Closed form distributions, based on elementary functions

• Boost: Arcsine Distribution
  • Ctx.arcsine_pdf()
  • Ctx.arcsine_cdf()
  • Ctx.arcsine_qtf()
  • ctx.dist_arcsine
  • dist_arcsine.pdf()
  • dist_arcsine.cdf()
  • dist_arcsine.sf()
  • dist_arcsine.qtf()
  • dist_arcsine.isf()
  • dist_arcsine.c_x()
  • dist_arcsine.m_x()
  • dist_arcsine.k_x()
  • dist_arcsine.moments()
  • dist_arcsine.cumulants()
• Boost: Cauchy distribution
  • Ctx.cauchy_pdf()
  • Ctx.cauchy_cdf()
  • Ctx.cauchy_qtf()
  • ctx.dist_cauchy
  • dist_cauchy.pdf()
  • dist_cauchy.cdf()
  • dist_cauchy.sf()
  • dist_cauchy.qtf()
  • dist_cauchy.isf()
  • dist_cauchy.c_x()
  • dist_cauchy.m_x()
  • dist_cauchy.k_x()
  • dist_cauchy.moments()
  • dist_cauchy.cumulants()
• Boost: Exponential distribution
  • Ctx.exponential_pdf()
  • Ctx.exponential_cdf()
  • Ctx.exponential_qtf()
  • ctx.dist_exponential
  • dist_exponential.pdf()
  • dist_exponential.cdf()
  • dist_exponential.sf()
  • dist_exponential.qtf()
  • dist_exponential.isf()
  • dist_exponential.c_x()
  • dist_exponential.m_x()
  • dist_exponential.k_x()
  • dist_exponential.moments()
  • dist_exponential.cumulants()
• Boost: Gumbel (Generalized Extreme Value distribution Type-I) distribution
  • Ctx.gumbel_pdf()
  • Ctx.gumbel_cdf()
  • Ctx.gumbel_qtf()
  • ctx.dist_gumbel
  • dist_gumbel.pdf()
  • dist_gumbel.cdf()
  • dist_gumbel.sf()
  • dist_gumbel.qtf()
  • dist_gumbel.isf()
  • dist_gumbel.c_x()
  • dist_gumbel.m_x()
  • dist_gumbel.k_x()
  • dist_gumbel.moments()
  • dist_gumbel.cumulants()
• Boost: Hyperexponential Distribution
  • Ctx.hyperexponential_pdf()
  • Ctx.hyperexponential_cdf()
  • Ctx.hyperexponential_qtf()
  • ctx.dist_hyperexponential
  • dist_hyperexponential.pdf()
  • dist_hyperexponential.cdf()
  • dist_hyperexponential.sf()
  • dist_hyperexponential.qtf()
  • dist_hyperexponential.isf()
  • dist_hyperexponential.c_x()
  • dist_hyperexponential.m_x()
  • dist_hyperexponential.k_x()
  • dist_hyperexponential.moments()
  • dist_hyperexponential.cumulants()
• !!!Boost: Kumaraswamy distribution
  • Ctx.kumaraswamy_pdf()
  • Ctx.kumaraswamy_cdf()
  • Ctx.kumaraswamy_qtf()
  • ctx.dist_kumaraswamy
  • dist_kumaraswamy.pdf()
  • dist_kumaraswamy.cdf()
  • dist_kumaraswamy.sf()
  • dist_kumaraswamy.qtf()
  • dist_kumaraswamy.isf()
  • dist_kumaraswamy.c_x()
  • dist_kumaraswamy.m_x()
  • dist_kumaraswamy.k_x()
  • dist_kumaraswamy.moments()
  • dist_kumaraswamy.cumulants()
• Boost: Laplace distribution
  • Ctx.laplace_pdf()
  • Ctx.LaplaceCdf()
  • Ctx.LaplaceQtf()
  • ctx.dist_laplace
  • dist_laplace.pdf()
  • dist_laplace.cdf()
  • dist_laplace.sf()
  • dist_laplace.qtf()
  • dist_laplace.isf()
  • dist_laplace.c_x()
  • dist_laplace.m_x()
  • dist_laplace.k_x()
  • dist_laplace.moments()
  • dist_laplace.cumulants()
• Boost: Logistic distribution
  • Ctx.logistic_pdf()
  • Ctx.logistic_cdf()
  • Ctx.logistic_qtf()
  • ctx.dist_logistic
  • dist_logistic.pdf()
  • dist_logistic.cdf()
  • dist_logistic.sf()
  • dist_logistic.qtf()
  • dist_logistic.isf()
  • dist_logistic.c_x()
  • dist_logistic.m_x()
  • dist_logistic.k_x()
  • dist_logistic.moments()
  • dist_logistic.cumulants()
• Boost: Pareto distribution
  • Ctx.pareto_pdf()
  • Ctx.pareto_cdf()
  • Ctx.pareto_qtf()
  • ctx.dist_pareto
  • dist_pareto.pdf()
  • dist_pareto.cdf()
  • dist_pareto.sf()
  • dist_pareto.qtf()
  • dist_pareto.isf()
  • dist_pareto.c_x()
  • dist_pareto.m_x()
  • dist_pareto.k_x()
  • dist_pareto.moments()
  • dist_pareto.cumulants()
• Boost: Rayleigh distribution
  • Ctx.rayleigh_pdf()
  • Ctx.rayleigh_cdf()
  • Ctx.rayleigh_qtf()
  • ctx.dist_rayleigh
  • dist_rayleigh.pdf()
  • dist_rayleigh.cdf()
  • dist_rayleigh.sf()
  • dist_rayleigh.qtf()
  • dist_rayleigh.isf()
  • dist_rayleigh.c_x()
  • dist_rayleigh.m_x()
  • dist_rayleigh.k_x()
  • dist_rayleigh.moments()
  • dist_rayleigh.cumulants()
• Boost: Triangular Distribution
  • Ctx.triangular_pdf()
  • Ctx.triangular_cdf()
  • Ctx.triangular_qtf()
  • ctx.dist_triangular
  • dist_triangular.pdf()
  • dist_triangular.cdf()
  • dist_triangular.sf()
  • dist_triangular.qtf()
  • dist_triangular.isf()
  • dist_triangular.c_x()
  • dist_triangular.m_x()
  • dist_triangular.k_x()
  • dist_triangular.moments()
  • dist_triangular.cumulants()
• Boost: Uniform distribution
  • Ctx.uniform_pdf()
  • Ctx.uniform_cdf()
  • Ctx.uniform_qtf()
  • ctx.dist_uniform
  • dist_uniform.pdf()
  • dist_uniform.cdf()
  • dist_uniform.sf()
  • dist_uniform.qtf()
  • dist_uniform.isf()
  • dist_uniform.c_x()
  • dist_uniform.m_x()
  • dist_uniform.k_x()
  • dist_uniform.moments()
  • dist_uniform.cumulants()
• Boost: Weibull (Minimum-Type-III) distribution
  • Ctx.weibull_pdf()
  • Ctx.weibull_cdf()
  • Ctx.weibull_qtf()
  • ctx.dist_weibull
  • dist_weibull.pdf()
  • dist_weibull.cdf()
  • dist_weibull.sf()
  • dist_weibull.qtf()
  • dist_weibull.isf()
  • dist_weibull.c_x()
  • dist_weibull.m_x()
  • dist_weibull.k_x()
  • dist_weibull.moments()
  • dist_weibull.cumulants()
• Dagum (Burr Type III) distribution
  • ctx.dist_dagum
  • dist_dagum.pdf()
  • dist_dagum.cdf()
  • dist_dagum.sf()
  • dist_dagum.qtf()
  • dist_dagum.isf()
  • dist_dagum.c_x()
  • dist_dagum.m_x()
  • dist_dagum.k_x()
  • dist_dagum.moments()
  • dist_dagum.cumulants()
• Fisk (log-logistic) distribution
  • ctx.dist_fisk
  • dist_fisk.pdf()
  • dist_fisk.cdf()
  • dist_fisk.sf()
  • dist_fisk.qtf()
  • dist_fisk.isf()
  • dist_fisk.c_x()
  • dist_fisk.m_x()
  • dist_fisk.k_x()
  • dist_fisk.moments()
  • dist_fisk.cumulants()
• Fréchet (Maximum/Minimum-Type-II or Inverse Weibull) distribution
  • ctx.dist_frechet
  • dist_frechet.pdf()
  • dist_frechet.cdf()
  • dist_frechet.sf()
  • dist_frechet.qtf()
  • dist_frechet.isf()
  • dist_frechet.c_x()
  • dist_frechet.m_x()
  • dist_frechet.k_x()
  • dist_frechet.moments()
  • dist_frechet.cumulants()
• Generalized Extreme Value (Maximum) or GEV distribution
  • ctx.dist_gev
  • dist_gev.pdf()
  • dist_gev.cdf()
  • dist_gev.sf()
  • dist_gev.qtf()
  • dist_gev.isf()
  • dist_gev.c_x()
  • dist_gev.m_x()
  • dist_gev.k_x()
  • dist_gev.moments()
  • dist_gev.cumulants()
• Generalized Pareto distribution
  • ctx.dist_genpareto
  • dist_genpareto.pdf()
  • dist_genpareto.cdf()
  • dist_genpareto.sf()
  • dist_genpareto.qtf()
  • dist_genpareto.isf()
  • dist_genpareto.c_x()
  • dist_genpareto.m_x()
  • dist_genpareto.k_x()
  • dist_genpareto.moments()
  • dist_genpareto.cumulants()
• Gompertz-Makeham distribution
  • ctx.dist_gompertz
  • dist_gompertz.pdf()
  • dist_gompertz.cdf()
  • dist_gompertz.sf()
  • dist_gompertz.qtf()
  • dist_gompertz.isf()
  • dist_gompertz.c_x()
  • dist_gompertz.m_x()
  • dist_gompertz.k_x()
  • dist_gompertz.moments()
  • dist_gompertz.cumulants()
• Lomax distribution
  • ctx.dist_lomax
  • dist_lomax.pdf()
  • dist_lomax.cdf()
  • dist_lomax.sf()
  • dist_lomax.qtf()
  • dist_lomax.isf()
  • dist_lomax.c_x()
  • dist_lomax.m_x()
  • dist_lomax.k_x()
  • dist_lomax.moments()
  • dist_lomax.cumulants()
• Shifted Gompertz distribution
  • ctx.dist_shifted_gompertz
  • dist_shifted_gompertz.pdf()
  • dist_shifted_gompertz.cdf()
  • dist_shifted_gompertz.sf()
  • dist_shifted_gompertz.qtf()
  • dist_shifted_gompertz.isf()
  • dist_shifted_gompertz.c_x()
  • dist_shifted_gompertz.m_x()
  • dist_shifted_gompertz.k_x()
  • dist_shifted_gompertz.moments()
  • dist_shifted_gompertz.cumulants()
• Singh-Maddala (Burr Type XII) distribution
  • ctx.dist_singh_maddala
  • dist_singh_maddala.pdf()
  • dist_singh_maddala.cdf()
  • dist_singh_maddala.sf()
  • dist_singh_maddala.qtf()
  • dist_singh_maddala.isf()
  • dist_singh_maddala.c_x()
  • dist_singh_maddala.m_x()
  • dist_singh_maddala.k_x()
  • dist_singh_maddala.moments()
  • dist_singh_maddala.cumulants()