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Journal ArticleDOI

Nonparametric estimation of the gap time distributions for serial events with censored data

TLDR
In this article, a nonparametric estimator for the multivariate distribution function of the gap times between successive events when the follow-up time is subject to right censoring is presented.
Abstract
Summary In many follow-up studies, each subject can potentially experience a series of events, which may be repetitions of essentially the same event or may be events of entirely diVerent natures. This paper provides a simple nonparametric estimator for the multivariate distribution function of the gap times between successive events when the follow-up time is subject to right censoring. The estimator is consistent and, upon proper normalisation, converges weakly to a zero-mean Gaussian process with an easily estimated covariance function. Numerical studies demonstrate that both the distribution function estimator and its covariance function estimator perform well for practical sample sizes. An application to a colon cancer study is presented.

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Journal ArticleDOI

T-Cell–Replete HLA-Haploidentical Hematopoietic Transplantation for Hematologic Malignancies Using Post-Transplantation Cyclophosphamide Results in Outcomes Equivalent to Those of Contemporaneous HLA-Matched Related and Unrelated Donor Transplantation

TL;DR: Haploidentical transplants performed using T-cell-replete grafts and post-transplantation cyclophosphamide achieves outcomes equivalent to those of contemporaneous transplantation performed using MRDs and MUDs, indicating such transplantation represents a valid alternative for patients who lack a conventional donor.
Journal ArticleDOI

Risk factors for repeated cerebrospinal shunt failures in pediatric patients with hydrocephalus

TL;DR: By performing survival analysis for repeated events, the authors examined the effects of patient characteristics, shunt hardware, and surgical details in a large cohort of patients.
Journal ArticleDOI

Model Selection and Semiparametric Inference for Bivariate Failure-Time Data

TL;DR: In this paper, model selection procedures for bivariate survival models for censored data generated by the Archimedean copula family were proposed. Butler et al. proposed a goodness-of-fit-based model selection methodology as well as a graphical approach.
Journal ArticleDOI

Analyzing Recurrent Event Data With Informative Censoring

TL;DR: A major feature of this article is to treat the distributions of both the censoring and latent variables as nuisance parameters, to avoid modeling and estimating the nuisance parameters by proper procedures.
References
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Book

Statistical Models Based on Counting Processes

TL;DR: Statistical Models Based on Counting Processes (SBP) as discussed by the authors is a monograph for mathematical statisticians and biostatisticians, although almost all methods are given in sufficient detail to be used in practice by other mathematically oriented researchers studying event histories.
Journal ArticleDOI

Statistical Models Based on Counting Processes

TL;DR: "Statistical Models Based on Counting Processes" may be viewed as a research monograph for mathematical statisticians and biostatisticians, although almost all methods are given in sufficient detail to be used in practice by other mathematically oriented researchers studying event histories.
Book

Empirical processes with applications to statistics

TL;DR: In this paper, a broad cross-section of the literature available on one-dimensional empirical processes is summarized, with emphasis on real random variable processes as well as a wide-ranging selection of applications in statistics.
Journal ArticleDOI

Levamisole and Fluorouracil for Adjuvant Therapy of Resected Colon Carcinoma

TL;DR: Adjuvant therapy with levamisole and fluorouracil should be standard treatment for Stage C colon carcinoma, and this approach should be readily adaptable to conventional medical practice.
Book

Counting Processes and Survival Analysis

TL;DR: The Martingale Central Limit Theorem as mentioned in this paper is a generalization of the central limit theorem of the Counting Process and the Local Square Integrable Martingales (LSIM) framework.
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