arXiv subjects

Paul Deheuvels

Publications and source records attributed to Paul Deheuvels.

2 recordsLinked to original sources

arXiv2019

On choking and ingestion hazards for children in the United States

The risks of Unintentional Suffocation injuries in the U.S. must be reconsidered in view of the existent mortality and morbidity statistics. In particular, fatal injuries due to the Sudden Unexpected Infant Death Syndrome [SUIDS] should be treated on their own and separated from this group. Because of a non-appropriate nomenclature, the risks of injuries due to Aspiration and/or Ingestion of Foreign Bodies have been overestimated in the recent decades, and should be reconsidered by a factual scrutiny of the statistical data.

stat.AP↗

arXiv2006

Karhunen-Loève expansions of mean-centered Wiener processes

For $γ>-{1/2}$, we provide the Karhunen-Loève expansion of the weighted mean-centered Wiener process, defined by \[W _γ(t)=\frac{1}{\sqrt{1+2γ}}\Big\{W\big(t^{1+2γ}\big)- \int_0^1W\big(u^{1+2γ}\big)du\Big\},\] for $t\in(0,1]$. We show that the orthogonal functions in these expansions have simple expressions in term of Bessel functions. Moreover, we obtain that the $L^2[0,1]$ norm of $W_γ$ is identical in distribution with the $L^2[0,1]$ norm of the weighted Brownian bridge $t^γB(t)$.

math.PR↗