Estimating the prevalence of low-lumbar spine bone mineral density in older men with or at risk for HIV infection using normal mixture models

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Bone mineral density decreases naturally as we age because existing bone tissue is reabsorbed by the body faster than new bone tissue is synthesized. When this occurs, bones lose calcium and other minerals. What is normal bone mineral density for men 50 years and older? Suitable diagnostic cutoff values for men are less well defined than for women. In this paper, we propose using normal mixture models to estimate the prevalence of low-lumbar spine bone mineral density in men 50 years and older with or at risk for human immunodeficiency virus infection when normal values of bone mineral density are not generally known. The Box-Cox power transformation is used to determine which transformation best suits normal mixture distributions. Parametric bootstrap tests are used to determine the number of mixture components and to determine whether the mixture components are homoscedastic or heteroscedastic.

Original languageEnglish (US)
Pages (from-to)2247-2258
Number of pages12
JournalJournal of Applied Statistics
Volume39
Issue number10
DOIs
StatePublished - Oct 2012

Fingerprint

Normal Mixture
HIV Infection
Spine
Mixture Model
Bone
Box-Cox Transformation
Power Transformation
Bootstrap Test
Parametric Bootstrap
Mixture Distribution
Mixture model
HIV infection
Minerals
Calcium
Virus
Infection
Gaussian distribution
Well-defined
Diagnostics
Decrease

Keywords

  • bone mineral density
  • Box-Cox power transformation
  • EM algorithm
  • HIV infection
  • normal mixture
  • parametric bootstrap

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

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abstract = "Bone mineral density decreases naturally as we age because existing bone tissue is reabsorbed by the body faster than new bone tissue is synthesized. When this occurs, bones lose calcium and other minerals. What is normal bone mineral density for men 50 years and older? Suitable diagnostic cutoff values for men are less well defined than for women. In this paper, we propose using normal mixture models to estimate the prevalence of low-lumbar spine bone mineral density in men 50 years and older with or at risk for human immunodeficiency virus infection when normal values of bone mineral density are not generally known. The Box-Cox power transformation is used to determine which transformation best suits normal mixture distributions. Parametric bootstrap tests are used to determine the number of mixture components and to determine whether the mixture components are homoscedastic or heteroscedastic.",
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