_standardized_helper_bivar" ] }, { "page": "merge_standardized_helper_univar", "title": "Internal method to merge a list of standardized Hermite estimators", "topics": [ "merge_standardized_helper_univar" ] }, { "page": "plot.hcdf_bivar", "title": "Plots the hcdf_bivar object as output by the hcdf function when evaluated on a hermite_estimator_bivar object.", "topics": [ "plot.hcdf_bivar" ] }, { "page": "plot.hcdf_univar", "title": "Plots the hcdf_univar object as output by the hcdf function when evaluated on a hermite_estimator_univar object.", "topics": [ "plot.hcdf_univar" ] }, { "page": "plot.hdensity_bivar", "title": "Plots the hdensity_bivar object as output by the density function when evaluated on a hermite_estimator_bivar object.", "topics": [ "plot.hdensity_bivar" ] }, { "page": "plot.hdensity_univar", "title": "Plots the hdensity_univar object as output by the density function when evaluated on a hermite_estimator_univar object.", "topics": [ "plot.hdensity_univar" ] }, { "page": "print.hcdf_bivar", "title": "Prints the hcdf_bivar object as output by the hcdf function when evaluated on a hermite_estimator_bivar object.", "topics": [ "print.hcdf_bivar" ] }, { "page": "print.hcdf_univar", "title": "Prints the hcdf_univar object as output by the hcdf function when evaluated on a hermite_estimator_univar object.", "topics": [ "print.hcdf_univar" ] }, { "page": "print.hdensity_bivar", "title": "Prints the hdensity_bivar object as output by the density function when evaluated on a hermite_estimator_bivar object.", "topics": [ "print.hdensity_bivar" ] }, { "page": "print.hdensity_univar", "title": "Prints the hdensity_univar object as output by the density function when evaluated on a hermite_estimator_univar object.", "topics": [ "print.hdensity_univar" ] }, { "page": "print.hermite_estimator_bivar", "title": "Prints bivariate hermite_estimator object.", "topics": [ "print.hermite_estimator_bivar" ] }, { "page": "print.hermite_estimator_univar", "title": "Prints univariate hermite_estimator object.", "topics": [ "print.hermite_estimator_univar" ] }, { "page": "quant", "title": "Estimates the quantiles at a vector of probability values", "topics": [ "quant" ] }, { "page": "quant.hermite_estimator_univar", "title": "Estimates the quantiles at a vector of probability values", "topics": [ "quant.hermite_estimator_univar" ] }, { "page": "quantile.hermite_estimator_univar", "title": "Estimates the quantiles at a vector of probability values", "topics": [ "quantile.hermite_estimator_univar" ] }, { "page": "spearmans", "title": "Estimates the Spearman's rank correlation coefficient", "topics": [ "spearmans" ] }, { "page": "spearmans.hermite_estimator_bivar", "title": "Estimates the Spearman's rank correlation coefficient", "topics": [ "spearmans.hermite_estimator_bivar" ] }, { "page": "standardizeInputs", "title": "Standardizes the observation x and updates the online moment inputs", "topics": [ "standardizeInputs" ] }, { "page": "standardizeInputsEW", "title": "Standardizes the observation x and updates the online moment inputs", "topics": [ "standardizeInputsEW" ] }, { "page": "summary.hcdf_bivar", "title": "Summarizes the hcdf_bivar object as output by the hcdf function when evaluated on a hermite_estimator_bivar object.", "topics": [ "summary.hcdf_bivar" ] }, { "page": "summary.hcdf_univar", "title": "Summarizes the hcdf_univar object as output by the hcdf function when evaluated on a hermite_estimator_univar object.", "topics": [ "summary.hcdf_univar" ] }, { "page": "summary.hermite_estimator_bivar", "title": "Summarizes bivariate hermite_estimator object.", "topics": [ "summary.hermite_estimator_bivar" ] }, { "page": "summary.hermite_estimator_univar", "title": "Summarizes univariate hermite_estimator object.", "topics": [ "summary.hermite_estimator_univar" ] }, { "page": "update_sequential", "title": "Updates the Hermite series based estimator sequentially", "topics": [ "update_sequential" ] }, { "page": "update_sequential.hermite_estimator_bivar", "title": "Updates the Hermite series based estimator sequentially", "topics": [ "update_sequential.hermite_estimator_bivar" ] }, { "page": "update_sequential.hermite_estimator_univar", "title": "Updates the Hermite series based estimator sequentially", "topics": [ "update_sequential.hermite_estimator_univar" ] } ], "_readme": "https://github.com/mikejareds/hermiter/raw/HEAD/README.md", "_rundeps": [ "BH", "Rcpp", "RcppParallel" ], "_sysdeps": [ { "shlib": "libstdc++", "package": "libstdc++6", "source": "gcc", "version": "14.2.0-4ubuntu2~24.04.1", "name": "c++", "homepage": "http://gcc.gnu.org/", "description": "GNU Standard C++ Library v3" } ], "_vignettes": [ { "source": "hermiter.Rmd", "filename": "hermiter.html", "title": "hermiter", "engine": "knitr::rmarkdown", "headings": [ "What does hermiter do?", "Load Packages", "Construct Estimator", "Batch Estimator Updating", "Standard syntax", "Sequential Estimator Updating", "Piped syntax", "Merging Hermite Estimators", "Estimate univariate pdf, cdf and quantile function", "Comparing Estimated versus Actual", "Convenience functions", "Estimate bivariate pdf, cdf and nonparametric correlation", "Applying to univariate grouped data (batch setting)", "Using data.table", "Using dplyr", "Checking the results (calculate mean absolute error)", "Applying to stationary data (sequential setting)", "Univariate Example", "Applying to non-stationary data (sequential setting)", "Bivariate Example", "Citing this package" ], "created": "2020-08-12 06:08:15", "modified": "2023-05-07 11:31:57", "commits": 17 } ], "_score": 5.159867847092567, "_indexed": true, "_nocasepkg": "hermiter", "_universes": [ "mikejareds", "pigm-finance" ], "_binaries": [ { "r": "4.7.0", "os": "linux", "version": "2.3.1", "date": "2026-05-18T07:33:03.000Z", "distro": "noble", "arch": "aarch64", "commit": "c7ffbee07c4713e0841d5c229f6b24c3d5920a99", "fileid": "f342fa5d60fc7739b89046ee6be7dcd1988465fae46c38ada9cb6d61388ec899", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/mikejareds/actions/runs/26019556054" }, { "r": "4.7.0", "os": "linux", "version": "2.3.1", "date": "2026-05-18T07:32:53.000Z", "distro": 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