Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Nonparametric Inference for Rates with Censored Survival Data

Brian S. Yandell
The Annals of Statistics
Vol. 11, No. 4 (Dec., 1983), pp. 1119-1135
Stable URL: http://www.jstor.org/stable/2241302
Page Count: 17
  • Read Online (Free)
  • Download ($19.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Nonparametric Inference for Rates with Censored Survival Data
Preview not available

Abstract

This paper concerns nonparametric inference for hazard rates with censored serial data. The focus is upon "delta sequence" estimators of the form hn(x) = ∫ Kb(x, y) dHn(y) with Kb integrating to 1 and concentrating mass near x as b → 0. Hn is the Nelson-Aalen empirical cumulative hazard. Strong approximation and simultaneous confidence bands are derived for Rosenblatt-Parzen estimators, with Kb(x, y) = w((x - y)/b)/b, b = o(n-1), and w(·) a well-behaved density. This work generalizes global deviation and mean square deviation results of Bickel and Rosenblatt and others to censored survival data. Simulations with exponential survival and censoring indicate the effect of censoring on bias, variance, and maximal absolute deviation. Data from a survival experiment with serial sacrifice are analysed.

Page Thumbnails

  • Thumbnail: Page 
1119
    1119
  • Thumbnail: Page 
1120
    1120
  • Thumbnail: Page 
1121
    1121
  • Thumbnail: Page 
1122
    1122
  • Thumbnail: Page 
1123
    1123
  • Thumbnail: Page 
1124
    1124
  • Thumbnail: Page 
1125
    1125
  • Thumbnail: Page 
1126
    1126
  • Thumbnail: Page 
1127
    1127
  • Thumbnail: Page 
1128
    1128
  • Thumbnail: Page 
1129
    1129
  • Thumbnail: Page 
1130
    1130
  • Thumbnail: Page 
1131
    1131
  • Thumbnail: Page 
1132
    1132
  • Thumbnail: Page 
1133
    1133
  • Thumbnail: Page 
1134
    1134
  • Thumbnail: Page 
1135
    1135