Document Type : Research Paper
Authors
1 Department of Statistics, Faculty of Mathematical Science Ferdowsi University of Mashhad
2 Department of Statistics, Faculty of Mathematical Science, Ferdowsi University of Mashhad
3 Yazd university
Abstract
This paper explores an extension of the bivariate Schur-constant model, introducing an additional parameter to its associated Archimedean copula for greater flexibility. We analyze the dependence properties of the proposed model and illustrate our findings with several examples. Furthermore, provide a likelihood ratio test to compare the performance of the extended Archimedean copula with that of the traditional Archimedean subfamily. Two real-data analysis are also included.
Keywords
599-616. https://doi.org/10.1002/(SICI)1099-095X
Springer US, (1993), 233-245.
453-461. https://doi.org/10.1080/03610928008827893
with Given Marginals and moment Problems, V. Benes and J. Stepen, eds., Kluwer, (1997), 81-6. https://doi.org/10.1007/978-94-011-5532-8-9.
Probability in the Engineering and Informational Sciences, 8(1) (1994), 103-111. https://doi.org/10.1017/
S0269964800003235
Analysis, 140 (2015), 343-362. https://doi.org/10.1016/j.jmva.2015.06.003
Analysis, 172 (2019), 47-58. https://doi.org/10.1016/j.jmva.2019.01.007
and Economics, 44 (2009), 398-408. https://doi.org/10.1016/j.insmatheco.2008.11.010
https://doi.org/10.1007/s00184-022-00859-0
Mathematical Sciences and Informatics, 9(2) (2014), 87-100. https://doi.org/10.7508/ijmsi.2014.02.008
Research of Iran, 9(2) (2013), 147-158. https://doi.org/10.18869/acadpub.jsri.9.2.147
generators, Iranian Journal of Fuzzy Systems, 18(2) (2021), 15-29. https://doi.org/10.22111/ijfs.2021.5911
of the Institute of Statistical Mathematics, 59 (2007), 487-498. https://doi.org/10.1007/s10463-006-0061-9
Journal of Multivariate Analysis, 8 (1978), 244-254. https://doi.org/10.1016/0047-259X(78)90075-1
Makeham model and its application to COVID-19 mortality data, Iranian Journal of Fuzzy Systems, 20(3) (2023),
159-175. https://doi.org/10.22111/ijfs.2023.7645
1-25. https://doi.org/10.1080/10920277.1998.10595667
donn´ees, Canadian Journal of Statistics, 14(2) (1986), 145-59. https://doi.org/10.2307/3314660
Mathematics and Economics, 44(2) (2009), 199-213. https://doi.org/10.1016/j.insmatheco.2007.10.005
698-707. https://doi.org/10.1080/01621459.1960.10483368
155 (2017), 317-333. https://doi.org/10.1016/j.jmva.2017.01.008
Letters, 180 (2022), 109233. https://doi.org/10.1016/j.spl.2021.109233
Vol. 1, John Wiley and Sons, New York, 2000.
225-242. https://doi.org/10.1515/demo-2021-0111
Applied Probability, 20 (2018), 1003-1012. https://doi.org/10.1007/s11009-017-9564-5
Methodology and Computing in Applied Probability, 23 (2021), 317-339. https://doi.org/10.1007/
s11009-019-09744-2
https://doi.org/10.2307/2532138
exponential distribution, Statistical Methods and Applications, 24 (2015), 61-83. https://doi.org/10.1007/
s10260-014-0276-5
10.1007/s001840400330
distributions, Brazilian Journal of Probability and Statistics, 28(3) (2014), 409-423. https://doi.org/10.1214/
12-BJPS215
theory, Metron, 72 (2014), 331-349. https://doi.org/10.1007/s40300-014-0045-0
and Statistics, 19 (2005), 179-190. https://www.jstor.org/stable/43601066
Archimedean copulas, Dependence Modeling, 6 (2018), 356-368. https://doi.org/10.1515/demo-2018-0020
In: Anh LH, Dong LS, Kreinovich V, Thach NN (eds) Econometrics for Financial Applications. Springer, Cham,
(2018), 890-901. https://doi.org/10.1007/978-3-319-73150-665
124 (2017), 69-76. https://doi.org/10.1016/j.spl.2017.01.007
models, Ricerche di Matematica, (2022), 1-16. https://doi.org/10.1007/s11587-022-00749-7
(2011), 292-317. https://doi.org/10.1080/03461238.2010.490021
(2017), 121-129. https://doi.org/10.1016/j.spl.2017.02.001
and Systems, 428 (2022), 1-33. https://doi.org/10.1016/j.fss.2021.04.003