A Lifetime Distribution With an Upside-Down Bathtub-Shaped Hazard Function

Author

Dimitrakopoulou, Theodora ; Adamidis, Konstantinos ; Loukas, Sotirios

Author_Institution

Dept. of Math., Ioannina Univ.

Volume

56

Issue

2

fYear

2007

fDate

6/1/2007 12:00:00 AM

Firstpage

308

Lastpage

311

Abstract

A three-parameter lifetime distribution with increasing, decreasing, bathtub, and upside down bathtub shaped failure rates is introduced. The new model includes the Weibull distribution as a special case. A motivation is given using a competing risks interpretation when restricting its parametric space. Various statistical properties, and reliability aspects are explored; and the estimation of parameters is studied using the standard maximum likelihood procedures. Applications of the model to real data are also included

Keywords

Weibull distribution; failure analysis; maximum likelihood estimation; parameter estimation; reliability; risk analysis; Weibull distribution; failure rate; hazard function; lifetime distribution; maximum likelihood procedure; parameter estimation; reliability; risks interpretation; upside-down bathtub curve; Aging; Educational products; Educational programs; Hazards; Mathematics; Maximum likelihood estimation; Parameter estimation; Shape; Vocational training; Weibull distribution; Bathtub curve; competing risks; hazard function; lifetime distribution; maximum likelihood estimation; survival function; upside-down bathtub curve;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/TR.2007.895304

Filename

4220782