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[ENH] Log Laplace Distribution #374

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1 change: 1 addition & 0 deletions docs/source/api_reference/distributions.rst
Original file line number Diff line number Diff line change
Expand Up @@ -45,6 +45,7 @@ Continuous support
HalfNormal
Laplace
Logistic
LogLaplace
Normal
TDistribution
Weibull
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2 changes: 2 additions & 0 deletions skpro/distributions/__init__.py
Original file line number Diff line number Diff line change
Expand Up @@ -17,6 +17,7 @@
"IID",
"Laplace",
"Logistic",
"LogLaplace",
"LogNormal",
"Mixture",
"Normal",
Expand Down Expand Up @@ -44,6 +45,7 @@
from skpro.distributions.halfnormal import HalfNormal
from skpro.distributions.laplace import Laplace
from skpro.distributions.logistic import Logistic
from skpro.distributions.loglaplace import LogLaplace
from skpro.distributions.lognormal import LogNormal
from skpro.distributions.mixture import Mixture
from skpro.distributions.normal import Normal
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79 changes: 79 additions & 0 deletions skpro/distributions/loglaplace.py
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@@ -0,0 +1,79 @@
# copyright: skpro developers, BSD-3-Clause License (see LICENSE file)
"""Log-Laplace probability distribution."""

__author__ = ["SaiRevanth25"]

import pandas as pd
from scipy.stats import loglaplace, rv_continuous

from skpro.distributions.adapters.scipy import _ScipyAdapter


class LogLaplace(_ScipyAdapter):
r"""Log-Laplace distribution.

This distribution is univariate, without correlation between dimensions
for the array-valued case.

The log-Laplace distribution is a continuous probability distribution obtained by
taking the logarithm of the Laplace distribution, commonly used in finance and
hydrology due to its heavy tails and asymmetry.

The log-Laplace distribution is parametrized by the scale parameter
:math:`\c`, such that the pdf is

.. math:: f(x) = \frac{c}{2} x^{c-1}, \quad 0<x<1

and

.. math:: f(x) = \frac{c}{2} x^{-c-1}, \quad x >= 1

The scale parameter :math:`c` is represented by the parameter ``c``.

Parameters
----------
scale : float or array of float (1D or 2D), must be positive
scale parameter of the log-Laplace distribution
index : pd.Index, optional, default = RangeIndex
columns : pd.Index, optional, default = RangeIndex

Example
-------
>>> from skpro.distributions.loglaplace import LogLaplace

>>> ll = LogLaplace(scale=1)
"""

_tags = {
"capabilities:approx": ["pdfnorm"],
"capabilities:exact": ["mean", "var", "pdf", "log_pdf", "cdf", "ppf"],
"distr:measuretype": "continuous",
"distr:paramtype": "parametric",
"broadcast_init": "on",
}

def __init__(self, scale, index=None, columns=None):
self.scale = scale

super().__init__(index=index, columns=columns)

def _get_scipy_object(self) -> rv_continuous:
return loglaplace

def _get_scipy_param(self):
scale = self._bc_params["scale"]
return [scale], {}

@classmethod
def get_test_params(cls, parameter_set="default"):
"""Return testing parameter settings for the estimator."""
# array case examples
params1 = {"scale": [[1, 2], [3, 4]]}
params2 = {
"scale": 1,
"index": pd.Index([1, 2, 5]),
"columns": pd.Index(["a", "b"]),
}
# scalar case examples
params3 = {"scale": 2}
return [params1, params2, params3]
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