MCIvsAD.bbl

\begin{thebibliography}{122}
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\bibAnnoteFile{alvarezmelisetal2015}

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\newblock Ed.\ by R. L. Wasserstein. \doi{10.1080/00031305.2016.1154108}. See
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\bibAnnoteFile{asa2016}

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\newblock Exchangeability and its ramifications.
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\newblock \langnohyph{{Funzione} caratteristica di un fenomeno aleatorio}.
\newblock In \emph{\langnohyph{Atti del Congresso Internazionale dei
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\newblock \url{https://www.mathunion.org/icm/proceedings},
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\bibAnnoteFile{definetti1929}

\bibitem[{de~Finetti(1930)}]{definetti1930}
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\newblock \langnohyph{{Funzione} caratteristica di un fenomeno aleatorio}.
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\bibAnnoteFile{definetti1930}

\bibitem[{de~Finetti(1937)}]{definetti1937}
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\newblock \langnohyph{{La} pr{\'e}vision: ses lois logiques, ses sources
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\newblock \emph{Ann.\ Inst.\ Henri Poincar{\'e}} 7, 1--68.
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\bibAnnoteFile{definetti1937}

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\newblock Semiparametric {Bayesian} classification with longitudinal markers.
\newblock \emph{J. R. Stat.\ Soc. C} 56, 119--137.
\newblock \doi{10.1111/j.1467-9876.2007.00569.x}
\bibAnnoteFile{delacruzmesiaetal2007}

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\newblock {\textsc{NIMBLE}}: {MCMC}, particle filtering, and programmable
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\newblock \url{https://cran.r-project.org/package=nimble},
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\newblock Dirichlet process {Gaussian}-mixture model: An application to
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\newblock Severe class imbalance: Why better algorithms aren't the answer.
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\newblock In \emph{\citein{bernardoetal2011}}. 145--158.
\newblock \doi{10.1093/acprof:oso/9780199694587.003.0005}, older version at
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\newblock \osfeprint{7rz8t}
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\newblock Susceptibility of the conventional criteria for mild cognitive
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\newblock \emph{Alzheimer's Dement.} 11, 415--424.
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\bibitem[{Edmonds et~al.(2020)Edmonds, Weigand, Hatton, Marshall, Thomas, Ayala
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\newblock Patterns of longitudinal cortical atrophy over 3 years in empirically
  derived {MCI} subtypes.
\newblock \emph{Neurology} 9, e2532--e2544.
\newblock \doi{10.1212/WNL.0000000000009462}
\bibAnnoteFile{edmondsetal2020}

\bibitem[{{Event Horizon Telescope Collaboration}(2019)}]{eht2019}
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\bibitem[{{Event Horizon Telescope Collaboration}(2022)}]{eht2022}
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\bibitem[{Ferguson(1967)}]{ferguson1967}
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\newblock \emph{Mathematical Statistics: A Decision Theoretic Approach} (New
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\bibitem[{Fine(1973)}]{fine1973}
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\newblock \emph{Theories of Probability: An Examination of Foundations} (New
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\bibAnnoteFile{fine1973}

\bibitem[{Fong and Holmes(2020)}]{fongetal2020}
Fong, E. and Holmes, C.~C. (2020).
\newblock On the marginal likelihood and cross-validation.
\newblock \emph{Biometrika} 107, 489--496.
\newblock \doi{10.1093/biomet/asz077}
\bibAnnoteFile{fongetal2020}

\bibitem[{Gilks et~al.(1998)Gilks, Richardson, and
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\bibitem[{Good(1950)}]{good1950}
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\newblock \emph{Probability and the Weighing of Evidence} (London: Griffin)
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\bibitem[{Good(1961)}]{good1961c}
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\newblock Weight of evidence, causality and false-alarm probabilities.
\newblock In \emph{\citein{cherry1961}}, chap.~11. 125--136.
\newblock With Discussion by A. J. Mayne and D. M. MacKay and reply
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\bibitem[{Good and Toulmin(1968)}]{goodetal1968}
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\newblock Coding theorems and weight of evidence.
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\newblock Online supplement and discussion: {ASA} statement on statistical
  significance and {$p$}-values.
\newblock \emph{Am.\ Stat.} 70, 129.
\newblock \doi{10.1080/00031305.2016.1154108} supplemental material. See
  \citebi{asa2016} and \citebi{wassersteinetal2016}
\bibAnnoteFile{greenlandetal2016}

\bibitem[{Hailperin(1996)}]{hailperin1996}
Hailperin, T. (1996).
\newblock \emph{Sentential Probability Logic: Origins, Development, Current
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\bibAnnoteFile{hailperin1996}

\bibitem[{Halpern(1999)}]{halpern1999b}
Halpern, J.~Y. (1999).
\newblock Cox's theorem revisited.
\newblock \emph{J. Artif.\ Intell.\ Res.} 11, 429--435.
\newblock \doi{10.1613/jair.644}. See also \citebi{snow1998}
\bibAnnoteFile{halpern1999b}

\bibitem[{Harper and Hooker(1976)}]{harperetal1976b}
Harper, W.~L. and Hooker, C.~A. (eds.) (1976).
\newblock \emph{Foundations of Probability Theory, Statistical Inference, and
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\bibAnnoteFile{harperetal1976b}

\bibitem[{Hjort et~al.(2010)Hjort, Holmes, M{\"u}ller, and
  Walker}]{hjortetal2010}
Hjort, N.~L., Holmes, C., M{\"u}ller, P., and Walker, S.~G. (eds.) (2010).
\newblock \emph{Bayesian Nonparametrics} (Cambridge: Cambridge University
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\newblock \doi{10.1017/CBO9780511802478}
\bibAnnoteFile{hjortetal2010}

\bibitem[{Hunink et~al.(2014)Hunink, Weinstein, Wittenberg, Drummond, Pliskin,
  Wong et~al.}]{huninketal2001_r2014}
Hunink, M. G.~M., Weinstein, M.~C., Wittenberg, E., Drummond, M.~F., Pliskin,
  J.~S., Wong, J.~B., et~al. (2014).
\newblock \emph{Decision Making in Health and Medicine: Integrating Evidence
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\newblock \doi{10.1017/CBO9781139506779}. First publ.\ 2001
\bibAnnoteFile{huninketal2001_r2014}

\bibitem[{Ishwaran and Zarepour(2002)}]{ishwaranetal2002b}
Ishwaran, H. and Zarepour, M. (2002).
\newblock Dirichlet prior sieves in finite normal mixtures.
\newblock \emph{Stat.\ Sinica} 12, 941--963.
\newblock
  \url{http://www3.stat.sinica.edu.tw/statistica/J12n3/j12n316/j12n316.htm}
\bibAnnoteFile{ishwaranetal2002b}

\bibitem[{{\textsc{iso}}(2008)}]{iso2008c}
{\textsc{iso}} (2008).
\newblock \emph{ISO 80000-13:2008: Quantities and units 13: Information science
  and technology}.
\newblock International Organization for Standardization, Geneva
\bibAnnoteFile{iso2008c}

\bibitem[{Jawa and Maslove(2023)}]{jawaetal2023}
Jawa, N.~A. and Maslove, D.~M. (2023).
\newblock Bayes' theorem in neurocritical care: Principles and practice.
\newblock \emph{Neurocrit.\ Care} 2023, 1.
\newblock \doi{10.1007/s12028-022-01665-2}. Note that some statements in this
  paper are incorrect or misleading. Table~5 states as advantage of frequentist
  statistics \enquote{not susceptible to prior beliefs}; this is not true.
  Frequentist statistics \emph{does} use a prior, but keeps it hidden: see
  e.g.\ \citebi{pratt1961} p.~167, \citebi{savageetal1962} p.~49 item (ii); so
  in frequentist statistics it becomes difficult to check whether this hidden
  prior is appropriate to the given problem. On the other hand, if the
  frequentist statistics did not implicitly use a prior, it would lead to
  contradictions -- and in some cases indeed it does -- see references above
  and \citebi{lindley1977}. Table~5 also states as disadvantage of Bayesian
  statistics \enquote{Priors are subjective and may be biased}. This statement
  is unfair: a prior is no less subjective than choosing \enquote{0.05} as a
  threshold of \enquote{statistical significance}: why this particular value?
  what is its rationale? If one answers that it is a value generally agreed
  upon by the community, then such general community agreement exists also for
  priors; thus \enquote{subjective} is untrue. But the truth is that there are
  debates about the appropriate \enquote{significance} level, which is
  therefore as \enquote{subjective} as a prior.
\bibAnnoteFile{jawaetal2023}

\bibitem[{Jaynes(1976)}]{jaynes1976}
Jaynes, E.~T. (1976).
\newblock Confidence intervals vs {Bayesian} intervals.
\newblock In \emph{\citein{harperetal1976b}}. 175--257.
\newblock With discussion, comments by M. Maxfield and O. Kempthorne, and
  reply. Repr.\ with an introduction in \citebi[149--209]{jaynes1983_r1989};
  \url{http://bayes.wustl.edu/etj/node1.html}
\bibAnnoteFile{jaynes1976}

\bibitem[{Jaynes(1989)}]{jaynes1983_r1989}
Jaynes, E.~T. (1989).
\newblock \emph{E. T. Jaynes: Papers on Probability, Statistics and Statistical
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\newblock Edited by R. D. Rosenkrantz. First publ.\ 1983
\bibAnnoteFile{jaynes1983_r1989}

\bibitem[{Jaynes(2003)}]{jaynes1994_r2003}
Jaynes, E.~T. (2003).
\newblock \emph{Probability Theory: The Logic of Science} (Cambridge: Cambridge
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\newblock Ed.\ by G. Larry Bretthorst. First publ.\ 1994.
  \doi{10.1017/CBO9780511790423},
  \url{https://archive.org/details/XQUHIUXHIQUHIQXUIHX2},
  \url{http://www-biba.inrialpes.fr/Jaynes/prob.html}
\bibAnnoteFile{jaynes1994_r2003}

\bibitem[{{\textsc{jcgm}}(2008)}]{jcgm1993_r2008}
{\textsc{jcgm}} (2008).
\newblock \emph{{JCGM} 100:2008: {Evaluation} of measurement data -- {Guide} to
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