discrete

Discrete-distribution fitters (1D).

Provides fitter functions and their descriptors for converting between discrete distribution characteristics (PMF, CDF, PPF).

Option taxonomy used here

CharacteristicOption

• _fit_pmf_to_cdf_1D, _fit_ppf_to_cdf_1D: right_closed — controls the CDF convention:

  • True (default): right-closed, standard convention F(x) = P(ξ ≤ x).

  • False: right-open convention F⁻(x) = P(ξ < x).

  The right-open form is useful when computing the CDF of -ξ: P(-ξ ≤ -x) = P(ξ ≥ x) = 1 - P(ξ < x) = 1 - F⁻(x).

  Because this option changes the meaning of the result it is a CharacteristicOption and is encoded into the cache key.

ComputationOption

• _fit_ppf_to_cdf_1D: n_q_grid — grid resolution for probing the PPF at fit-time. Affects only the accuracy of the table construction, not the semantic meaning of the CDF.