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Expand Up @@ -17,37 +17,25 @@ Basellini, U. and Camarda, C.~G. (2019).
\newblock Modelling and forecasting adult age-at-death distributions.
\newblock {\em Population Studies}, 73(1):119--138.

\bibitem[Basellini and Camarda, 2020]{basellini2020three}
Basellini, U. and Camarda, C.~G. (2020).
\newblock {A Three-component Approach to Model and Forecast Age-at-death
Distributions}.
\newblock In Mazzuco, S. and Keilman, N., editors, {\em Developments in
Demographic Forecasting}. Springer (forthcoming).

\bibitem[Bergeron-Boucher et~al., 2017]{bergeron2017coherent}
Bergeron-Boucher, M.-P., Canudas-Romo, V., Oeppen, J., and Vaupel, J.~W.
(2017).
\newblock Coherent forecasts of mortality with compositional data analysis.
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\newblock {Lifespan Disparity as an Additional Indicator for Evaluating
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\newblock {\em Demography}, 54(4):1559--1577.

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\newblock Long-range trends in adult mortality: Models and projection methods.
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\bibitem[Booth, 2006]{booth2006demographic}
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\newblock Demographic forecasting: 1980 to 2005 in review.
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\bibitem[Borgan and Keilman, 2019]{borgan2019cohort}
Borgan, {\O}. and Keilman, N. (2019).
\bibitem[Borgan and Keilman, 2018]{borgan2018cohort}
Borgan, {\O}. and Keilman, N. (2018).
\newblock {Do Japanese and Italian Women Live Longer than Women in
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Expand Down Expand Up @@ -101,62 +89,32 @@ Canudas-Romo, V. (2010).
\newblock Three measures of longevity: Time trends and record values.
\newblock {\em Demography}, 47(2):299--312.

\bibitem[Cheung and Robine, 2007]{cheung2007increase}
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case of Japan}.
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\bibitem[Christensen et~al., 2010]{ChristensenEtAlDenmarkSwedenDivergence2010}
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\newblock The {D}ivergent {L}ife-{E}xpectancy {T}rends in {D}enmark and
{S}weden - and {S}ome {P}otential {E}xplanations.
\newblock In Crimmins, E.~M., Preston, S.~H., and Cohen, B., editors, {\em
International Differences in Mortality at Older Ages: Dimensions and
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\newblock {\em International Differences in Mortality at Older Ages}, chapter
The Divergent Life-Expectancy Trends in Denmark and Sweden - and Some
Potential Explanations.
\newblock National Academies Press, Washington (DC).

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\bibitem[Currie, 2012]{currie2012forecasting}
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\newblock Forecasting with the age-period-cohort model?
\newblock In {\em Proceedings of the 27th International Workshop of Statistical
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\bibitem[Currie, 2020]{currie2020constraints}
Currie, I.~D. (2020).
\newblock Constraints, the identifiability problem and the forecasting of
mortality.
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\newblock Forthcoming.

\bibitem[Currie et~al., 2004]{currie2004smoothing}
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\newblock Smoothing and forecasting mortality rates.
\newblock {\em Statistical Modelling}, 4(4):279--298.

\bibitem[Diaz et~al., 2018]{diaz2018mortality}
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\newblock {\em Genus}, 74(1):15.

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Fern{\'{a}}ndez, C. and Steel, M. F.~J. (1998).
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\newblock On bayesian modeling of fat tails and skewness.
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Fries, J.~F. (1980).
\newblock Aging, natural death, and the compression of morbidity.
\newblock {\em New England Journal of Medicine}, 303(3):130--135.

\bibitem[Gigliarano et~al., 2017]{gigliarano2017longevity}
Gigliarano, C., Basellini, U., and Bonetti, M. (2017).
\newblock Longevity and concentration in survival times: the log-scale-location
family of failure time models.
\newblock {\em Lifetime Data Analysis}, 23(2):254--274.

\bibitem[Gini, 1912]{gini1912variabilita}
Gini, C. (1912).
\newblock Variabilit{\`a} e mutabilit{\`a}. {C}ontributi allo studio delle
relazioni e delle distribuzioni statistiche.
\newblock {\em Studi Economico-Giuridici della Universit{\`a} di Cagliari}.

\bibitem[Gini, 1914]{gini1914sulla}
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\newblock Sulla misura della concentrazione e della variabilit{\`a} dei
caratteri.
\newblock {\em Atti del Reale Istituto Veneto di Scienze, Lettere ed Arti},
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\bibitem[Goldstein and Wachter, 2006]{goldstein2006relationships}
Goldstein, J.~R. and Wachter, K.~W. (2006).
\newblock Relationships between period and cohort life expectancy: Gaps and
lags.
\newblock {\em Population Studies}, 60(3):257--269.

\bibitem[Hanada, 1983]{hanada1983formula}
Hanada, K. (1983).
\newblock A formula of {G}ini's concentration ratio and its application to life
tables.
\newblock {\em Journal of the Japan Statistical Society, Japanese Issue},
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\bibitem[Horiuchi et~al., 2013]{horiuchi2013modal}
Horiuchi, S., Ouellette, N., Cheung, S. L.~K., and Robine, J.-M. (2013).
\newblock Modal age at death: lifespan indicator in the era of longevity
extension.
\newblock {\em Vienna Yearbook of Population Research}, 11:37--69.

\bibitem[{Human Mortality Database}, 2019]{HMD}
{Human Mortality Database} (2019).
\newblock {{University of California, Berkeley (USA)}} and {Max Planck
Institute for Demographic Research (Germany)}.
\newblock Available at www.mortality.org or www.humanmortality.de (data
downloaded on 8 May 2019).

\bibitem[Hyndman et~al., 2018]{demogRpackage}
Hyndman, R.~J., Booth, H., Tickle, L., and Maindonald, J. (2018).
\newblock {\em demography: {Forecasting Mortality, Fertility, Migration and
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\newblock R package version 1.21.

\bibitem[Jacobsen et~al., 2002]{jacobsen2002long}
Jacobsen, R., Keiding, N., and Lynge, E. (2002).
\newblock Long term mortality trends behind low life expectancy of {D}anish
Expand All @@ -253,36 +162,12 @@ Jacobsen, R., Keiding, N., and Lynge, E. (2006).
\newblock Causes of death behind low life expectancy of {D}anish women.
\newblock {\em Scandinavian Journal of Public Health}, 34(4):432--436.

\bibitem[Janssen and de~Beer, 2019]{janssen2019timing}
Janssen, F. and de~Beer, J. (2019).
\newblock {The timing of the transition from mortality compression to mortality
delay in Europe, Japan and the United States}.
\newblock {\em Genus}, 75(1).

\bibitem[Kannisto, 2000]{kannisto2000measuring}
Kannisto, V. (2000).
\newblock Measuring the compression of mortality.
\newblock {\em Demographic Research}, 3.
\newblock \href{http://www.demographic-research.org/volumes/vol3/6/}{doi:
10.4054/DemRes.2000.3.6}.

\bibitem[Kannisto, 2001]{kannisto2001mode}
Kannisto, V. (2001).
\newblock Mode and dispersion of the length of life.
\newblock {\em Population: An English Selection}, 13:159--171.

\bibitem[Keilman and Pham, 2006]{keilman2006prediction}
Keilman, N. and Pham, D. (2006).
\newblock Prediction intervals for {Lee-Carter}-based mortality forecasts.
\newblock In {\em European Population Conference 2006, Liverpool, June 21--24,
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\bibitem[Klein and Moeschberger, 2003]{klein2003survival}
Klein, J.~P. and Moeschberger, M.~L. (2003).
\newblock {\em {Survival Analysis: Techniques for Censored and Truncated
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\newblock Springer Science \& Business Media, second edition.

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Expand Down Expand Up @@ -407,41 +292,7 @@ Rizzi, S., Kj{\ae}rgaard, S., Bergeron-Boucher, M.-P., Lindahl-Jacobsen, R.,
Shang, H.~L., Booth, H., and Hyndman, R. (2011).
\newblock Point and interval forecasts of mortality rates and life expectancy:
A comparison of ten principal component methods.
\newblock {\em Demographic Research}, 25:173--214.

\bibitem[Shkolnikov et~al., 2003]{shkolnikov2003gini}
Shkolnikov, V.~M., Andreev, E.~E., and Begun, A.~Z. (2003).
\newblock Gini coefficient as a life table function: computation from discrete
data, decomposition of differences and empirical examples.
\newblock {\em Demographic Research}, 8(11):305--358.

\bibitem[Shkolnikov et~al., 2011]{shkolnikov2011steep}
Shkolnikov, V.~M., Jdanov, D.~A., Andreev, E.~M., and Vaupel, J.~W. (2011).
\newblock {Steep Increase in Best-Practice Cohort Life Expectancy}.
\newblock {\em Population and Development Review}, 37(3):419--434.

\bibitem[Smits and Monden, 2009]{smits2009length}
Smits, J. and Monden, C. (2009).
\newblock Length of life inequality around the globe.
\newblock {\em Social Science \& Medicine}, 68(6):1114--1123.

\bibitem[Thatcher et~al., 2010]{thatcher2010compression}
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\newblock The compression of deaths above the mode.
\newblock {\em Demographic Research}, 22:505--538.

\bibitem[Thiele, 1871]{thiele1871mathematical}
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\newblock {On a mathematical formula to express the rate of mortality
throughout the whole of life, tested by a series of observations made use of
by the Danish Life Insurance Company of 1871}.
\newblock {\em Journal of the Institute of Actuaries and Assurance Magazine},
16(5):313--329.

\bibitem[van Raalte and Caswell, 2013]{van2013perturbation}
van Raalte, A.~A. and Caswell, H. (2013).
\newblock Perturbation analysis of indices of lifespan variability.
\newblock {\em Demography}, 50(5):1615--1640.
\newblock {\em Demographic Research}, 25(5):173--214.

\bibitem[Vaupel and Lundstr{\"o}m, 1994]{vaupel1994longer}
Vaupel, J. and Lundstr{\"o}m, H. (1994).
Expand All @@ -450,18 +301,6 @@ Vaupel, J. and Lundstr{\"o}m, H. (1994).
\newblock In {\em Studies in the Economics of Aging}, pages 79--102. University
of Chicago Press.

\bibitem[Villegas et~al., 2018]{villegas2018stmomo}
Villegas, A.~M., Kaishev, V.~K., and Millossovich, P. (2018).
\newblock {StMoMo: An \texttt{R} Package for Stochastic Mortality Modeling}.
\newblock {\em Journal of Statistical Software}, 84(3).

\bibitem[Wilmoth et~al., 2019]{wilmoth2019protocol}
Wilmoth, J.~R., Andreev, K., Jdanov, D., Glei, D.~A., Riffe, T., Boe, C.,
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\newblock {Methods Protocol for the Human Mortality Database. Last Revised:
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\bibitem[Wilmoth and Lundstr{\"o}m, 1996]{wilmoth1996extreme}
Wilmoth, J.~R. and Lundstr{\"o}m, H. (1996).
\newblock Extreme longevity in five countries.
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