pyuncertainnumber.pba.imprecise
===============================

.. py:module:: pyuncertainnumber.pba.imprecise


Functions
---------

.. autoapisummary::

   pyuncertainnumber.pba.imprecise.imprecise_ecdf_sps
   pyuncertainnumber.pba.imprecise.imprecise_ecdf


Module Contents
---------------

.. py:function:: imprecise_ecdf_sps(s: pyuncertainnumber.pba.intervals.Interval) -> tuple[pyuncertainnumber.pba.ecdf.eCDF_bundle, pyuncertainnumber.pba.ecdf.eCDF_bundle]

   empirical cdf for interval valued data

   caveat:
       with the use of `sps.ecdf`, the probability value does not start from 0.

   :returns:

             - left and right cdfs
             - pbox


.. py:function:: imprecise_ecdf(s: pyuncertainnumber.pba.intervals.Interval, output_type: str = 'ecdf') -> tuple[pyuncertainnumber.pba.ecdf.eCDF_bundle, pyuncertainnumber.pba.ecdf.eCDF_bundle]

   Empirical cdf for interval-valued data set

   :param s: interval valued data set
   :type s: Interval
   :param output_type: the output type, either "pbox" or "ecdf"
   :type output_type: str

   :returns:

             - A tuple of left and right bounding cdf

   .. rubric:: Example

   >>> rng = np.random.default_rng(seed=42)
   >>> precise_data = rng.normal(0, 1, 10)  # precise data case
   >>> impre_data = pba.I(lo = precise_data -0.5, hi = precise_data + 0.5)
   >>> l, r = imprecise_ecdf(s=impre_data, output_type="ecdf")