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# This file is distributed under the same license as the mars package.
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#: ../../source/reference/tensor/generated/mars.tensor.random.pareto.rst:2
msgid "mars.tensor.random.pareto"
msgstr ""

#: mars.tensor.random.pareto:1 of
msgid "Draw samples from a Pareto II or Lomax distribution with specified shape."
msgstr ""

#: mars.tensor.random.pareto:4 of
msgid ""
"The Lomax or Pareto II distribution is a shifted Pareto distribution. The"
" classical Pareto distribution can be obtained from the Lomax "
"distribution by adding 1 and multiplying by the scale parameter ``m`` "
"(see Notes).  The smallest value of the Lomax distribution is zero while "
"for the classical Pareto distribution it is ``mu``, where the standard "
"Pareto distribution has location ``mu = 1``.  Lomax can also be "
"considered as a simplified version of the Generalized Pareto distribution"
" (available in SciPy), with the scale set to one and the location set to "
"zero."
msgstr ""

#: mars.tensor.random.pareto:15 of
msgid ""
"The Pareto distribution must be greater than zero, and is unbounded "
"above.  It is also known as the \"80-20 rule\".  In this distribution, 80"
" percent of the weights are in the lowest 20 percent of the range, while "
"the other 20 percent fill the remaining 80 percent of the range."
msgstr ""

#: mars.tensor.random.pareto of
msgid "Parameters"
msgstr ""

#: mars.tensor.random.pareto:21 of
msgid "Shape of the distribution. Should be greater than zero."
msgstr ""

#: mars.tensor.random.pareto:23 of
msgid ""
"Output shape.  If the given shape is, e.g., ``(m, n, k)``, then ``m * n *"
" k`` samples are drawn.  If size is ``None`` (default), a single value is"
" returned if ``a`` is a scalar.  Otherwise, ``mt.array(a).size`` samples "
"are drawn."
msgstr ""

#: mars.tensor.random.pareto:28 of
msgid "Desired chunk size on each dimension"
msgstr ""

#: mars.tensor.random.pareto:30 of
msgid "Allocate the tensor on GPU if True, False as default"
msgstr ""

#: mars.tensor.random.pareto:32 of
msgid "Data-type of the returned tensor."
msgstr ""

#: mars.tensor.random.pareto of
msgid "Returns"
msgstr ""

#: mars.tensor.random.pareto:35 of
msgid "**out** -- Drawn samples from the parameterized Pareto distribution."
msgstr ""

#: mars.tensor.random.pareto of
msgid "Return type"
msgstr ""

#: mars.tensor.random.pareto:41 of
msgid ":func:`scipy.stats.lomax`"
msgstr ""

#: mars.tensor.random.pareto:41 mars.tensor.random.pareto:44 of
msgid ""
"probability density function, distribution or cumulative density "
"function, etc."
msgstr ""

#: mars.tensor.random.pareto:43 of
msgid ":func:`scipy.stats.genpareto`"
msgstr ""

#: mars.tensor.random.pareto:47 of
msgid "Notes"
msgstr ""

#: mars.tensor.random.pareto:48 of
msgid "The probability density for the Pareto distribution is"
msgstr ""

#: mars.tensor.random.pareto:50 of
msgid "p(x) = \\frac{am^a}{x^{a+1}}"
msgstr ""

#: mars.tensor.random.pareto:52 of
msgid "where :math:`a` is the shape and :math:`m` the scale."
msgstr ""

#: mars.tensor.random.pareto:54 of
msgid ""
"The Pareto distribution, named after the Italian economist Vilfredo "
"Pareto, is a power law probability distribution useful in many real world"
" problems.  Outside the field of economics it is generally referred to as"
" the Bradford distribution. Pareto developed the distribution to describe"
" the distribution of wealth in an economy.  It has also found use in "
"insurance, web page access statistics, oil field sizes, and many other "
"problems, including the download frequency for projects in Sourceforge "
"[1]_.  It is one of the so-called \"fat-tailed\" distributions."
msgstr ""

#: mars.tensor.random.pareto:66 of
msgid "References"
msgstr ""

#: mars.tensor.random.pareto:67 of
msgid ""
"Francis Hunt and Paul Johnson, On the Pareto Distribution of Sourceforge "
"projects."
msgstr ""

#: mars.tensor.random.pareto:69 of
msgid "Pareto, V. (1896). Course of Political Economy. Lausanne."
msgstr ""

#: mars.tensor.random.pareto:70 of
msgid ""
"Reiss, R.D., Thomas, M.(2001), Statistical Analysis of Extreme Values, "
"Birkhauser Verlag, Basel, pp 23-30."
msgstr ""

#: mars.tensor.random.pareto:72 of
msgid ""
"Wikipedia, \"Pareto distribution\", "
"http://en.wikipedia.org/wiki/Pareto_distribution"
msgstr ""

#: mars.tensor.random.pareto:76 of
msgid "Examples"
msgstr ""

#: mars.tensor.random.pareto:77 of
msgid "Draw samples from the distribution:"
msgstr ""

#: mars.tensor.random.pareto:84 of
msgid ""
"Display the histogram of the samples, along with the probability density "
"function:"
msgstr ""

