

@ARTICLE{Furr:Beng:07,
    AUTHOR = {Furrer, R. and Bengtsson, T.},
      YEAR = {2007},
     TITLE = {Estimation of High-dimensional Prior and Posteriori Covariance Matrices in Kalman Filter Variants},
   JOURNAL = {J. Multivariate Anal.},
  FJOURNAL = {Journal of Multivariate Analysis},
    VOLUME = {98},
    NUMBER = {2},
     PAGES = {227-255},
       DOI = {10.1016/j.jmva.2006.08.003},
}
@ARTICLE{Besa:74,
author={J. Besag},
title={Spatial Interaction and the Statistical Analysis of Lattice Systems (with discussion)},
sjournal={J Roy. Statist. Soc. Ser. B},
journal={Journal of the Royal Statistical Society, Series B},
volume={36},
number={2},
year={1974},
pages = {192-225},
}

@book{Duff:Eris:Reid:86,
 author = {Iain S Duff and Albert M Erisman and John K Reid},
 title = {Direct methods for sparse matrices},
 year = {1986},
 isbn = {0-198-53408-6},
 publisher = {Oxford University Press, Inc.},
 address = {New York, NY, USA},
 }
@phdthesis{Geor:71,
 author = {John Alan George},
 title = {Computer implementation of the finite element method},
 year = {1971},
 order_no = {AAI7205916},
 school = {Stanford University},
 address = {Stanford, CA, USA},
 }
@article{Liu:85,
 author = {Joseph W. H. Liu},
 title = {Modification of the minimum-degree algorithm by multiple elimination},
 sjournal = {ACM Trans. Math. Softw.},
 journal = {ACM Transactions on Mathematical Software (TOMS)}, 
 volume = {11},
 number = {2},
 year = {1985},
 issn = {0098-3500},
 pages = {141--153},
 doi = {10.1145/214392.214398},
 publisher = {ACM},
 address = {New York, NY, USA},
 }
@article{Geor:Ng:84,
 author = {Alan George and Esmond Ng},
 title = {A new release of SPARSPAK: the Waterloo sparse matrix package},
 sjournal = {SIGNUM Newsl.},
 journal = {ACM SIGNUM Newsletter},
 volume = {19},
 number = {4},
 year = {1984},
 issn = {0163-5778},
 pages = {9--13},
 doi = {10.1145/1057931.1057933},
 publisher = {ACM},
 address = {New York, NY, USA},
 }

@article{Geor:Ng:81,
 author = {Alan George and Esmond Ng},
 title = {A brief description of SPARSPAK Waterloo sparse linear equations package},
 sjournal = {SIGNUM Newsl.},
 journal = {ACM SIGNUM Newsletter},
 volume = {16},
 number = {2},
 year = {1981},
 issn = {0163-5778},
 pages = {17--20},
 doi = {10.1145/1057562.1057566},
 publisher = {ACM},
 address = {New York, NY, USA},
 }

@phdthesis{Sher:75,
 author = {Andrew Harry Sherman},
 title = {On the efficient solution of sparse systems of linear and nonlinear equations.},
 year = {1975},
 order_no = {AAI7613692},
 school = {Yale University},
 address = {New Haven, CT, USA},
 }


@Article{Luml:04,
  author = 	 {Thomas Lumley},
  title = 	 {Programmers' niche: A simple class, in {S3 and S4}},
  journal = 	 {R News},
  year = 	 {2004},
  volume = 	 {4\rm (1)},
  number = 	 {1},
  pages = 	 {33-36},
}

@article{Davi:04,
 author = {Timothy A. Davis},
 title = {{Algorithm 832: UMFPACK V4.3}---an unsymmetric-pattern multifrontal method},
 sjournal = {ACM Trans. Math. Softw.},
 journal = {ACM Transactions on Mathematical Software (TOMS)},
 volume = {30},
 number = {2},
 year = {2004},
 issn = {0098-3500},
 pages = {196--199},
 doi = {10.1145/992200.992206},
 publisher = {ACM},
 address = {New York, NY, USA},
 }
@Manual{Goul:Hu:Scot:05b,
  author = 	 {N. I. M. Gould and Y. Hu and J. A. Scott},
  title = 	 {Complete results for a numerical evaluation of sparse
direct solvers for the solution of large, sparse, symmetric linear systems of equations},
  year = 	 {2005},
  note = 	 {Numerical Analysis Internal Report 2005-1 (revision 2). Rutherford Appleton Laboratory. Available from \url{http://www.numerical.rl.ac.uk/reports/reports.shtml}},
}
@TechReport{Goul:Hu:Scot:05a,
  author = 	 {N. I. M. Gould and Y. Hu and J. A. Scott},
  title = 	 {A numerical evaluation of sparse direct symmetric solvers for the solution of large sparse, symmetric linear systems of equations},
  institution =  {RAL-TR-2005-005. Rutherford Appleton Laboratory},
  year = 	 {2005},
  note = 	 {Available from \url{http://www.numerical.rl.ac.uk/reports/reports.shtml}},
}

@article{Liu:92,
 author = {Joseph W. H. Liu},
 title = {The multifrontal method for sparse matrix solution: theory and practice},
 sjournal = {SIAM Rev.},
 journal = {SIAM Review},
 volume = {34},
 number = {1},
 year = {1992},
 issn = {0036-1445},
 pages = {82--109},
 doi = {10.1137/1034004},
 publisher = {Society for Industrial and Applied Mathematics},
 address = {Philadelphia, PA, USA},
 }
@article{Ng:Peyt:93b,
 author = {Esmond Ng and Barry W. Peyton},
 title = {A supernodal {C}holesky factorization algorithm for shared-memory multiprocessors},
 sjournal = {SIAM J. Sci. Comput.},
 journal = {SIAM Journal on Scientific Computing},
 volume = {14},
 number = {4},
 year = {1993},
 issn = {1064-8275},
 pages = {761--769},
 doi = {10.1137/0914048},
 publisher = {Society for Industrial and Applied Mathematics},
 address = {Philadelphia, PA, USA},
 }
@article{Gilb:Ng:Peyt:94,
 author = {John R. Gilbert and Esmond G. Ng and Barry W. Peyton},
 title = {An Efficient Algorithm to Compute Row and Column Counts for Sparse {C}holesky Factorization},
 sjournal = {SIAM J. Matrix Anal. Appl.},
 journal = {SIAM Journal on Matrix Analysis and Applications},
 volume = {15},
 number = {4},
 year = {1994},
 issn = {0895-4798},
 pages = {1075--1091},
 doi = {10.1137/S0895479892236921},
 publisher = {Society for Industrial and Applied Mathematics},
 address = {Philadelphia, PA, USA},
}

@article{Liu:Ng:Peyt:93,
 author = {Joseph W. H. Liu and Esmond G. Ng and Barry W. Peyton},
 title = {On finding supernodes for sparse matrix computations},
 sjournal = {SIAM J. Matrix Anal. Appl.},
 journal = {SIAM Journal on Matrix Analysis and Applications},
 volume = {14},
 number = {1},
 year = {1993},
 issn = {0895-4798},
 pages = {242--252},
 doi = {10.1137/0614019},
 publisher = {Society for Industrial and Applied Mathematics},
 address = {Philadelphia, PA, USA},
 }

@article{Ng:Peyt:93,
 author = {Esmond G. Ng and Barry W. Peyton},
 title = {Block sparse {C}holesky algorithms on advanced uniprocessor computers},
 sjournal = {SIAM J. Sci. Comput.},
 journal = {SIAM Journal on Scientific Computing},
 volume = {14},
 number = {5},
 year = {1993},
 issn = {1064-8275},
 pages = {1034--1056},
 doi = {10.1137/0914063},
 publisher = {Society for Industrial and Applied Mathematics},
 address = {Philadelphia, PA, USA},
 }

@Book{golu:vanL:96,
  author = 	 {Golub and van Loan},
  title = 	 {Matrix Computations},
  publisher = 	 {Johns Hopkins University Press, Baltimore},
  year = 	 {1996},
  edition = 	 {3rd},
}

@book{Cham:93,
 author = {John M. Chambers},
 title = {Programming with Data: A Guide to the S Language},
 year = {1998},
 isbn = {0387985034},
 publisher = {Springer-Verlag New York, Inc.},
 address = {Secaucus, NJ, USA},
 }
@Book{Rue:Held:05,
  author = 	 {H. Rue and L. Held},
  title = 	 {Gaussian Markov Random Fields: Theory and Applications},
  publisher = 	 {Chapman \& Hall, London},
  year = 	 {2005},
}

@Manual{Saad:94,
  title = 	 {SPARSEKIT: A basic tool kit for sparse matrix computations},
  author = 	 {Saad, Y.},
  note = 	 {Available at \url{http://www-users.cs.umn.edu/~saad/software/SPARSKIT/sparskit.html}},
  year = 	 {1994},
}


@article{Furr:Sain:etal:07,
  AUTHOR=   {Furrer, R. and  Sain, S. R. and Nychka, D. W. and Meehl, G. A.},
  TITLE=        {Multivariate {B}ayesian Analysis of Atmosphere-Ocean General
               Circulation Models},
  YEAR=         {2007},
   JOURNAL = {Environ. Ecol. Stat.},
  FJOURNAL = {Environmental and Ecological Statistics},
    VOLUME = {14},
    NUMBER = {3},
     PAGES = {249-266},
doi={10.1007/s10651-007-0018-z},
}

@article{Furr:Knut:etal:07,
  author =       {Furrer, R. and Knutti, R. and Sain, S. R. and Nychka, D. W. and
                  Meehl, G. A.},
  title =        {Spatial patterns of probabilistic temperature change
      projections from a multivariate {B}ayesian analysis},
  year =         {2007},
   JOURNAL = {Geophys. Res. Lett.},
  FJOURNAL = {Geophysical Research Letters},
    VOLUME = {34},
     PAGES = {L06711},
doi={10.1029/2006GL027754},
}

@book{Scot:92,
  author = {David W. Scott},
  title = {Multivariate Density Estimation: Theory, Practice, and Visualization},
  publisher = {John Wiley \& Sons Inc.},
  year = {1992},
}

@article {Stei:99:PRF,
    AUTHOR = {Stein, Michael L.},
     TITLE = {Predicting random fields with increasing dense observations},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {9},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {242--273},
}
@article {Stei:90,
    AUTHOR = {Stein, Michael L.},
     TITLE = {Uniform asymptotic optimality of linear predictions of a
              random field using an incorrect second-order structure},
   JOURNAL = {Ann. Statist.},
  FJOURNAL = {The Annals of Statistics},
    VOLUME = {18},
      YEAR = {1990},
    NUMBER = {2},
     PAGES = {850--872},
}
@article {Stei:93,
    AUTHOR = {Stein, Michael L.},
     TITLE = {A simple condition for asymptotic optimality of linear
              predictions of random fields},
   JOURNAL = {Statist. Probab. Lett.},
  FJOURNAL = {Statistics \& Probability Letters},
    VOLUME = {17},
      YEAR = {1993},
    NUMBER = {5},
     PAGES = {399--404},
}
@Book{Horn:John:94,
  author =       "R. A. Horn and C. R. Johnson",
  title =        "Topics in Matrix Analysis",
  note =         "Corrected reprint of the 1991 original",
  publisher =    "Cambridge University Press",
  address =      "Cambridge",
  year =         "1994",
  pages =        "viii+607",
}
@article {Wu:95,
    AUTHOR = {Wu, Zong Min},
     TITLE = {Compactly supported positive definite radial functions},
   JOURNAL = {Adv. Comput. Math.},
  FJOURNAL = {Advances in Computational Mathematics},
    VOLUME = {4},
      YEAR = {1995},
    NUMBER = {3},
     PAGES = {283--292},
}

@Article{Gnei:99,
  author =       "Gneiting, T",
  title =        "Correlation functions for atmospheric data analysis",
  fjournal =     "Quarterly Journal of the Royal Meteorological Society",
  journal =     "Q. J. Roy. Meteor. Soc.",
  volume =       "125",
  year =         "1999",
  pages =        "2449-2464",
}

@article {Gnei:02,
    AUTHOR = {Gneiting, Tilmann},
     TITLE = {Compactly supported correlation functions},
  SJOURNAL = {J. Multivariate Anal.},
   JOURNAL = {Journal of Multivariate Analysis},
    VOLUME = {83},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {493--508},
}


@Article{Wend:95,
  author = 	 {Wendland, H.},
  title = 	 {Piecewise polynomial, positive definite and compactly supported
  radial functions of minimal degree},
  journal = 	 {Advances in Computational Mathematics},
 sjournal = 	 {Adv. Comput. Math.},
  year = 	 {1995},
  volume = 	 {4},
  pages = 	 {389--396},
}

@ARTICLE{Furr:Sain:10,
    AUTHOR = {Furrer, R. and Sain, S. R.},
      YEAR = {2010},
     TITLE = {{spam}: {A} Sparse Matrix {R} Package with Emphasis on {MCMC} Methods for {G}aussian {M}arkov Random Fields},
   JOURNAL = {Journal of Statistical Software},
  FJOURNAL = {Journal of Statistical Software},
    VOLUME = {36},
    NUMBER = {10},
     PAGES = {1--25},
       URL = {https://www.jstatsoft.org/v36/i10/},
}

@Manual{Nych:07,
    title = {fields: Tools for spatial data},
    author = {Doug Nychka},
    year = {2007},
    note = {R package version 4.1. \url{http://www.image.ucar.edu/GSP/Software/Fields}},
  }
@Manual{Mink:06,
    title = {maps: Draw Geographical Maps},
    author = {Thomas P Minka},
    year = {2006},
    note = {Original S code by Richard A. Becker and Allan R. Wilks. R version by Ray Brownrigg Enhancements by Thomas P Minka. R package version 2.0-31},
  }

@Manual{Bates:06,
    title = {Matrix: A Matrix package for R},
    author = {Douglas Bates and Martin Maechler},
    year = {2006},
    note = {R package version 0.995-12},
  }




@MANUAL{Koen:Ng:03,
   author = "Roger Koenker and Pin Ng",
   title = "{SparseM: Sparse Matrix Package for R}",
   year = 2003,
   note = {\url{http://www.econ.uiuc.edu/~roger/research/sparse/SparseM.pdf}}, 
}


@Article{Furr:Gent:Nych:06,
  author =       "R. Furrer and M. G. Genton and D. Nychka",
  title =        "Covariance Tapering for Interpolation of Large Spatial Datasets",
  journal =     "J. Comput. Graph. Statist.",
  fjournal =     "Journal of Computational and Graphical Statistics",
  year =         "2006",
  volume =  {15}, 
  number = {3}, 
  pages = {502--523},
}

@Book{Cres:93,
  author =       "N. A. C. Cressie",
  title =        "Statistics for Spatial Data",
  note =         "Revised reprint of the 1991 edition, A
                 Wiley-Interscience Publication",
  publisher =    "John Wiley \& Sons Inc.",
  address =      "New York, revised reprint",
  year =         "1993",
}

@INCOLLECTION{Nych:00,
   author = "Nychka, D. W",
   title = "Spatial-process estimates as smoothers",
   editor = "Schimek, M. G.",
   booktitle = "Smoothing and Regression: Approaches, Computation, and
   Application", 
  chapter= 	13,
   pages = "393--424",
  publisher =    "John Wiley \& Sons Inc.",
  address =      "New York",
   year = 2000,
}


@Article{Brei:Frie:85,
  author =       "L. Breiman and J. H. Friedman",
  title =        "Estimating optimal transformations for multiple regression and correlations (with discussion)",
  journal =      "J. Amer. Statist. Assoc.",
  fjournal =     "Journal of the American Statistical Association",
  year =         "1985",
  volume =       "80",
  pages =        "580--619",
}

@Article{Buja:Hast:Tibs:89,
  author =       "A. Buja and T. J. Hastie and R. J. Tibshirani",
  title =        "Linear smoothers and additive models (with discussion)",
  journal =      "Ann. Statist.",
  fjournal =     "Annals of Statistics",
  year =         "1989",
  volume =       "17",
  pages =        "453--555",
}

@article{Ihak:Gent:96,
     author =    {Ross Ihaka and Robert Gentleman},
     title =     {R: A Language for Data Analysis and Graphics},
     journal =   {Journal of Computational and Graphical Statistics},
     fjournal =   {Journal of Computational and Graphical Statistics},
     year =      1996,
     volume =    5,
     number =    3,
     pages =     {299--314}
   }

@book {Geor:Liu:81, 
    AUTHOR = {George, Alan and Liu, Joseph W. H.},
     TITLE = {Computer solution of large sparse positive definite systems},
      NOTE = {Prentice-Hall Series in Computational Mathematics},
 PUBLISHER = {Prentice-Hall Inc.},
   ADDRESS = {Englewood Cliffs, N. J.},
      YEAR = {1981},
     PAGES = {xii+324},
}


@Book{Stei:99,
  author =       "M. L. Stein",
  title =        "Interpolation of Spatial Data",
  note =         "Some theory for Kriging",
  publisher =    "Springer-Verlag",
  address =      "New York",
  year =         "1999",
}

@Manual{R:07,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2007},
    note = {{ISBN} 3-900051-07-0, \href{http://www.R-project.org}{\texttt{http://www.R-project.org}}},
   }
%    url          = {\href{http://www.R-project.org}{\texttt{http://www.R-project.org}}},

@Book{Mate:60,
  author =       "B. Mat{\'e}rn",
  title =        "Spatial Variation: {S}tochastic Models and their
                 Application to some Problems in Forest Surveys and
                 other Sampling Investigations",
  publisher =    "Meddelanden Fran Statens Skogsforskningsinstitut, Band
                 49, Nr. 5, Stockholm",
  year =         "1960",
  pages =        "144",
  MRclass =      "62.90 (62.97)",
  MRnumber =     "29 \#6597",
  mrreviewer =   "P. Whittle",
}
@article{hand:stei:93,
   author    = {Handcock, M. S. and Stein, M. L.},
   title     = {{A Bayesian Analysis of Kriging}},
   journal   = {Technometrics},
   fjournal   = {Technometrics},
   year      = {1993},
   volume    = {35},
   number    = {4},
   pages     = {403-410}
}

@Book{Abra:Steg:70,
  editor =       "M. Abramowitz and I. A. Stegun",
  title =        "Handbook of Mathematical Functions",
  publisher =    "Dover",
  address= 	"New York",
  year =         "1970",
}


@Article{Zimm:Cres:92,
  author = 	 {Zimmerman, D. L. and Cressie, N.},
  title = 	 {Mean squared prediction error in the spatial linear model with estimated covariance parameters},
  fjournal = 	 {Annals of the Institute of Statistical Mathematics},
  journal = 	 {Ann.  Inst. Stat. Math.},
  year = 	 {1992},
  volume = 	 {44},
  pages = 	 {27-43},
}

@Book{Harv:97,
  author =       "D. A. Harville",
  title =        "Matrix Algebra From a Statistician's Perspective",
  publisher =    "Springer-Verlag",
  address =      "New York",
  year =         "1997",
  pages =        "xviii+630",
}
@article{Furr:05,
  author=   {Furrer, R.},
  year=     2005,
  title=    {Covariance Estimation under Spatial Dependence},
  JOURNAL=  {J. Multivariate Anal.},
  fjournal=     {Journal of Multivariate Analysis},
  volume=   {94},
  NUMBER=   {2},
  PAGES=    {366-381},
}
@book{Spee:03,
  editor =    {Terry P. Speed},
  title =     {Statistical analysis of gene expression microarray data},
  publisher = {Chapman \& Hall/CRC},  
  year =      2003,
}

@ARTICLE{Held:etal:05,
  AUTHOR = {L. Held and  I. Natario and S. Fenton and H. Rue and N. Becker},
  TITLE = {Towards joint disease mapping},
  JOURNAL = {Statistical Methods in Medical Research},
  YEAR = 2005,
  VOLUME = 14,
    number = {1},
  PAGES = {61-82},
 }
@ARTICLE{Knor:Rue:02,
    author = {L. Knorr-Held and H. Rue},
    title = {On Block Updating in {M}arkov Random Field Models for Disease Mapping},
    journal = {Scandinavian Journal of Statistics},
    year = {2002},
    volume = {29},
    number = {4},
    pages = {597--614}
}
@article{Held:Rass:00,
     title = {Bayesian Detection of Clusters and Discontinuities in Disease Maps
},
     author = {Knorr-Held, L. and Ra{\ss}er, G.},
     journal = {Biometrics},
     volume = {56},
     number = {1},
     pages = {13--21},
     year = {2000},
     publisher = {International Biometric Society},    
    }
@article{Besa:York:Moll:91,
  author  =  "J. Besag and J. York and A. Molli\'e",
  title   =  "{Bayesian} image restoration, with two applications
              in spatial statistics (with discussion)",
  journal =  "Annals of the Institute of Statistical Mathematics",
  year    =  1991,
  volume  =  43,
  pages   =  "1--59",
}
@INPROCEEDINGS{Moll:96,
  author =	 {A Molli\'e},
  title =	 {Bayesian mapping of disease},
  editor =	 {W. R. Gilks and S Richardson and D. J. Spiegelhalter},
  booktitle =	 {Markov Chain Monte Carlo in Practice},
  year =	 1996,
  pages =	 {359--379},
  publisher =	 {Chapman \& Hall, London}
}



