This is a brief survey of product-integration for biostatisticians. 1 Product-Integration Product-integration was introduced more than 110 years ago by the Italian mathematician Vito Volterra, as a tool in the solution of a certain class of differential equations. It was studied intensively by mathematicians for half a century, but finally the subject became unfashionable and lapsed into obscur...

Cartilage-selective genes identified in a genome-scale analysis of non-cartilage and cartilage gene expression. BMC Genomics 2007, 8:165 doi:10.1186/1471-2164-8-165 Vincent A Funari ([email protected]) Allen Day ([email protected]) Deborah Krakow ([email protected]) Zachary A Cohn ([email protected]) Zugen Chen ([email protected]) Stanley F Nelson ([email protected]) Daniel H Cohn (dan....

The Kaplan{Meier estimator of a survival function is used when cause of failure (censored or non-censored) is always observed. A method of survival function estimation is developed under the assumption that the failure indicators are missing completely at random (MCR). The resulting estimator is a smooth functional of the Nelson{Aalen estimators of certain cumulative transition intensities. The...

The Kaplan–Meier estimator is a nonparametric estimator which may be used to estimate the survival distribution function from censored data. The estimator may be obtained as the limiting case of the classical actuarial (life table) estimator, and it seems to have been first proposed by Böhmer [2]. It was, however, lost sight of by later researchers and not investigated further until the importa...

We consider the problem of uniform asymptotics in kernel functional estimation where the bandwidth can depend on the data. In a unified approach we investigate kernel estimates of the density and the hazard rate for uncensored and right-censored observations. The model allows for the fixed bandwidth as well as for various variable bandwidths, e.g. the nearest neighbor bandwidth. An elementary p...

Nelson and Startz (Econometrica, 58, 1990), Maddala and Jong (Econometrica, 60, 1992) and Wolgrom (Econometrica, 69, 2001) have shown that the density of the two-stage least squares estimator may be bimodal in a just identified structural equation. This paper further investigates the conditions under which bimodality may arise in a just/over-identified model. JEL Classification C30

Non-parametric estimation of a survival function from left truncated data subject to right censoring has been extensively studied in the literature. It is commonly assumed in such studies that the lifetime variables are a sample of independent and identically distributed random variables from the target population. This assumption is often prone to failure in practical studies. For instance, wh...

A new function for the competing risks model, the conditional cumulative hazard function, is introduced, from which the conditional distribution of failure times of individuals failing due to cause j can be studied. The standard Nelson-Aalen estimator is not appropriate in this setting, as population membership (mark) information may be missing for some individuals owing to random right-censori...

BACKGROUND Incidence and lifetime risk of diabetes are important public health measures. Traditionally, nonparametric estimates are obtained from survey data by means of a Nelson-Aalen estimator which requires data information on both incident events and risk sets from the entire cohort. Such data information is rarely available in real studies. METHODS We compare two different approaches for...

1. Tautz TJ, Urwyler A, Antognini JF, Riou B: Case scenario: Increased end-tidal carbon dioxide. A diagnostic dilemma. ANESTHESIOLOGY 2010; 112:440 – 6 2. Kwetny IM, Finucane BT: Negative arterial to end-tidal carbon dioxide gradient: An additional sign of malignant hyperthermia during desflurane anesthesia. Anest Analg 2006; 102:815–7 3. Larach MG, Localio AR, Allen GC, Denborough MA, Ellis FR...