The asymptotic joint distribution of the efficient scores test for the proportional hazards model calculated over time

1981/01/01 by Anastasios A. Tsiatis, ANASTASIOS A. TSIATIS · 163 citations
Mathematics · #Applied mathematics #Econometrics #Joint (building) #Joint probability distribution #Mathematics #Statistical Methods and Bayesian Inference #Statistical Methods and Inference #Statistical Methods in Clinical Trials #Statistics #Test (biology)

paper · doi:10.1093/biomet/68.1.311

published in Biometrika 68(1), 311-315 (Oxford University Press)

openalex publication_date 1981/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

The score statistic of the proportional hazards model calculated at different points in time is shown to converge asymptotically to a multivariate normal process with independent increments when individuals enter randomly throughout the course of the study.

Cited by

• A Group Sequential Test for Treatment Effect Based on the Fine–Gray Model
• Group sequential clinical trial designs for composite endpoints incorporating recurrent and terminal events
• Cox's Regression Model for Counting Processes: A Large Sample Study
• Planning and Analyzing Adaptive Group Sequential Survival Trials
• Exhausting the type I error level in event-driven group-sequential designs with a closed testing procedure for progression-free and overall survival
• Bayesian models for survival data of clinical trials: Comparison of implementations using R software
• Bayesian Approaches to Randomized Trials
• Extended duration dual antiplatelet therapy and mortality: a systematic review and meta-analysis
• Designs for clinical trials with time-to-event outcomes based on stopping guidelines for lack of benefit. [europepmc]
• Incorporating individual historical controls and aggregate treatment effect estimates into a Bayesian survival trial: a simulation study. [europepmc]
• International randomised controlled trial for the treatment of newly diagnosed EWING sarcoma family of tumours - EURO EWING 2012 Protocol. [europepmc]

Related

• Sample-Size Formula for the Proportional-Hazards Regression Model
• A TEST FOR HOMOGENEITY OF THE MARGINAL DISTRIBUTIONS IN A TWO-WAY CLASSIFICATION
• Principles of Biostatistics
• Efficient Semiparametric Estimation of Short-term and Long-term Hazard Ratios with Right-Censored Data
• NOTE ON AN EXACT TREATMENT OF CONTINGENCY, GOODNESS OF FIT AND OTHER PROBLEMS OF SIGNIFICANCE