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

Author

Listed:
  • Adrián Lago

    (CITMAga, Universidade de Vigo)

  • Jacobo Uña-Álvarez

    (CITMAga, Universidade de Vigo)

  • Juan Carlos Pardo-Fernández

    (CITMAga, Universidade de Vigo)

Abstract

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.

Suggested Citation

  • Adrián Lago & Jacobo Uña-Álvarez & Juan Carlos Pardo-Fernández, 2025. "A Kolmogorov–Smirnov-type test for the two-sample problem with left-truncated data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 34(1), pages 69-90, March.
    • Handle: RePEc:spr:testjl:v:34:y:2025:i:1:d:10.1007_s11749-024-00948-4
    DOI: 10.1007/s11749-024-00948-4
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