Inference on parameters of a geometric process with scaled muth distribution
| dc.contributor.author | Bicer C. | |
| dc.contributor.author | Bakouch H.S. | |
| dc.contributor.author | Bicer H.D. | |
| dc.date.accessioned | 2021-01-14T18:11:22Z | |
| dc.date.available | 2021-01-14T18:11:22Z | |
| dc.date.issued | 2020 | |
| dc.department | KKÜ | |
| dc.description.abstract | The problem of statistical modeling of the geometric count data with a specific probability model of lifetimes is of interest and importance in reliability. In this paper, we construct a geometric process (GP), with parameter a, for modeling the geometric count data when the distribution of first occurrence time is a scaled Muth with parameters ? and ?. We investigate the estimators of the process parameters a, ? and ? from a point of approximations of classical and modified approach by using the different estimation methodologies such as the maximum likelihood, moments, least-squares and maximum spacing. We perform a simulation study to compare the estimation performance of the estimators obtained. Finally, we provide an illustrative analysis conducted on a real-world dataset to show the e±ciency of the GP model constructed in this paper against the alpha-series and renewal processes and exemplify the data modeling stages. Consequently, a forecasting to such data using the GP with the scaled Muth is investigated. © 2020 World Scientific Publishing Company. | en_US |
| dc.identifier.doi | 10.1142/S0219477521500061 | |
| dc.identifier.issn | 0219-4775 | |
| dc.identifier.scopus | 2-s2.0-85093529066 | |
| dc.identifier.scopusquality | #YOK | |
| dc.identifier.uri | https://doi.org/10.1142/S0219477521500061 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12587/12965 | |
| dc.identifier.wos | WOS:000613387100007 | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | World Scientific | en_US |
| dc.relation.ispartof | Fluctuation and Noise Letters | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Data modeling | en_US |
| dc.subject | Estimation methods | en_US |
| dc.subject | Geometric process | en_US |
| dc.subject | Monotonic process | en_US |
| dc.subject | Trending successive inter-arrival times | en_US |
| dc.title | Inference on parameters of a geometric process with scaled muth distribution | en_US |
| dc.type | Article |
