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# This file is distributed under the same license as the mars package.
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"Project-Id-Version: mars 0.5.0a2\n"
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#: ../../source/reference/tensor/generated/mars.tensor.random.weibull.rst:2
msgid "mars.tensor.random.weibull"
msgstr ""

#: mars.tensor.random.weibull:1 of
msgid "Draw samples from a Weibull distribution."
msgstr ""

#: mars.tensor.random.weibull:3 of
msgid ""
"Draw samples from a 1-parameter Weibull distribution with the given shape"
" parameter `a`."
msgstr ""

#: mars.tensor.random.weibull:6 of
msgid "X = (-ln(U))^{1/a}"
msgstr ""

#: mars.tensor.random.weibull:8 of
msgid "Here, U is drawn from the uniform distribution over (0,1]."
msgstr ""

#: mars.tensor.random.weibull:10 of
msgid ""
"The more common 2-parameter Weibull, including a scale parameter "
":math:`\\lambda` is just :math:`X = \\lambda(-ln(U))^{1/a}`."
msgstr ""

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

#: mars.tensor.random.weibull:13 of
msgid "Shape of the distribution. Should be greater than zero."
msgstr ""

#: mars.tensor.random.weibull:15 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.weibull:20 of
msgid "Desired chunk size on each dimension"
msgstr ""

#: mars.tensor.random.weibull:22 of
msgid "Allocate the tensor on GPU if True, False as default"
msgstr ""

#: mars.tensor.random.weibull:24 of
msgid "Data-type of the returned tensor."
msgstr ""

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

#: mars.tensor.random.weibull:27 of
msgid "**out** -- Drawn samples from the parameterized Weibull distribution."
msgstr ""

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

#: mars.tensor.random.weibull:30 of
msgid ""
":func:`scipy.stats.weibull_max`, :func:`scipy.stats.weibull_min`, "
":func:`scipy.stats.genextreme`, :func:`gumbel`"
msgstr ""

#: mars.tensor.random.weibull:33 of
msgid "Notes"
msgstr ""

#: mars.tensor.random.weibull:34 of
msgid ""
"The Weibull (or Type III asymptotic extreme value distribution for "
"smallest values, SEV Type III, or Rosin-Rammler distribution) is one of a"
" class of Generalized Extreme Value (GEV) distributions used in modeling "
"extreme value problems. This class includes the Gumbel and Frechet "
"distributions."
msgstr ""

#: mars.tensor.random.weibull:40 of
msgid "The probability density for the Weibull distribution is"
msgstr ""

#: mars.tensor.random.weibull:42 of
msgid "p(x) = \\frac{a} {\\lambda}(\\frac{x}{\\lambda})^{a-1}e^{-(x/\\lambda)^a},"
msgstr ""

#: mars.tensor.random.weibull:45 of
msgid "where :math:`a` is the shape and :math:`\\lambda` the scale."
msgstr ""

#: mars.tensor.random.weibull:47 of
msgid ""
"The function has its peak (the mode) at "
":math:`\\lambda(\\frac{a-1}{a})^{1/a}`."
msgstr ""

#: mars.tensor.random.weibull:50 of
msgid ""
"When ``a = 1``, the Weibull distribution reduces to the exponential "
"distribution."
msgstr ""

#: mars.tensor.random.weibull:54 of
msgid "References"
msgstr ""

#: mars.tensor.random.weibull:55 of
msgid ""
"Waloddi Weibull, Royal Technical University, Stockholm, 1939 \"A "
"Statistical Theory Of The Strength Of Materials\", "
"Ingeniorsvetenskapsakademiens Handlingar Nr 151, 1939, Generalstabens "
"Litografiska Anstalts Forlag, Stockholm."
msgstr ""

#: mars.tensor.random.weibull:59 of
msgid ""
"Waloddi Weibull, \"A Statistical Distribution Function of Wide "
"Applicability\", Journal Of Applied Mechanics ASME Paper 1951."
msgstr ""

#: mars.tensor.random.weibull:62 of
msgid ""
"Wikipedia, \"Weibull distribution\", "
"http://en.wikipedia.org/wiki/Weibull_distribution"
msgstr ""

#: mars.tensor.random.weibull:66 of
msgid "Examples"
msgstr ""

#: mars.tensor.random.weibull:67 of
msgid "Draw samples from the distribution:"
msgstr ""

#: mars.tensor.random.weibull:74 of
msgid ""
"Display the histogram of the samples, along with the probability density "
"function:"
msgstr ""

