Uniformity Tests on the Circle, Sphere, and Hypersphere
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Documentation for package ‘sphunif’ version 1.4.0
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A B C D F G H I L P Q R S T U V W X
| sphunif-package | 'sphunif': Uniformity Tests on the Circle, Sphere, and Hypersphere |
-- A --
| akx | Utilities for projected-ecdf statistics of spherical uniformity |
| angles_to_sphere | Conversion between angular and Cartesian coordinates of the (hyper)sphere |
| avail_cir_tests | Available circular and (hyper)spherical uniformity tests |
| avail_sph_tests | Available circular and (hyper)spherical uniformity tests |
| avail_tests | Available circular and (hyper)spherical uniformity tests |
| A_theta_x | Surface area of the intersection of two hyperspherical caps |
-- B --
| bk_to_uk | Transformation between different coefficients in Sobolev statistics |
| bk_to_vk2 | Transformation between different coefficients in Sobolev statistics |
-- C --
| cir_coord_conv | Transforming between polar and Cartesian coordinates |
| cir_gaps | Circular gaps |
| cir_stat | Statistics for testing circular uniformity |
| cir_stat_Ajne | Statistics for testing circular uniformity |
| cir_stat_Bakshaev | Statistics for testing circular uniformity |
| cir_stat_Bingham | Statistics for testing circular uniformity |
| cir_stat_CCF09 | Statistics for testing circular uniformity |
| cir_stat_Cressie | Statistics for testing circular uniformity |
| cir_stat_distr | Asymptotic distributions for circular uniformity statistics |
| cir_stat_FG01 | Statistics for testing circular uniformity |
| cir_stat_Gine_Fn | Statistics for testing circular uniformity |
| cir_stat_Gine_Gn | Statistics for testing circular uniformity |
| cir_stat_Gini | Statistics for testing circular uniformity |
| cir_stat_Gini_squared | Statistics for testing circular uniformity |
| cir_stat_Greenwood | Statistics for testing circular uniformity |
| cir_stat_Hermans_Rasson | Statistics for testing circular uniformity |
| cir_stat_Hodges_Ajne | Statistics for testing circular uniformity |
| cir_stat_Kuiper | Statistics for testing circular uniformity |
| cir_stat_Log_gaps | Statistics for testing circular uniformity |
| cir_stat_Max_uncover | Statistics for testing circular uniformity |
| cir_stat_Num_uncover | Statistics for testing circular uniformity |
| cir_stat_PAD | Statistics for testing circular uniformity |
| cir_stat_PCvM | Statistics for testing circular uniformity |
| cir_stat_Poisson | Statistics for testing circular uniformity |
| cir_stat_PRt | Statistics for testing circular uniformity |
| cir_stat_Pycke | Statistics for testing circular uniformity |
| cir_stat_Pycke_q | Statistics for testing circular uniformity |
| cir_stat_Range | Statistics for testing circular uniformity |
| cir_stat_Rao | Statistics for testing circular uniformity |
| cir_stat_Rayleigh | Statistics for testing circular uniformity |
| cir_stat_Riesz | Statistics for testing circular uniformity |
| cir_stat_Rothman | Statistics for testing circular uniformity |
| cir_stat_Sobolev | Finite Sobolev statistics for testing (hyper)spherical uniformity |
| cir_stat_Softmax | Statistics for testing circular uniformity |
| cir_stat_Vacancy | Statistics for testing circular uniformity |
| cir_stat_Watson | Statistics for testing circular uniformity |
| cir_stat_Watson_1976 | Statistics for testing circular uniformity |
| comets | Comet orbits |
| con_f | Local projected alternatives to uniformity |
| craters | Craters named by the IUA |
| cutoff_locdev | Local projected alternatives to uniformity |
| cutoff_wschisq | Weighted sums of non-central chi squared random variables |
| c_unif_cap | Uniform spherical cap distribution |
-- D --
| d_cir_stat_Ajne | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Bakshaev | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Bingham | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Gine_Fn | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Gine_Gn | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Gini | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Gini_squared | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Greenwood | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Hermans_Rasson | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Hodges_Ajne | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Kuiper | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Log_gaps | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Max_uncover | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Num_uncover | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_PAD | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_PCvM | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Poisson | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_PRt | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Pycke | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Pycke_q | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Range | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Rao | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Rayleigh | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Riesz | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Rothman | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Sobolev | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Softmax | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Vacancy | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Watson | Asymptotic distributions for circular uniformity statistics |
| d_cir_stat_Watson_1976 | Asymptotic distributions for circular uniformity statistics |
| d_Kolmogorov | Asymptotic distributions for circular uniformity statistics |
| d_locdev | Local projected alternatives to uniformity |
| d_proj_unif | Projection of the spherical uniform distribution |
| d_proj_unif_cap | Uniform spherical cap distribution |
| d_p_k | Asymptotic distributions of Sobolev statistics of spherical uniformity |
| d_Sobolev | Asymptotic distributions of Sobolev statistics of spherical uniformity |
| d_sph_stat_Ajne | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_Bakshaev | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_Bingham | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_CJ12 | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_Gine_Fn | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_Gine_Gn | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_PAD | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_PCvM | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_Poisson | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_PRt | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_Rayleigh | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_Rayleigh_HD | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_Riesz | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_Sobolev | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_Softmax | Asymptotic distributions for spherical uniformity statistics |
| d_sph_stat_Stereo | Asymptotic distributions for spherical uniformity statistics |
| d_unif_cap | Uniform spherical cap distribution |
| d_wschisq | Weighted sums of non-central chi squared random variables |
-- F --
| F_from_f | Distribution and quantile functions from angular function |
| F_inv_from_f | Distribution and quantile functions from angular function |
| f_locdev | Local projected alternatives to uniformity |
| f_locdev_Pn | Utilities for projected-ecdf statistics of spherical uniformity |
-- G --
| Gauss_Legen | Gauss-Legendre quadrature |
| Gauss_Legen_nodes | Gauss-Legendre quadrature |
| Gauss_Legen_weights | Gauss-Legendre quadrature |
| Gegenbauer | Gegenbauer polynomials and coefficients |
| Gegen_coefs | Gegenbauer polynomials and coefficients |
| Gegen_coefs_2d | Gegenbauer polynomials and coefficients |
| Gegen_coefs_Pn | Utilities for projected-ecdf statistics of spherical uniformity |
| Gegen_norm | Gegenbauer polynomials and coefficients |
| Gegen_norm_2d | Gegenbauer polynomials and coefficients |
| Gegen_polyn | Gegenbauer polynomials and coefficients |
| Gegen_polyn_2d | Gegenbauer polynomials and coefficients |
| Gegen_series | Gegenbauer polynomials and coefficients |
| Gegen_series_2d | Gegenbauer polynomials and coefficients |
| g_i_k | (Hyper)spherical harmonics |
-- H --
| harmonics | (Hyper)spherical harmonics |
-- I --
| int_sph_MC | Monte Carlo integration of functions on the (hyper)sphere |
-- L --
| locdev | Local projected alternatives to uniformity |
-- P --
| planets | Planet orbits |
| Pn | Utilities for projected-ecdf statistics of spherical uniformity |
| proj_unif | Projection of the spherical uniform distribution |
| Psi | Shortest angles matrix |
| Psi_mat | Shortest angles matrix |
| psi_Pn | Utilities for projected-ecdf statistics of spherical uniformity |
| p_cir_stat_Ajne | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Bakshaev | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Bingham | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Gine_Fn | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Gine_Gn | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Gini | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Gini_squared | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Greenwood | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Hermans_Rasson | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Hodges_Ajne | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Hodges_Ajne2 | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Kuiper | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Log_gaps | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Max_uncover | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Num_uncover | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_PAD | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_PCvM | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Poisson | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_PRt | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Pycke | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Pycke_q | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Range | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Rao | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Rayleigh | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Riesz | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Rothman | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Sobolev | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Softmax | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Vacancy | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Watson | Asymptotic distributions for circular uniformity statistics |
| p_cir_stat_Watson_1976 | Asymptotic distributions for circular uniformity statistics |
| p_Kolmogorov | Asymptotic distributions for circular uniformity statistics |
| p_proj_unif | Projection of the spherical uniform distribution |
| p_proj_unif_cap | Uniform spherical cap distribution |
| p_Sobolev | Asymptotic distributions of Sobolev statistics of spherical uniformity |
| p_sph_stat_Ajne | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_Bakshaev | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_Bingham | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_CJ12 | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_Gine_Fn | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_Gine_Gn | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_PAD | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_PCvM | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_Poisson | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_PRt | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_Rayleigh | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_Rayleigh_HD | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_Riesz | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_Sobolev | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_Softmax | Asymptotic distributions for spherical uniformity statistics |
| p_sph_stat_Stereo | Asymptotic distributions for spherical uniformity statistics |
| p_wschisq | Weighted sums of non-central chi squared random variables |
-- Q --
| q_proj_unif | Projection of the spherical uniform distribution |
| q_proj_unif_cap | Uniform spherical cap distribution |
| q_Sobolev | Asymptotic distributions of Sobolev statistics of spherical uniformity |
| q_wschisq | Weighted sums of non-central chi squared random variables |
-- R --
| rhea | Rhea craters from Hirata (2016) |
| r_alt | Sample non-uniformly distributed spherical data |
| r_locdev | Local projected alternatives to uniformity |
| r_proj_unif | Projection of the spherical uniform distribution |
| r_proj_unif_cap | Uniform spherical cap distribution |
| r_unif | Sample uniformly distributed circular and spherical data |
| r_unif_cap | Uniform spherical cap distribution |
| r_unif_cir | Sample uniformly distributed circular and spherical data |
| r_unif_sph | Sample uniformly distributed circular and spherical data |
| r_wschisq | Weighted sums of non-central chi squared random variables |
-- S --
| Sobolev | Asymptotic distributions of Sobolev statistics of spherical uniformity |
| Sobolev_coefs | Transformation between different coefficients in Sobolev statistics |
| sphere_to_angles | Conversion between angular and Cartesian coordinates of the (hyper)sphere |
| sphunif | 'sphunif': Uniformity Tests on the Circle, Sphere, and Hypersphere |
| sph_stat | Statistics for testing (hyper)spherical uniformity |
| sph_stat_Ajne | Statistics for testing (hyper)spherical uniformity |
| sph_stat_Bakshaev | Statistics for testing (hyper)spherical uniformity |
| sph_stat_Bingham | Statistics for testing (hyper)spherical uniformity |
| sph_stat_CCF09 | Statistics for testing (hyper)spherical uniformity |
| sph_stat_CJ12 | Statistics for testing (hyper)spherical uniformity |
| sph_stat_distr | Asymptotic distributions for spherical uniformity statistics |
| sph_stat_Gine_Fn | Statistics for testing (hyper)spherical uniformity |
| sph_stat_Gine_Gn | Statistics for testing (hyper)spherical uniformity |
| sph_stat_PAD | Statistics for testing (hyper)spherical uniformity |
| sph_stat_PCvM | Statistics for testing (hyper)spherical uniformity |
| sph_stat_Poisson | Statistics for testing (hyper)spherical uniformity |
| sph_stat_PRt | Statistics for testing (hyper)spherical uniformity |
| sph_stat_Pycke | Statistics for testing (hyper)spherical uniformity |
| sph_stat_Rayleigh | Statistics for testing (hyper)spherical uniformity |
| sph_stat_Rayleigh_HD | Statistics for testing (hyper)spherical uniformity |
| sph_stat_Riesz | Statistics for testing (hyper)spherical uniformity |
| sph_stat_Sobolev | Finite Sobolev statistics for testing (hyper)spherical uniformity |
| sph_stat_Softmax | Statistics for testing (hyper)spherical uniformity |
| sph_stat_Stereo | Statistics for testing (hyper)spherical uniformity |
-- T --
| Theta_to_X | Transforming between polar and Cartesian coordinates |
-- U --
| uk_to_bk | Transformation between different coefficients in Sobolev statistics |
| uk_to_vk2 | Transformation between different coefficients in Sobolev statistics |
| unif_cap | Uniform spherical cap distribution |
| unif_stat | Circular and (hyper)spherical uniformity statistics |
| unif_stat_distr | Null distributions for circular and (hyper)spherical uniformity statistics |
| unif_stat_MC | Monte Carlo simulation of circular and (hyper)spherical uniformity statistics |
| unif_test | Circular and (hyper)spherical uniformity tests |
| upper_tri_ind | Shortest angles matrix |
-- V --
| venus | Venus craters |
| vk2_to_bk | Transformation between different coefficients in Sobolev statistics |
| vk2_to_uk | Transformation between different coefficients in Sobolev statistics |
-- W --
| weights_dfs_Sobolev | Asymptotic distributions of Sobolev statistics of spherical uniformity |
| wschisq | Weighted sums of non-central chi squared random variables |
-- X --
| X_to_Theta | Transforming between polar and Cartesian coordinates |