bgw: Bunch-Gay-Welsch Statistical Estimation
Performs statistical estimation and inference-related computations
   by accessing and executing modified versions of 'Fortran' subroutines 
   originally published in the Association for Computing Machinery (ACM) 
   journal Transactions on Mathematical Software (TOMS) by Bunch, Gay and 
   Welsch (1993) <doi:10.1145/151271.151279>. The acronym 'BGW' (from the 
   authors' last names) will be used when making reference to technical 
   content (e.g., algorithm, methodology) that originally appeared in ACM TOMS.
   A key feature of BGW is that it exploits the special structure of statistical 
   estimation problems within a trust-region-based optimization approach to 
   produce an estimation algorithm that is much more effective than the usual 
   practice of using optimization methods and codes originally developed for 
   general optimization. The 'bgw' package bundles 'R' wrapper (and related) 
   functions with modified 'Fortran' source code so that it can be compiled and 
   linked in the 'R' environment for fast execution. This version implements 
   a function ('bgw_mle.R') that performs maximum likelihood estimation (MLE) 
   for a user-provided model object that computes probabilities (a.k.a. 
   probability densities). The original motivation for producing this package 
   was to provide fast, efficient, and reliable MLE for discrete choice models 
   that can be called from the 'Apollo' choice modelling 'R' package ( 
   see <http://www.apollochoicemodelling.com>). Starting with the release of 
   Apollo 3.0, BGW is the default estimation package. However, estimation can also 
   be performed using BGW in a stand-alone fashion without using 'Apollo' 
   (as shown in simple examples included in the package). Note also that BGW 
   capabilities are not limited to MLE, and future extension to other estimators 
   (e.g., nonlinear least squares, generalized method of moments, etc.) is possible. 
   The 'Fortran' code included in 'bgw' was modified by one of the 
   original BGW authors (Bunch) under his rights as confirmed by direct 
   consultation with the ACM Intellectual Property and Rights Manager.  See 
   <https://authors.acm.org/author-resources/author-rights>. The main 
   requirement is clear citation of the original publication (see above). 
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