
@Article{lubridate,
  title = {Dates and Times Made Easy with {lubridate}},
  author = {Garrett Grolemund and Hadley Wickham},
  journal = {Journal of Statistical Software},
  year = {2011},
  volume = {40},
  number = {3},
  pages = {1--25},
  doi   = {10.18637/jss.v040.i03},
}

@article{francq2011asymptotic,
  title={Asymptotic properties of weighted least squares estimation in weak parma models},
  author={Francq, C. and Roy, R. and Saidi, A.},
  journal={Journal of Time Series Analysis},
  volume={32},
  number={6},
  pages={699--723},
  year={2011},
  publisher={Wiley Online Library}
}


@article{boswijk1996unit,
  title = {Unit roots in periodic autoregressions},
  author = {Boswijk, H Peter and Franses, Philip Hans},
  journal = {Journal of Time Series Analysis},
  volume = {17},
  number = {3},
  pages = {221--245},
  year = {1996},
  publisher = {Wiley Online Library},
}

@article{boshnakov2012pld,
title = "A periodic Levinson-Durbin algorithm for entropy maximization",
journal = "Computational Statistics \& Data Analysis",
volume = {56},
number = "",
pages = {15--24},
year = "2012",
note = "",
issn = "0167-9473",
doi = "10.1016/j.csda.2011.07.001",
author = "Georgi N. Boshnakov and Sophie Lambert-Lacroix",
keywords = "Maximum entropy method",
keywords = "Partial autocorrelation",
keywords = "Periodically correlated processes",
keywords = "Periodic Levinson-Durbin algorithm"
}

@article {boshnakov2009gen,
    AUTHOR = {Boshnakov, Georgi N. and Iqelan, Bisher M.},
     TITLE = {Generation of time series models with given spectral
              properties},
   JOURNAL = {J. Time Series Anal.},
  FJOURNAL = {Journal of Time Series Analysis},
    VOLUME = {30},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {349--368},
      ISSN = {0143-9782},
   MRCLASS = {62M10 (62M15)},
  MRNUMBER = {MR2512237},
doi = {10.1111/j.1467-9892.2009.00617.x},
}

@article{boshnakov2012mep,
author = {Boshnakov, Georgi N. and Iqelan, Bisher M.},
title = {Maximum entropy models for general lag patterns},
journal = {Journal of Time Series Analysis},
volume = {33},
number = {1},
year = "2012",
pages = {112--120},
note = "",
issn = "1467-9892",
doi = "10.1111/j.1467-9892.2011.00744.x",
}

@article{boshnakov2009pcme,
  title={{Maximum entropy for periodically correlated processes from nonconsecutive
                  autocovariance coefficients}},
  author={Boshnakov, Georgi N. and Lambert-Lacroix, Sophie},
  JOURNAL = {J. Time Series Anal.},
  FJOURNAL = {Journal of Time Series Analysis},
  volume={30},
  number={5},
  pages={467--486},
  year={2009},
  publisher={Blackwell Publishing},
  doi = {10.1111/j.1467-9892.2009.00619.x}
}

@article {boshnakov2002mc,
    AUTHOR = {Boshnakov, Georgi N.},
     TITLE = {Multi-companion matrices},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {354},
      YEAR = {2002},
     PAGES = {53--83},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {15A18 (62M10)},
  MRNUMBER = {MR1927648 (2003f:15014)},
MRREVIEWER = {M. L. Mehta},
doi={10.1016/S0024-3795(01)00475-X},
}

@incollection {boshnakov1997gyor,
    AUTHOR = {Boshnakov, Georgi N.},
     TITLE = {Periodically correlated solutions to a class of stochastic
              difference equations},
 BOOKTITLE = {Stochastic differential and difference equations ({G}yor,
              1996)},
    SERIES = {Progr. Systems Control Theory},
    VOLUME = {23},
     PAGES = {1--9},
 PUBLISHER = {Birkhauser Boston},
   ADDRESS = {Boston, MA},
      YEAR = {1997},
   MRCLASS = {60G99 (62M10)},
  MRNUMBER = {MR1636822},
editor = "Csiszar, I. and Michaletzky, Gy.",
}


@article {boshnakov1996spa,
    AUTHOR = {Boshnakov, Georgi N.},
     TITLE = {The asymptotic covariance matrix of the multivariate serial
              correlations},
   JOURNAL = {Stochastic Process. Appl.},
  FJOURNAL = {Stochastic Processes and their Applications},
    VOLUME = {65},
      YEAR = {1996},
    NUMBER = {2},
     PAGES = {251--258},
      ISSN = {0304-4149},
     CODEN = {STOPB7},
   MRCLASS = {62M10},
  MRNUMBER = {MR1425359 (98f:62246)},
MRREVIEWER = {Francesco Battaglia},
doi={10.1016/S0304-4149(96)00104-4},
}


@article {boshnakov1996pcarma,
    AUTHOR = {Boshnakov, Georgi N.},
     TITLE = {Recursive computation of the parameters of periodic
              autoregressive moving-average processes},
   JOURNAL = {J. Time Ser. Anal.},
  FJOURNAL = {Journal of Time Series Analysis},
    VOLUME = {17},
      YEAR = {1996},
    NUMBER = {4},
     PAGES = {333--349},
      ISSN = {0143-9782},
   MRCLASS = {62M10},
  MRNUMBER = {MR1410414 (97j:62124)},
MRREVIEWER = {A. N. Startsev},
doi={10.1111/j.1467-9892.1996.tb00281.x},
}



@BOOK{HipelMcLeod,
AUTHOR     = {Hipel, Keith W. and McLeod, A. Ian},
TITLE  = {Time series modelling of water resources and environmental systems},
SERIES = {Developments in water science; 45},
PUBLISHER  = "London; Amsterdam: Elsevier",
YEAR   = "1994",
}

@BOOK{LancTism,
AUTHOR ={Lancaster, P. and Tismenetsky, M.},
TITLE  ={The theory of matrices},
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YEAR  ="1985",
EDITION  ="Second",
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@BOOK{FransesB1,
AUTHOR ={Philip Hans Franses},
TITLE ={Periodicity and Stochastic Trends In Economic Time Series},
PUBLISHER ="Oxford University Press Inc., New York",
YEAR  ="1996",
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@BOOK{FransesB2,
AUTHOR ={Philip H. Franses and Richard Paap},
TITLE ={Periodic Time Series Models},
PUBLISHER ="Oxford University Press Inc., New York",
YEAR  ="2004",
}



@article{McL93,
author     = {A.I. McLeod},
title  = {Parsimony, model adequacy and periodic correlation in time series forecasting},
journal="Internat. Statist. Rev.",
year   ="1993",
volume = "61",
number = "3",
pages = "387-393",
}

@article{Mcleod1993parsimony,
  author = {A.I. McLeod},
  title  = {Parsimony, model adequacy and periodic correlation in time series forecasting},
  journal= "Internat. Statist. Rev.",
  year   = "1993",
  volume = "61",
  number = "3",
  pages  = "387-393",
}

@article{McLeod1994diagnostic,
  title={Diagnostic checking of periodic autoregression models with application},
  author={McLeod, A Ian},
  journal={Journal of Time Series Analysis},
  volume={15},
  number={2},
  pages={221--233},
  year={1994},
}

@article{McLeod1995diagnosticCorrection,
author = {McLeod, A. I.},
title = {Diagnostic checking of periodic autoregression models with application},
journal = {Journal of Time Series Analysis},
volume = {16},
number = {6},
pages = {647-648},
doi = {10.1111/j.1467-9892.1995.tb00260.x},
year = {1995},
note = {This corrects some typos in the eponimous article  McLeod (1994)}
}



@TECHREPORT{ b:Luleo94 ,
AUTHOR    = {Boshnakov, G. N.},
TITLE     = {Periodically Correlated Sequences: Some Properties and Recursions},
YEAR      = "1994",
NUMBER    = "1",
MONTH =   "Mar",
TYPE = "Research Report",
INSTITUTION = "Division of Quality Technology and Statistics, Luleo University, Sweden",
}

@TECHREPORT{ b:Varna92 ,
AUTHOR    = {G. N. Boshnakov and A. Boteva },
TITLE     = {An algorithm for the computation of the theoretical autocovariances of a periodic autoregression process},
YEAR      = "1992",
PAGES   = "9-15",
TYPE = "In proceedings of the 8th seminar on statistical data analysis",
INSTITUTION = "Varna",
}

@article{Sophie2005pacf,
author="Lambert-Lacroix, S.",
title=" Extension of autocovariance coefficients sequence for periodically correlated
processes",
journal="Journal of Time Series Analysis",
volume="26",
number="3",
pages="423-435",
year="2005",
}

@article{Sophie2000par,
author="Lambert-Lacroix, S.",
title="On periodic autoregressive process estimation ",
journal=" IEEE Transactions on Signal Processing",
year   = 2000,
volume = 48,
Number = " 6 ",
pages  = "1800-1803",
}

@article{Pagano1978,
author     = {Pagano, M.},
title  = {On periodic and multiple autoregression},
journal = "Ann. Statist.",
year   = "1978",
volume = "6",
pages   = "1310-1317",
}

@Manual{Rpackage2011pcme,
    title = {pcme: Maximum entropy estimation of periodically correlated time series},
    author = {Georgi N. Boshnakov and Sophie Lambert-Lacroix},
    year = {2011},
    note = {R package version 0.55},
    url = {https://personalpages.manchester.ac.uk/staff/georgi.boshnakov/Rpackages/},
}

