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  "Title": "Generalized Linear Mixed Models via Fully Exponential Laplace in\nEM",
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  "Date": "2026-01-07",
  "Authors@R": "person(given = \"Andrew T.\",\nfamily = \"Karl\",\nemail = \"akarl@asu.edu\",\nrole = c(\"cre\", \"aut\"),\ncomment = c(ORCID = \"0000-0002-5933-8706\"))",
  "Description": "Fit generalized linear mixed models (GLMMs) with normal\nrandom effects using first-order Laplace, fully exponential\nLaplace (FEL) with mean-only corrections, and FEL with mean and\ncovariance corrections in the E-step of an\nexpectation-maximization (EM) algorithm. The current\ndevelopment version provides a matrix-based interface (y, X, Z)\nand supports binary logit and probit, and Poisson log-link\nmodels. An EM framework is used to update fixed effects, random\neffects, and a single variance component tau^2 for G = tau^2 I,\nwith staged approximations (Laplace -> FEL mean-only -> FEL\nfull) for efficiency and stability. A pseudo-likelihood engine\nglmmFEL_pl() implements the working-response / working-weights\nlinearization approach of Wolfinger and O'Connell (1993)\n<doi:10.1080/00949659308811554>, and is adapted from the\nimplementation used in the 'RealVAMS' package (Broatch, Green,\nand Karl (2018)) <doi:10.32614/RJ-2018-033>. The FEL\nimplementation follows Karl, Yang, and Lohr (2014)\n<doi:10.1016/j.csda.2013.11.019> and related work (e.g.,\nTierney, Kass, and Kadane (1989)\n<doi:10.1080/01621459.1989.10478824>; Rizopoulos, Verbeke, and\nLesaffre (2009) <doi:10.1111/j.1467-9868.2008.00704.x>; Steele\n(1996) <doi:10.2307/2532845>). Package code was drafted with\nassistance from generative AI tools.",
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      "title": "glmmFEL: Generalized Linear Mixed Models via Fully Exponential Laplace in EM",
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      ]
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        "glmmFEL"
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