{
  "__type": "IngestedDoc",
  "__tag": 4010,
  "_content": {
    "Notes": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "The probability density function for "
            },
            {
              "__type": "InlineRole",
              "__tag": 4003,
              "value": "laplace_asymmetric",
              "domain": null,
              "role": null,
              "inventory": null
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " is"
            }
          ]
        },
        {
          "__type": "Math",
          "__tag": 4058,
          "value": "f(x, \\kappa) &= \\frac{1}{\\kappa+\\kappa^{-1}}\\exp(-x\\kappa),\\quad x\\ge0\\\\\n             &= \\frac{1}{\\kappa+\\kappa^{-1}}\\exp(x/\\kappa),\\quad x<0\\\\"
        },
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "for "
            },
            {
              "__type": "InlineMath",
              "__tag": 4057,
              "value": "-\\infty < x < \\infty"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": ", "
            },
            {
              "__type": "InlineMath",
              "__tag": 4057,
              "value": "\\kappa > 0"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "."
            }
          ]
        },
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "InlineRole",
              "__tag": 4003,
              "value": "laplace_asymmetric",
              "domain": null,
              "role": null,
              "inventory": null
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " takes "
            },
            {
              "__type": "InlineCode",
              "__tag": 4051,
              "value": "kappa"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " as a shape parameter for "
            },
            {
              "__type": "InlineMath",
              "__tag": 4057,
              "value": "\\kappa"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": ". For "
            },
            {
              "__type": "InlineMath",
              "__tag": 4057,
              "value": "\\kappa = 1"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": ", it is identical to a Laplace distribution."
            }
          ]
        },
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "%(after_notes)s"
            }
          ]
        },
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "Note that the scale parameter of some references is the reciprocal of SciPy's "
            },
            {
              "__type": "InlineCode",
              "__tag": 4051,
              "value": "scale"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": ". For example, "
            },
            {
              "__type": "InlineMath",
              "__tag": 4057,
              "value": "\\lambda = 1/2"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " in the parameterization of "
            },
            {
              "__type": "FootnoteReference",
              "__tag": 4066,
              "label": "1"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " is equivalent to "
            },
            {
              "__type": "InlineCode",
              "__tag": 4051,
              "value": "scale = 2"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " with "
            },
            {
              "__type": "InlineRole",
              "__tag": 4003,
              "value": "laplace_asymmetric",
              "domain": null,
              "role": null,
              "inventory": null
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "."
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Warns": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Raises": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Yields": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Methods": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Returns": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Summary": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "An asymmetric Laplace continuous random variable."
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Receives": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Warnings": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Attributes": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Parameters": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Extended Summary": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "%(before_notes)s"
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Other Parameters": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    }
  },
  "_ordered_sections": [
    "Summary",
    "Extended Summary",
    "Parameters",
    "Attributes",
    "Methods",
    "Returns",
    "Yields",
    "Receives",
    "Other Parameters",
    "Raises",
    "Warns",
    "Warnings",
    "Notes"
  ],
  "item_file": "/scipy/stats/_continuous_distns.py",
  "item_line": 6113,
  "item_type": "class",
  "aliases": [
    "scipy.stats._continuous_distns.laplace_asymmetric_gen"
  ],
  "example_section_data": {
    "__type": "Section",
    "__tag": 4015,
    "children": [],
    "title": [],
    "level": 0,
    "target": null
  },
  "see_also": [
    {
      "__type": "SeeAlsoItem",
      "__tag": 4028,
      "name": {
        "__type": "CrossRef",
        "__tag": 4002,
        "value": "laplace",
        "reference": {
          "__type": "LocalRef",
          "__tag": 4022,
          "kind": "module",
          "path": "scipy.ndimage._filters:laplace"
        },
        "kind": "module"
      },
      "descriptions": [
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "Laplace distribution"
            }
          ]
        }
      ],
      "type": null
    }
  ],
  "signature": {
    "__type": "SignatureNode",
    "__tag": 4029,
    "kind": "function",
    "parameters": [
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "momtype",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "1"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "a",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "None"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "b",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "None"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "xtol",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "1e-14"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "badvalue",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "None"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "name",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "None"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "longname",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "None"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "shapes",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "None"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "seed",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "None"
      }
    ],
    "return_annotation": {
      "__type": "Empty",
      "__tag": 4031
    },
    "target_name": "laplace_asymmetric_gen"
  },
  "references": [
    ".. [1] \"Asymmetric Laplace distribution\", Wikipedia",
    "        https://en.wikipedia.org/wiki/Asymmetric_Laplace_distribution",
    "",
    ".. [2] Kozubowski TJ and Podgórski K. A Multivariate and",
    "       Asymmetric Generalization of Laplace Distribution,",
    "       Computational Statistics 15, 531--540 (2000).",
    "       :doi:`10.1007/PL00022717`",
    "",
    "%(example)s"
  ],
  "qa": "scipy.stats._continuous_distns:laplace_asymmetric_gen",
  "arbitrary": [],
  "local_refs": []
}