Exponentiated Teissier distribution with increasing, decreasing and bathtub hazard functions
© 2020 Informa UK Limited, trading as Taylor & Francis Group.
| Veröffentlicht in: | Journal of applied statistics. - 1991. - 49(2022), 2 vom: 16., Seite 371-393 |
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| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
2022
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| Zugriff auf das übergeordnete Werk: | Journal of applied statistics |
| Schlagworte: | Journal Article 60E05 62F10 62F99 Exponentiated family Teissier distribution estimation identifiability mean residual life moments |
| Zusammenfassung: | © 2020 Informa UK Limited, trading as Taylor & Francis Group. This article introduces a two-parameter exponentiated Teissier distribution. It is the main advantage of the distribution to have increasing, decreasing and bathtub shapes for its hazard rate function. The expressions of the ordinary moments, identifiability, quantiles, moments of order statistics, mean residual life function and entropy measure are derived. The skewness and kurtosis of the distribution are explored using the quantiles. In order to study two independent random variables, stress-strength reliability and stochastic orderings are discussed. Estimators based on likelihood, least squares, weighted least squares and product spacings are constructed for estimating the unknown parameters of the distribution. An algorithm is presented for random sample generation from the distribution. Simulation experiments are conducted to compare the performances of the considered estimators of the parameters and percentiles. Three sets of real data are fitted by using the proposed distribution over the competing distributions |
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| Beschreibung: | Date Revised 20.09.2024 published: Electronic-eCollection CommentIn: J Appl Stat. 2023 Dec 21;51(13):2709-2714. doi: 10.1080/02664763.2023.2297149. - PMID 39300975 Citation Status PubMed-not-MEDLINE |
| ISSN: | 0266-4763 |
| DOI: | 10.1080/02664763.2020.1813694 |