Published January 1, 2010 | Version v1
Publication Open

Kernel regression uniform rate estimation for censored data under α-mixing condition

Creators

  • 1. Université Lille Nord de France
  • 2. Université de Lille
  • 3. Université du littoral côte d'opale
  • 4. University of Sciences and Technology Houari Boumediene

Description

In this paper, we study the behavior of a kernel estimator of the regression function in the right censored model with α-mixing data.The uniform strong consistency over a real compact set of the estimate is established along with a rate of convergence.Some simulations are carried out to illustrate the behavior of the estimate with different examples for finite sample sizes.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

في هذه الورقة، ندرس سلوك مقدر النواة لدالة الانحدار في النموذج الصحيح الخاضع للرقابة مع بيانات خلط α. يتم إنشاء الاتساق القوي الموحد على مجموعة مدمجة حقيقية من التقدير جنبًا إلى جنب مع معدل التقارب. يتم إجراء بعض عمليات المحاكاة لتوضيح سلوك التقدير بأمثلة مختلفة لأحجام العينات المحدودة.

Translated Description (English)

In this paper, we study the behavior of a kernel estimator of the regression function in the right censored model with α-mixing data. The uniform strong consistency over a real compact set of the estimate is established along with a rate of convergence. Some simulations are carried out to illustrate the behavior of the estimate with different examples for finite sample sizes.

Translated Description (French)

In this paper, we study the behavior of a kernel estimator of the régression function in the right censored model with α-mixing data.The uniform strong consistency over a real compact set of the estimate is established along with a rate of convergence.Some simulations are carried out to illustrate the behavior of the estimate with different examples for finite sample sizes.

Translated Description (Spanish)

In this paper, we study the behavior of a kernel estimator of the regression function in the right censored model with α-mixing data.The uniform strong consistency over a real compact set of the estimate is established along with a rate of convergence.Some simulations are carried out to illustratrate the behavior of the estimate with different examples for finite sample sizes.

Files

08-EJS195.pdf.pdf

Files (281.2 kB)

⚠️ Please wait a few minutes before your translated files are ready ⚠️ Note: Some files might be protected thus translations might not work.
Name Size Download all
md5:128a059ca53cbf176ea36184305adec8
281.2 kB
Preview Download

Additional details

Additional titles

Translated title (Arabic)
تقدير معدل انحدار النواة الموحد للبيانات الخاضعة للرقابة في ظل حالة خلط ألفا
Translated title (English)
Kernel regression uniform rate estimation for censored data under α-mixing condition
Translated title (French)
Kernel régression uniform rate estimation for censored data under α-mixing condition
Translated title (Spanish)
Kernel regression uniform rate estimation for censored data under α-mixing condition

Identifiers

Other
https://openalex.org/W1998385577
DOI
10.1214/08-ejs195

Is supplement to
https://openalex.org/W2952083248 (Other)
https://openalex.org/W2397896444 (Other)
https://openalex.org/W2384698507 (Other)
https://openalex.org/W2382492642 (Other)
https://openalex.org/W2369372990 (Other)
https://openalex.org/W2347434418 (Other)
https://openalex.org/W2092260586 (Other)
https://openalex.org/W2010419919 (Other)
https://openalex.org/W1981358511 (Other)
https://openalex.org/W122742822 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Algeria

References

  • https://openalex.org/W1549098439
  • https://openalex.org/W1967787804
  • https://openalex.org/W1979575715
  • https://openalex.org/W1999996900
  • https://openalex.org/W2013655805
  • https://openalex.org/W2019216147
  • https://openalex.org/W2042014923
  • https://openalex.org/W2042257699
  • https://openalex.org/W2051470810
  • https://openalex.org/W2083044940
  • https://openalex.org/W2091532036
  • https://openalex.org/W2119449891
  • https://openalex.org/W2124847718
  • https://openalex.org/W2132268306
  • https://openalex.org/W4206419526
  • https://openalex.org/W4238717354
  • https://openalex.org/W4251580743
  • https://openalex.org/W4292026806
  • https://openalex.org/W4293241248
  • https://openalex.org/W4298876635
  • https://openalex.org/W929100518