Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: U-Statistics for Left Truncated and Right Censored Data   The analysis left truncated and right censored data is very common in
survival and reliability analysis. In lifetime studies patients often subject
to left truncation in addition to right censoring. For example, in bone marrow
transplant studies based on International Bone Marrow Transplant Registry
(IBMTR), the patients who die while waiting for the transplants will not be
reported to the IBMTR. In this paper, we develop novel U-statistics under left
truncation and right censoring. We prove the $\sqrt{n}$-consistency of the
proposed U-statistics. We derive the asymptotic distribution of the
U-statistics using counting process technique. As an application of the
U-statistics, we develop a simple non-parametric test for testing the
independence between time to failure and cause of failure in competing risks
when the observations are subject to left truncation and right censoring. The
finite sample performance of the proposed test is evaluated through Monte Carlo
simulation study. Finally we illustrate our test procedure using lifetime data
of transformers.

14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph