| Title:
|
Compound geometric and Poisson models (English) |
| Author:
|
Hakamipour, Nooshin |
| Author:
|
Rezaei, Sadegh |
| Author:
|
Nadarajah, Saralees |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
51 |
| Issue:
|
6 |
| Year:
|
2015 |
| Pages:
|
933-959 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Many lifetime distributions are motivated only by mathematical interest. Here, eight new families of distributions are introduced. These distributions are motivated as models for the stress of a system consisting of components working in parallel/series and each component has a fixed number of sub-components working in parallel/series. Mathematical properties and estimation procedures are derived for one of the families of distributions. A real data application shows superior performance of a three-parameter distribution (performance assessed with respect to Kolmogorov-Smirnov statistics, AIC values, BIC values, CAIC values, AICc values, HQC values, probability-probability plots, quantile-quantile plots and density plots) versus thirty one other distributions, each having at least three parameters. (English) |
| Keyword:
|
exponential distribution |
| Keyword:
|
exponentiated exponential distribution |
| Keyword:
|
maximum likelihood estimation |
| MSC:
|
62E99 |
| idZBL:
|
Zbl 06537789 |
| idMR:
|
MR3453679 |
| DOI:
|
10.14736/kyb-2015-6-0933 |
| . |
| Date available:
|
2016-01-21T18:18:14Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144818 |
| . |
| Reference:
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