ACSred: Acute Coronary Syndrome reduced data
In DTDA: Doubly Truncated Data Analysis

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The data include information of 917 patients with confirmed diagnosis of type 1 (primary spontaneous) acute coronary syndrome (ACS). Patients were consecutively admitted to the Cardiology Department of two tertiary hospitals in Portugal between August 2013 and December 2014. The age at diagnosis is doubly truncated because of the interval sampling. This dataset is a reduced sample of the original ACS data, guaranteeing the existence and uniqueness of the NPMLE, according to Xiao and Hudgens (2020)

1	data(ACSred)

A data frame with 917 observations on the following 5 variables.

X: a numeric vector, age at diagnosis (in years).
U: a numeric vector, the elapsed time (in years) between birth and the beggining of the study (August 2013).
V: a numeric vector, the elapsed time (in years) between birth and end of the study (December 2014).
Sex: a numeric vector, sex of the participants (0 = female, 1 = male).
diagnosis: a numeric vector, type of diagnosis at discharge 1 - STEMI (ST elevation myocardial infarction ) and 2 - NSTEACS (all others diagnoses).

The age at diagnosis X is doubly truncated due to the interval sampling. The length of the sampling interval (V-U) is 1.42 years. The NPMLE of the cumulative distribution function of X for the complete data does not exist or is not unique for this dataset.

Araújo C, Laszczynska O, Viana M, Melão F, Henriques A, Borges A, Severo M, Maciel MJ, Moreira I, Azevedo A (2018) Sex differences in presenting symptoms of acute coronary syndrome: the EPIHeart cohort study. BMJ Open 8.

Moreira C, de Uña-Álvarez J, Santos AC and Barros H (2021) Smoothing Methods to estimate the hazard rate under double truncation. https://arxiv.org/abs/2103.14153.

Xiao J and Hudgens MG (2020) On nonparametric maximum likelihood estimation with double truncation. Biometrika 106, 989-996.

ACS