ional Defines dimension of uniform quasi-random variates to be transformed. Default is ``None``. qmc_engine : scipy.stats.qmc.QMCEngine(d=1), optional Defines the object to use for drawing quasi-random variates. Default is ``None``, which uses `scipy.stats.qmc.Halton(1)`. Returns ------- rvs : ndarray or scalar Quasi-random variates. See Notes for shape information. Notes ----- The shape of the output array depends on `size`, `d`, and `qmc_engine`. The intent is for the interface to be natural, but the detailed rules to achieve this are complicated. - If `qmc_engine` is ``None``, a `scipy.stats.qmc.Halton` instance is created with dimension `d`. If `d` is not provided, ``d=1``. - If `qmc_engine` is not ``None`` and `d` is ``None``, `d` is determined from the dimension of the `qmc_engine`. - If `qmc_engine` is not ``None`` and `d` is not ``None`` but the dimensions are inconsistent, a ``ValueError`` is raised. - After `d` is determined according to the rules above, the output shape is ``tuple_shape + d_shape``, where: - ``tuple_shape = tuple()`` if `size` is ``None``, - ``tuple_shape = (size,)`` if `size` is an ``int``, - ``tuple_shape = size`` if `size` is a sequence, - ``d_shape = tuple()`` if `d` is ``None`` or `d` is 1, and - ``d_shape = (d,)`` if `d` is greater than 1. The elements of the returned array are part of a low-discrepancy sequence. If `d` is 1, this means that none of the samples are truly independent. If `d` > 1, each slice ``rvs[..., i]`` will be of a quasi-independent sequence; see `scipy.stats.qmc.QMCEngine` for details. Note that when `d` > 1, the samples returned are still those of the provided univariate distribution, not a multivariate generalization of that distribution. ©