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Stochastic properties of generalized finite mixture models with dependent components
| Content Provider | Scilit |
|---|---|
| Author | Amini-Seresht, Ebrahim Balakrishnan, Narayanaswamy |
| Copyright Year | 2021 |
| Description | In this paper we consider a new generalized finite mixture model formed by dependent and identically distributed (d.i.d.) components. We then establish results for the comparisons of lifetimes of two such generalized finite mixture models in two different cases: (i) when the two mixture models are formed from two random vectors $\textbf{X}$ and $\textbf{Y}$ but with the same weights, and (ii) when the two mixture models are formed with the same random vectors but with different weights. Because the lifetimes of k-out-of-n systems and coherent systems are special cases of the mixture model considered, we used the established results to compare the lifetimes of k-out-of-n systems and coherent systems with respect to the reversed hazard rate and hazard rate orderings. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/40B484106EC5FBAC23ED360DA94434FD/S0021900221000048a.pdf/div-class-title-stochastic-properties-of-generalized-finite-mixture-models-with-dependent-components-div.pdf |
| Ending Page | 804 |
| Page Count | 11 |
| Starting Page | 794 |
| ISSN | 00219002 |
| e-ISSN | 14756072 |
| DOI | 10.1017/jpr.2021.4 |
| Journal | Journal of applied probability |
| Issue Number | 3 |
| Volume Number | 58 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2021-09-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of applied probability Interdisciplinary Mathematics Coherent System n System Stochastic Order Generalized Mixture Model Copula Function |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistics, Probability and Uncertainty |
