ANALYSIS OF THE EMPIRICAL DISTRIBUTION OF THE RESIDUALS DERIVED FROM FITTING THE HELIGMAN AND POLLARD CURVE TO MORTALITY DATA

F. Abad-Montes, M. D. Huete-Morales and M. Vargas-Jiménez
Additional contact information
F. Abad-Montes: Dpto. Estadística e Investigación Operativa, Universidad de Granada, C/Fuentenueva, s/n, Granada, España, Spain
M. D. Huete-Morales: Dpto. Estadística e Investigación Operativa, Universidad de Granada, C/Fuentenueva, s/n, Granada, España, Spain
M. Vargas-Jiménez: Dpto. Estadística e Investigatión Operativa, Universidad de Granada, C/Fuentenueva, s/n, Granada, Espańa, Spain

Chapter 14 in Distribution Models Theory, 2006, pp 243-283 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractIn studying the behaviour of human phenomena, it is of interest to examine the patterns that remain more or less stable, whether the comparison is made of different populations at a given moment or at different times, or of the same population in different situations. Such regularities have long been modelled, and this has enabled researchers to discover aspects and properties that are inherent to the phenomenon being studied. In the present paper, various techniques, some of which are relatively modern, are applied to the analysis of the empirical distribution of the residuals derived from fitting the Heligman and Pollard curve to mortality data. Firstly, we perform a graphical illustration from the ime perspective (curves fitted over various periods) and then a static one for the ages (i.e. obtaining fits to different ages). The aim of this study is to explore the different distributions of the residuals at each age and thus to evaluate the correspondence between models (such as the Heligman and Pollard curve) and reality (the observed rates of mortality). For this purpose, we use graphical techniques, non-parametric techniques such as kernel smoothing, splines and weighted local fit, and generalised additive models, together with bootstrap sampling techniques to describe distributions of statistical measures of the residuals.

Keywords: Inference; Uncertainty; Copulas; Stochastic Dominance; Bayesian Techniques; Hierarchical Bayesian Model; Poisson-Gamma-Gamma Model; Experience Rating; Specific Fecundity Rates; Fecundity Curves; Topp and Leone Distributions; Waring Distribution; Factorial; Cluster; Discrimination Analyses; Survival Functions (search for similar items in EconPapers)
JEL-codes: C5 C7 (search for similar items in EconPapers)
Date: 2006
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.worldscientific.com/doi/pdf/10.1142/9789812772992_0014 (application/pdf)
https://www.worldscientific.com/doi/abs/10.1142/9789812772992_0014 (text/html)
Ebook Access is available upon purchase.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:wschap:9789812772992_0014

Ordering information: This item can be ordered from

Access Statistics for this chapter

More chapters in World Scientific Book Chapters from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().