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  "Title": "Multivariate Normal Probabilities using Vecchia Approximation",
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  "Authors@R": "c(person(\"Jian Cao\", role = c(\"aut\", \"cre\"), email = \"jcao2416@gmail.com\"),\nperson(\"Matthias Katzfuss\", role = \"aut\"))",
  "Author": "Jian Cao [aut, cre], Matthias Katzfuss [aut]",
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  "Description": "Under a different representation of the multivariate\nnormal (MVN) probability, we can use the Vecchia approximation\nto sample the integrand at a linear complexity with respect to\nn. Additionally, both the SOV algorithm from Genz (92) and the\nexponential-tilting method from Botev (2017) can be adapted to\nlinear complexity. The reference for the method implemented in\nthis package is Jian Cao and Matthias Katzfuss (2024)\n\"Linear-Cost Vecchia Approximation of Multivariate Normal\nProbabilities\" <doi:10.48550/arXiv.2311.09426>. Two major\nreferences for the development of our method are Alan Genz\n(1992) \"Numerical Computation of Multivariate Normal\nProbabilities\" <doi:10.1080/10618600.1992.10477010> and Z. I.\nBotev (2017) \"The Normal Law Under Linear Restrictions:\nSimulation and Estimation via Minimax Tilting\"\n<doi:10.48550/arXiv.1603.04166>.",
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      "title": "Univariate ordering under FIC approximation, first m chosen by m iter of dense univariate reordering",
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    },
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      "title": "Find ordered nearest neighbors based on a correlation Matrix. Assuming the absolute value of the correlation is monotonically decreasing with distance. Returns an n X (m + 1) matrix similar to `GpGp::find_ordered_nn`.",
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        "find_nn_corr"
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      "page": "loglk_censor_MVN",
      "title": "Compute censored multivariate normal (MVN) log-probabilities that have spatial covariance matrices using Vecchia approximation",
      "topics": [
        "loglk_censor_MVN"
      ]
    },
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    },
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      "title": "Applying the multi-level Monte Carlo (MLMC) technique to the pmvt function The function uses 'NLevel1 = 1' for 'm = m2' and the same exponential tilting parameter as 'm = m1' to compute one MC estimate. This MC estimate is used to correct the bias from the Vecchia approximation",
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