TY - JOUR
T1 - Nonparametric estimation of conditional cumulative hazards for missing population marks
AU - Bandyopadhyay, Dipankar
AU - Pumar, Amalia Jácome
PY - 2010/3
Y1 - 2010/3
N2 - 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-censoring. We propose the use of imputed population marks for the censored individuals through fractional risk sets. Some asymptotic properties, including uniform strong consistency, are established. We study the practical performance of this estimator through simulation studies and apply it to a real data set for illustration.
AB - 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-censoring. We propose the use of imputed population marks for the censored individuals through fractional risk sets. Some asymptotic properties, including uniform strong consistency, are established. We study the practical performance of this estimator through simulation studies and apply it to a real data set for illustration.
KW - Competing risks
KW - Fractional risk set
KW - Nelson-Aalen
KW - Right-censoring
UR - http://www.scopus.com/inward/record.url?scp=77949901134&partnerID=8YFLogxK
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U2 - 10.1111/j.1467-842X.2009.00567.x
DO - 10.1111/j.1467-842X.2009.00567.x
M3 - Article
C2 - 20717497
AN - SCOPUS:77949901134
SN - 1369-1473
VL - 52
SP - 75
EP - 91
JO - Australian and New Zealand Journal of Statistics
JF - Australian and New Zealand Journal of Statistics
IS - 1
ER -