references.bib

@article{cox1989,
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    author = {J.T. Cox},
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}

@article{Asmussen1996,
 ISSN = {03036898, 14679469},
 URL = {http://www.jstor.org/stable/4616418},
 abstract = {Estimation from sample data and density approximation with phase-type distributions are considered. Maximum likelihood estimation via the EM algorithm is discussed and performed for some data sets. An extended EM algorithm is used to minimize the information divergence (maximize the relative entropy) in the density approximation case. Fits to Weibull, log normal, and Erlang distributions are used as illustrations of the latter.},
 author = {Søren Asmussen and Olle Nerman and Marita Olsson},
 journal = {Scandinavian Journal of Statistics},
 number = {4},
 pages = {419--441},
 publisher = {[Board of the Foundation of the Scandinavian Journal of Statistics, Wiley]},
 title = {Fitting Phase-Type Distributions via the EM Algorithm},
 volume = {23},
 year = {1996}
}



@article{schapira2017,
    title = {Extinction time for the contact process on general graphs},
    author = {Bruno Schapira and Daniel Valesin},
    year = {2017},
    url = {https://link.springer.com/article/10.1007/s00440-016-0742-0},
    journal = {Probability Theory and Related Fields},
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    month = {10},
    pages = {871–899},
}

@misc{mourrat2014phase,
    title={Phase transition of the contact process on random regular graphs},
    author={Jean-Christophe Mourrat and Daniel Valesin},
    year={2014},
    eprint={1405.0865},
    archivePrefix={arXiv},
    primaryClass={math.PR}
}

@article{maier1992,
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}

@Article{actuar2008,
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  }

@phdthesis{mle_phase_type2011,
title = "Maximum likelihood estimation of phase-type distributions",
author = "Esparza, {Luz Judith R}",
year = "2011",
language = "English",
series = "IMM-PHD-2010-245",
publisher = "Technical University of Denmark",
school = "Technical University of Denmark"
}

@book{Liggett1999,
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}

@article{Liggett2002,
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@book{grimmett2001,
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@article{neuts1975,
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@book{neuts1981,
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@book{Nelson1995,
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@book{LevinPeresWilmer2006,
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@article{geom_stable_laws,
author = {Kozubowski, Tomasz and Podgorski, Krzysztof},
year = {1999},
month = {12},
pages = {241-257},
title = {Geometric stable laws through series representations},
volume = {25},
journal = {Serdica Mathematical Journal}
}

@book{Durrett11probability,
    author = {Rick Durrett},
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}

@book{Ross_SP_95,
  Title                    = {Stochastic Processes},
  Author                   = {Sheldon M. Ross},
  Publisher                = {Wiley},
  Year                     = {1995},
  Edition                  = {Second}
}

@book{Ross97,
  Title                    = {Introduction to Probability Models},
  Author                   = {Sheldon M. Ross},
  Publisher                = {Academic Press},
  Year                     = {1997},
  Edition                  = {Sixth}
}

@article{durrett1988,
    author = "Durrett, Richard and Liu, Xiu-Fang",
    doi = "10.1214/aop/1176991682",
    fjournal = "The Annals of Probability",
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    month = "07",
    number = "3",
    pages = "1158--1173",
    publisher = "The Institute of Mathematical Statistics",
    title = "The Contact Process on a Finite Set",
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    year = "1988"
}

@book{grinstead2003,
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  interhash = {82dbaf581ceba3c046ed2d037011c286},
  intrahash = {efcf99a4d5384d76e5bfd96d2b2d0dd3},
  keywords = {probability statistics},
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  title = {Introduction to Probability},
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@misc{biu_ctmc_notes,
    title={Continuous Time Markov Chains},
    author={Amir, Gidi},
    year={2018},
    url = "http://u.math.biu.ac.il/~amirgi/CTMCnotes.pdf"
}

@misc{swart2017course,
    title={A Course in Interacting Particle Systems},
    author={Jan M. Swart},
    year={2017},
    eprint={1703.10007},
    archivePrefix={arXiv},
    primaryClass={math.PR}
}

@book{
    pishro,
    title = {Introduction to probability, statistics, and random processes},
    author = {Pishro-Nik, Hossein},
    year = {2014},
    url = {probabilitycourse.com},
    publisher={Kappa Research LLC}
}

@misc{
    randomservices,
    title = "randomservices.org",
    author = {Siegrist, Kyle},
    year = {2019},
    url = "https://www.randomservices.org/"
}


@article{Mountford2016,
   title={Exponential extinction time of the contact process on finite graphs},
   volume={126},
   ISSN={0304-4149},
   url={http://dx.doi.org/10.1016/j.spa.2016.01.001},
   DOI={10.1016/j.spa.2016.01.001},
   number={7},
   journal={Stochastic Processes and their Applications},
   publisher={Elsevier BV},
   author={Mountford, Thomas and Mourrat, Jean-Christophe and Valesin, Daniel and Yao, Qiang},
   year={2016},
   month={Jul},
   pages={1974–2013}
}


@article{arratia2005,
author = "Arratia, Richard and Liggett, Thomas M.",
doi = "10.1214/105051604000000693",
fjournal = "The Annals of Applied Probability",
journal = "Ann. Appl. Probab.",
month = "02",
number = "1B",
pages = "652--670",
publisher = "The Institute of Mathematical Statistics",
title = "How likely is an i.i.d. degree sequence to be graphical?",
url = "https://doi.org/10.1214/105051604000000693",
volume = "15",
year = "2005"
}

@Book{ggplot2,
    author = {Hadley Wickham},
    title = {ggplot2: Elegant Graphics for Data Analysis},
    publisher = {Springer-Verlag New York},
    year = {2016},
    isbn = {978-3-319-24277-4},
    url = {https://ggplot2.tidyverse.org},
 }