Closed form distributions, based on the error function

• !!!Boost: Lévy distribution
  • math53.levy_pdf()
  • math53.levy_cdf()
  • math53.levy_qtf()
  • ctx.dist_levy
  • dist_levy.pdf()
  • dist_levy.cdf()
  • dist_levy.sf()
  • dist_levy.qtf()
  • dist_levy.isf()
  • dist_levy.c_x()
  • dist_levy.m_x()
  • dist_levy.k_x()
  • dist_levy.moments()
  • dist_levy.cumulants()
• Boost: Lognormal (Johnson \(S_L\)) distribution
  • math53.lognormal_pdf()
  • math53.lognormal_cdf()
  • math53.lognormal_qtf()
  • ctx.dist_lognormal
  • dist_lognormal.pdf()
  • dist_lognormal.cdf()
  • dist_lognormal.sf()
  • dist_lognormal.qtf()
  • dist_lognormal.isf()
  • dist_lognormal.c_x()
  • dist_lognormal.m_x()
  • dist_lognormal.k_x()
  • dist_lognormal.moments()
  • dist_lognormal.cumulants()
• !!!Boost: Moyal Distribution
  • math53.moyal_pdf()
  • math53.moyal_cdf()
  • math53.moyal_qtf()
  • ctx.dist_moyal
  • dist_moyal.pdf()
  • dist_moyal.cdf()
  • dist_moyal.sf()
  • dist_moyal.qtf()
  • dist_moyal.isf()
  • dist_moyal.c_x()
  • dist_moyal.m_x()
  • dist_moyal.k_x()
  • dist_moyal.moments()
  • dist_moyal.cumulants()
• Boost: Normal (Johnson \(S_N\)) distribution
  • math53.normal_pdf()
  • math53.normal_cdf()
  • math53.normal_qtf()
  • ctx.dist_normal
  • dist_normal.pdf()
  • dist_normal.cdf()
  • dist_normal.sf()
  • dist_normal.qtf()
  • dist_normal.isf()
  • dist_normal.c_x()
  • dist_normal.m_x()
  • dist_normal.k_x()
  • dist_normal.moments()
  • dist_normal.cumulants()
• Boost: Skew normal Distribution
  • math53.skewnormal_pdf()
  • math53.skewnormal_cdf()
  • math53.skewnormal_qtf()
  • ctx.dist_skewnormal
  • dist_skewnormal.pdf()
  • dist_skewnormal.cdf()
  • dist_skewnormal.sf()
  • dist_skewnormal.qtf()
  • dist_skewnormal.isf()
  • dist_skewnormal.c_x()
  • dist_skewnormal.m_x()
  • dist_skewnormal.k_x()
  • dist_skewnormal.moments()
  • dist_skewnormal.cumulants()
• Boost: Wald (or Inverse Gaussian) distribution
  • math53.wald_pdf()
  • math53.wald_cdf()
  • math53.wald_qtf()
  • ctx.dist_wald
  • dist_wald.pdf()
  • dist_wald.cdf()
  • dist_wald.sf()
  • dist_wald.qtf()
  • dist_wald.isf()
  • dist_wald.c_x()
  • dist_wald.m_x()
  • dist_wald.k_x()
  • dist_wald.moments()
  • dist_wald.cumulants()
• Birnbaum-Saunders Distribution
  • ctx.dist_birnb_saunders
  • dist_birnb_saunders.pdf()
  • dist_birnb_saunders.cdf()
  • dist_birnb_saunders.sf()
  • dist_birnb_saunders.qtf()
  • dist_birnb_saunders.isf()
  • dist_birnb_saunders.c_x()
  • dist_birnb_saunders.m_x()
  • dist_birnb_saunders.k_x()
  • dist_birnb_saunders.moments()
  • dist_birnb_saunders.cumulants()
• Exponentially Modified Gaussian (EMG) distribution
  • ctx.dist_emg
  • dist_emg.pdf()
  • dist_emg.cdf()
  • dist_emg.sf()
  • dist_emg.qtf()
  • dist_emg.isf()
  • dist_emg.c_x()
  • dist_emg.m_x()
  • dist_emg.k_x()
  • dist_emg.moments()
  • dist_emg.cumulants()
• Folded normal distribution
  • ctx.dist_folded_normal
  • dist_folded_normal.pdf()
  • dist_folded_normal.cdf()
  • dist_folded_normal.sf()
  • dist_folded_normal.qtf()
  • dist_folded_normal.isf()
  • dist_folded_normal.c_x()
  • dist_folded_normal.m_x()
  • dist_folded_normal.k_x()
  • dist_folded_normal.moments()
  • dist_folded_normal.cumulants()
• Half-normal distribution
  • ctx.dist_half_normal
  • dist_half_normal.pdf()
  • dist_half_normal.cdf()
  • dist_half_normal.sf()
  • dist_half_normal.qtf()
  • dist_half_normal.isf()
  • dist_half_normal.c_x()
  • dist_half_normal.m_x()
  • dist_half_normal.k_x()
  • dist_half_normal.moments()
  • dist_half_normal.cumulants()
• Johnson \(S_B\) distribution
  • ctx.dist_johnson_sb
  • dist_johnson_sb.pdf()
  • dist_johnson_sb.cdf()
  • dist_johnson_sb.sf()
  • dist_johnson_sb.qtf()
  • dist_johnson_sb.isf()
  • dist_johnson_sb.c_x()
  • dist_johnson_sb.m_x()
  • dist_johnson_sb.k_x()
  • dist_johnson_sb.moments()
  • dist_johnson_sb.cumulants()
• Johnson \(S_U\) distribution
  • ctx.dist_johnson_su
  • dist_johnson_su.pdf()
  • dist_johnson_su.cdf()
  • dist_johnson_su.sf()
  • dist_johnson_su.qtf()
  • dist_johnson_su.isf()
  • dist_johnson_su.c_x()
  • dist_johnson_su.m_x()
  • dist_johnson_su.k_x()
  • dist_johnson_su.moments()
  • dist_johnson_su.cumulants()
• Normal maximum distribution, \(\rho_{ij, i \ne j} = 0\)
  • ctx.dist_nmax_0
  • dist_nmax_0.pdf()
  • dist_nmax_0.cdf()
  • dist_nmax_0.sf()
  • dist_nmax_0.qtf()
  • dist_nmax_0.isf()
  • dist_nmax_0.c_x()
  • dist_nmax_0.m_x()
  • dist_nmax_0.k_x()
  • dist_nmax_0.moments()
  • dist_nmax_0.cumulants()
• Normal maximum modulus distribution, \(\rho_{ij, i \ne j} = 0\)
  • ctx.dist_nmm_0
  • dist_nmm_0.pdf()
  • dist_nmm_0.cdf()
  • dist_nmm_0.sf()
  • dist_nmm_0.qtf()
  • dist_nmm_0.isf()
  • dist_nmm_0.c_x()
  • dist_nmm_0.m_x()
  • dist_nmm_0.k_x()
  • dist_nmm_0.moments()
  • dist_nmm_0.cumulants()
• Sinh-arcsinh normal distribution
  • ctx.dist_sasnormal
  • dist_sasnormal.pdf()
  • dist_sasnormal.cdf()
  • dist_sasnormal.sf()
  • dist_sasnormal.qtf()
  • dist_sasnormal.isf()
  • dist_sasnormal.c_x()
  • dist_sasnormal.m_x()
  • dist_sasnormal.k_x()
  • dist_sasnormal.moments()
  • dist_sasnormal.cumulants()
• Truncated normal distribution
  • ctx.dist_truncated_normal
  • dist_truncated_normal.pdf()
  • dist_truncated_normal.cdf()
  • dist_truncated_normal.sf()
  • dist_truncated_normal.qtf()
  • dist_truncated_normal.isf()
  • dist_truncated_normal.c_x()
  • dist_truncated_normal.m_x()
  • dist_truncated_normal.k_x()
  • dist_truncated_normal.moments()
  • dist_truncated_normal.cumulants()