Parameter Estimation for Type III Discrete Weibull Distribution : A Comparative Study
Author
Source
Journal of Probability and Statistics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The type III discrete Weibull distribution can be used in reliability analysis for modeling failure data such as the number of shocks, cycles, or runs a component or a structure can overcome before failing.
This paper describes three methods for estimating its parameters: two customary techniques and a technique particularly suitable for discrete distributions, which, in contrast to the two other techniques, provides analytical estimates, whose derivation is detailed here.
The techniques’ peculiarities and practical limits are outlined.
A Monte Carlo simulation study has been performed to assess the statistical performance of these methods for different parameter combinations and sample sizes and then give some indication for their mindful use.
Two applications of real data are provided with the aim of showing how the type III discrete Weibull distribution can fit real data, even better than other popular discrete models, and how the inferential procedures work.
A software implementation of the model is also provided.
American Psychological Association (APA)
Barbiero, Alessandro. 2013. Parameter Estimation for Type III Discrete Weibull Distribution : A Comparative Study. Journal of Probability and Statistics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-510398
Modern Language Association (MLA)
Barbiero, Alessandro. Parameter Estimation for Type III Discrete Weibull Distribution : A Comparative Study. Journal of Probability and Statistics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-510398
American Medical Association (AMA)
Barbiero, Alessandro. Parameter Estimation for Type III Discrete Weibull Distribution : A Comparative Study. Journal of Probability and Statistics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-510398
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510398