Estimation of the change point of a distribution based on the number of failed test items

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

  • Zhenmin Chen - , Florida International University (Autor:in)
  • Dietmar Ferger - , Professur für Mathematische Statistik, Technische Universität Dresden (Autor:in)
  • Jie Mi - , Florida International University (Autor:in)

Abstract

This paper discusses the family of life distributions with failure rate functions which decrease initially until a change point and remain constant thereafter. The paper focuses on the estimation for the change point of the failure rate function. While point estimation of the change point of the failure rate function has been discussed by some authors, one can hardly find any existing work on the interval estimation of the change point. In this paper, a method for constructing approximate confidence intervals for the change point is proposed. The proposed approximate confidence intervals are based on the number of failed test items at or before a fixed inspection time.

Details

OriginalspracheEnglisch
Seiten (von - bis)31-38
Seitenumfang8
FachzeitschriftMetrika
Jahrgang53
Ausgabenummer1
PublikationsstatusVeröffentlicht - 2001
Peer-Review-StatusJa

Schlagworte

Schlagwörter

  • Central limit theorem, Failure rate function, Inspection time, Strassen-type invariance principle