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        "author": "Danilo Horta",
        "author_email": "horta@ebi.ac.uk",
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        "classifiers": [
            "Development Status :: 5 - Production/Stable",
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            "License :: OSI Approved :: MIT License",
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            "Programming Language :: Python"
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        "description": "# chi2comb\n\n[![Travis](https://img.shields.io/travis/com/limix/chi2comb-py.svg?style=flat-square&label=linux%20%2F%20macos%20build)](https://travis-ci.com/limix/chi2comb-py) [![AppVeyor](https://img.shields.io/appveyor/ci/Horta/chi2comb-py.svg?style=flat-square&label=windows%20build)](https://ci.appveyor.com/project/Horta/chi2comb-py)\n\nThis package estimates cumulative density functions of linear combinations of\nindependent noncentral \u03c7\u00b2 random variables and a standard Normal distribution.\nFormally, it estimates P[Q<q], where:\n\n    Q = \u03bb\u2081X\u2081 + ... + \u03bb\u2099X\u2099 + \u03c3X\u2080.\n\nX\u1d62 (\ud835\ude92\u2260\ud835\udff6) is an independent random variable following a noncentral \u03c7\u00b2 distribution with\nn\u1d62 degrees of freedom and noncentrality parameter \u03bb\u1d62.\nX\u2080 is an independent random variable having a standard Normal distribution.\n\n## Install\n\nIt can be installed using the pip command\n\n```bash\npip install chi2comb\n```\n\n## Usage\n\n\nConsider the following linear combination of four random variables:\n\n    Q = 6\u22c5X\u2081 + 3\u22c5X\u2082 + 1\u22c5X\u2083 + 2\u22c5X\u2080,\n\nwhere X\u2081, X\u2082, and X\u2083 are noncentral \u03c7\u00b2 random variables having degrees of freedom\nn\u2081=n\u2082=1 and n\u2083=2 and noncentrality parameters \u03bb\u2081=0.5 and \u03bb\u2082=\u03bb\u2083=0.\nLet us estimate P[Q<1]:\n\n```python\n>>> from chi2comb import chi2comb_cdf, ChiSquared\n>>>\n>>> gcoef = 2\n>>> ncents = [0.5, 0, 0]\n>>> q = 1\n>>> dofs = [1, 1, 2]\n>>> coefs = [6, 3, 1]\n>>> chi2s = [ChiSquared(coefs[i], ncents[i], dofs[i]) for i in range(3)]\n>>> result, errno, info = chi2comb_cdf(q, chi2s, gcoef)\n>>> result\n0.050870657088644244\n>>> errno\n0\n>>> info\nInfo(emag=0.6430413191446991, niterms=43, nints=1, intv=0.03462571527167856, truc=1.4608856930426104, sd=0.0, ncycles=21)\n```\n\nThe estimated value is P[Q<1] \u2248 0.0587.\n\n## Problems\n\nIf you encounter any issue, please, [submit it](https://github.com/limix/chi2comb-py/issues/new).\n\n## Authors\n\n* [Danilo Horta](https://github.com/horta)\n\n## License\n\nThis project is licensed under the [MIT License](https://raw.githubusercontent.com/limix/chi2comb-py/master/LICENSE.md).\n\n\n",
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