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Spline interpolation for demographic variables: The monotonicity problem
Authors:Len?Smith  author-information"  >  author-information__contact u-icon-before"  >  mailto:len@coombs.anu.edu.au"   title="  len@coombs.anu.edu.au"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Rob?J.?Hyndman,Simon?N.?Wood
Affiliation:(1) Monash University, Melbourne, Australia;(2) The University of Glasgow, Glasgow, UK;(3) Australian Centre for Population Research, The Australian National University, 0200, ACT, Australia
Abstract:In demography, it is often necessary to obtain a monotonic interpolation of data. A solution to this problem is available using the Hyman filter for cubic splines. However, this does not seem to be well known amongst demographers, and no implementation of the procedure is readily available. We remedy these problems by outlining the relevant ideas here, and providing a function for the R language.
Keywords:interpolation  splines  monotonic  age groups  age distribution  deaths  data bank
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