A Kolmogorov–Smirnov-type test for the two-sample problem with left-truncated data

Adrián Lago ^[1] ; Jacobo de Uña-Álvarez ^[1] ; Juan Carlos Pardo-Fernández ^[1]
1. [1] Universidade de Vigo
  
  Universidade de Vigo
  
  Vigo, España
Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 34, Nº. 1, 2025, págs. 69-90
Idioma: inglés
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Resumen
- A Kolmogorov–Smirnov-type test for the two-sample problem with left-truncated data is proposed. The asymptotic null distribution of the test statistic and its omnibus consistency are established. A bootstrap resampling plan to approximate the null distribution of the test statistic is introduced. The finite sample performance of the proposed test is investigated through simulations. Comparison to the well-known log-rank test and a real data illustration are included.