Closed form distributions, based on the incomplete gamma function

• !!!Boost: Chi Distribution
  • math53.chi_pdf()
  • math53.chi_cdf()
  • math53.chi_qtf()
  • ctx.dist_chi
  • dist_chi.pdf()
  • dist_chi.cdf()
  • dist_chi.sf()
  • dist_chi.qtf()
  • dist_chi.isf()
  • dist_chi.c_x()
  • dist_chi.m_x()
  • dist_chi.k_x()
  • dist_chi.moments()
  • dist_chi.cumulants()
• Boost: Chi2 distribution
  • math53.chi2_pdf()
  • math53.chi2_cdf()
  • math53.chi2_qtf()
  • ctx.dist_chi2
  • dist_chi_squared.pdf()
  • dist_chi_squared.cdf()
  • dist_chi_squared.sf()
  • dist_chi_squared.qtf()
  • dist_chi_squared.isf()
  • dist_chi_squared.c_x()
  • dist_chi_squared.m_x()
  • dist_chi_squared.k_x()
  • dist_chi_squared.moments()
  • dist_chi_squared.cumulants()
  • ctx.chi_squared_recurrence()
  • ctx.chi_squared_gp()
  • ctx.chi_squared_ecf()
  • ctx.chi_squared_ecf_inv()
  • ctx.chi_squared_spa()
  • ctx.chi_squared_spa_inv()
• Boost: Gamma (Pearson Type III, Erlang) distribution
  • math53.gamma_pdf()
  • math53.gamma_cdf()
  • math53.gamma_qtf()
  • ctx.dist_gamma
  • dist_gamma.pdf()
  • dist_gamma.cdf()
  • dist_gamma.sf()
  • dist_gamma.qtf()
  • dist_gamma.isf()
  • dist_gamma.c_x()
  • dist_gamma.m_x()
  • dist_gamma.k_x()
  • dist_gamma.moments()
  • dist_gamma.cumulants()
• Boost: Inverse chisquared distribution
  • math53.inverse_chi2_pdf()
  • math53.inverse_chi2_cdf()
  • math53.inverse_chi2_qtf()
  • ctx.dist_inverse_chi2
  • dist_invchisquared.pdf()
  • dist_invchisquared.cdf()
  • dist_invchisquared.sf()
  • dist_invchisquared.qtf()
  • dist_invchisquared.isf()
  • dist_invchisquared.c_x()
  • dist_invchisquared.m_x()
  • dist_invchisquared.k_x()
  • dist_invchisquared.moments()
  • dist_invchisquared.cumulants()
• Boost: Inverse Gamma (Pearson Type V) distribution
  • math53.inverse_gamma_pdf()
  • math53.inverse_gamma_cdf()
  • math53.inverse_gamma_qtf()
  • ctx.dist_inverse_gamma
  • dist_invgamma.pdf()
  • dist_invgamma.cdf()
  • dist_invgamma.sf()
  • dist_invgamma.qtf()
  • dist_invgamma.isf()
  • dist_invgamma.c_x()
  • dist_invgamma.m_x()
  • dist_invgamma.k_x()
  • dist_invgamma.moments()
  • dist_invgamma.cumulants()
• !!!Boost: Maxwell Distribution
  • math53.maxwell_pdf()
  • math53.maxwell_cdf()
  • math53.maxwell_qtf()
  • ctx.dist_maxwell
  • dist_maxwell.pdf()
  • dist_maxwell.cdf()
  • dist_maxwell.sf()
  • dist_maxwell.qtf()
  • dist_maxwell.isf()
  • dist_maxwell.c_x()
  • dist_maxwell.m_x()
  • dist_maxwell.k_x()
  • dist_maxwell.moments()
  • dist_maxwell.cumulants()
• !!!Boost: Nakagami distribution
  • math53.nakagami_pdf()
  • math53.nakagami_cdf()
  • math53.nakagami_qtf()
  • ctx.dist_nakagami
  • dist_nakagami.pdf()
  • dist_nakagami.cdf()
  • dist_nakagami.sf()
  • dist_nakagami.qtf()
  • dist_nakagami.isf()
  • dist_nakagami.c_x()
  • dist_nakagami.m_x()
  • dist_nakagami.k_x()
  • dist_nakagami.moments()
  • dist_nakagami.cumulants()
• Amoroso distribution
  • ctx.dist_amoroso
  • dist_amoroso.pdf()
  • dist_amoroso.cdf()
  • dist_amoroso.sf()
  • dist_amoroso.qtf()
  • dist_amoroso.isf()
  • dist_amoroso.c_x()
  • dist_amoroso.m_x()
  • dist_amoroso.k_x()
  • dist_amoroso.moments()
  • dist_amoroso.cumulants()
• Distribution of the logarithm of a \(\chi^2\) random variable
  • ctx.dist_logrv_chisquared
  • dist_logrv_chisquared.pdf()
  • dist_logrv_chisquared.cdf()
  • dist_logrv_chisquared.sf()
  • dist_logrv_chisquared.qtf()
  • dist_logrv_chisquared.isf()
  • dist_logrv_chisquared.c_x()
  • dist_logrv_chisquared.m_x()
  • dist_logrv_chisquared.k_x()
  • dist_logrv_chisquared.moments()
  • dist_logrv_chisquared.cumulants()
  • ctx.logrv_chisquared_ecf()
  • ctx.logrv_chisquared_ecf_inv()
• Hypoexponential (Generalized Erlang) Distribution
  • ctx.dist_hypoexponential
  • dist_hypoexponential.pdf()
  • dist_hypoexponential.cdf()
  • dist_hypoexponential.sf()
  • dist_hypoexponential.qtf()
  • dist_hypoexponential.isf()
  • dist_hypoexponential.c_x()
  • dist_hypoexponential.m_x()
  • dist_hypoexponential.k_x()
  • dist_hypoexponential.moments()
  • dist_hypoexponential.cumulants()
• Lindley distribution (generalized)
  • ctx.dist_lindley
  • dist_lindley.pdf()
  • dist_lindley.cdf()
  • dist_lindley.sf()
  • dist_lindley.qtf()
  • dist_lindley.isf()
  • dist_lindley.c_x()
  • dist_lindley.m_x()
  • dist_lindley.k_x()
  • dist_lindley.moments()
  • dist_lindley.cumulants()
• Skew exponential power distribution
  • ctx.skewexponpower
  • skewexponpower.pdf()
  • skewexponpower.cdf()
  • skewexponpower.sf()
  • skewexponpower.qtf()
  • skewexponpower.isf()
  • skewexponpower.c_x()
  • skewexponpower.m_x()
  • skewexponpower.k_x()
  • skewexponpower.moments()
  • skewexponpower.cumulants()
• Stacy (generalized gamma) distribution
  • ctx.dist_stacy
  • dist_stacy.pdf()
  • dist_stacy.cdf()
  • dist_stacy.sf()
  • dist_stacy.qtf()
  • dist_stacy.isf()
  • dist_stacy.c_x()
  • dist_stacy.m_x()
  • dist_stacy.k_x()
  • dist_stacy.moments()
  • dist_stacy.cumulants()