{ "_id": "6ac4db3cf511ae58c09a255c", "Package": "sphunif", "Type": "Package", "Title": "Uniformity Tests on the Circle, Sphere, and Hypersphere", "Version": "1.4.4", "Date": "2026-06-02", "Authors@R": "c(\nperson(given = \"Eduardo\", family = \"García-Portugués\",\nrole = c(\"aut\", \"cre\"), email = \"edgarcia@est-econ.uc3m.es\",\ncomment = c(ORCID = \"0000-0002-9224-4111\")),\nperson(given = \"Thomas\", family = \"Verdebout\", role = \"aut\",\ncomment = c(ORCID = \"0000-0002-3277-9587\")),\nperson(given = \"Alberto\", family = \"Fernández-de-Marcos\", role = \"ctb\",\nemail = \"albertfe@est-econ.uc3m.es\"),\nperson(given = \"Paula\", family = \"Navarro\", role = \"ctb\",\nemail = \"paula.navarro@unican.es\")\n)", "Description": "Implementation of uniformity tests on the circle and\n(hyper)sphere. The main function of the package is unif_test(),\nwhich conveniently collects more than 35 tests for assessing\nuniformity on S^{p-1} = {x in R^p : ||x|| = 1}, p >= 2. The\ntest statistics are implemented in the unif_stat() function,\nwhich allows computing several statistics for different samples\nwithin a single call, thus facilitating Monte Carlo\nexperiments. Furthermore, the unif_stat_MC() function allows\nparallelizing them in a simple way. The asymptotic null\ndistributions of the statistics are available through the\nfunction unif_stat_distr(). The core of 'sphunif' is coded in\nC++ by relying on the 'Rcpp' package. The package also provides\nseveral novel datasets and gives the replicability for the data\napplications/simulations in García-Portugués et al. (2021)\n, García-Portugués et al.\n(2023) , Fernández-de-Marcos and\nGarcía-Portugués (2024) , and\nGarcía-Portugués et al. 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"sphunif" ] }, { "page": "A_theta_x", "title": "Surface area of the intersection of two hyperspherical caps", "topics": [ "A_theta_x" ] }, { "page": "angles_to_sphere", "title": "Conversion between angular and Cartesian coordinates of the (hyper)sphere", "topics": [ "angles_to_sphere", "sphere_to_angles" ] }, { "page": "avail_tests", "title": "Available circular and (hyper)spherical uniformity tests", "topics": [ "avail_cir_tests", "avail_sph_tests", "avail_tests" ] }, { "page": "cir_coord_conv", "title": "Transforming between polar and Cartesian coordinates", "topics": [ "cir_coord_conv", "Theta_to_X", "X_to_Theta" ] }, { "page": "cir_gaps", "title": "Circular gaps", "topics": [ "cir_gaps" ] }, { "page": "cir_stat", "title": "Statistics for testing circular uniformity", "topics": [ "cir_stat", "cir_stat_Ajne", "cir_stat_Bakshaev", "cir_stat_Bingham", "cir_stat_CCF09", "cir_stat_Cressie", "cir_stat_FG01", "cir_stat_Gine_Fn", "cir_stat_Gine_Gn", "cir_stat_Gini", "cir_stat_Gini_squared", 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"Gegenbauer", "title": "Gegenbauer polynomials and coefficients", "topics": [ "Gegenbauer", "Gegen_coefs", "Gegen_coefs_2d", "Gegen_norm", "Gegen_norm_2d", "Gegen_polyn", "Gegen_polyn_2d", "Gegen_series", "Gegen_series_2d" ] }, { "page": "harmonics", "title": "(Hyper)spherical harmonics", "topics": [ "g_i_k", "harmonics" ] }, { "page": "int_sph_MC", "title": "Monte Carlo integration of functions on the (hyper)sphere", "topics": [ "int_sph_MC" ] }, { "page": "locdev", "title": "Local projected alternatives to uniformity", "topics": [ "con_f", "cutoff_locdev", "d_locdev", "f_locdev", "locdev", "r_locdev" ] }, { "page": "cir_stat_distr", "title": "Asymptotic distributions for circular uniformity statistics", "topics": [ "cir_stat_distr", "d_cir_stat_Ajne", "d_cir_stat_Bakshaev", "d_cir_stat_Bingham", "d_cir_stat_Gine_Fn", "d_cir_stat_Gine_Gn", "d_cir_stat_Gini", "d_cir_stat_Gini_squared", "d_cir_stat_Greenwood", "d_cir_stat_Hermans_Rasson", "d_cir_stat_Hodges_Ajne", "d_cir_stat_Kuiper", 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