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EnglishIn this paper we discuss the problem on parametric and non parametric estimation of the distributions generated by the Marshall-Olkin copula. This copula comes from the Marshall-Olkin bivariate exponential distribution used in reliability analysis. Through this copula we can extend the Marshall-Olkin distribution in order to construct several bivariate survival functions. The cumulative distribution functions of these distributions are not absolute continuous functions and they unknown parameters are often not be obtained in explicit form. In particular we consider the IFM method to find the Marshall-Olkin copula estimator, presenting the copula likelihood function. We compare this procedure with a non parametric estimator of the copula, the bivariate empirical copula, used to evaluate the copula goodness of fit. The estimate procedures described are verified through several simulation. One data-set is analyzed for a illustrative purpose.
| Autori: | |
| Titolo: | Parametric and non-parametric estimate of bivariate survival functions: the copula approach |
| Data di pubblicazione: | 2010 |
| Abstract: | In this paper we discuss the problem on parametric and non parametric estimation of the distributions generated by the Marshall-Olkin copula. This copula comes from the Marshall-Olkin bivariate exponential distribution used in reliability analysis. Through this copula we can extend the Marshall-Olkin distribution in order to construct several bivariate survival functions. The cumulative distribution functions of these distributions are not absolute continuous functions and they unknown parameters are often not be obtained in explicit form. In particular we consider the IFM method to find the Marshall-Olkin copula estimator, presenting the copula likelihood function. We compare this procedure with a non parametric estimator of the copula, the bivariate empirical copula, used to evaluate the copula goodness of fit. The estimate procedures described are verified through several simulation. One data-set is analyzed for a illustrative purpose. |
| Lingua: | Inglese |
| Titolo del libro: | Conference proceeding of XLV Riunione Scientifica della Società Italiana di Statistica |
| ISBN: | 978-88-6129-566-7 |
| Editore: | N/A |
| Nome del convegno: | XLV scientific meeting of the Italian Statistical Society |
| Luogo del convegno: | Padova |
| Data inizio evento: | 2010-06-16 |
| Data fine evento: | 2010-06-18 |
| Citazione: | Osmetti, S. A., Parametric and non-parametric estimate of bivariate survival functions: the copula approach, in Conference proceeding of XLV Riunione Scientifica della Società Italiana di Statistica, (Padova, 16-18 June 2010), N/A, Padova 2010: 1-8 [http://hdl.handle.net/10807/19738] |
| Appare nelle tipologie: | Atti di Convegno, Congresso, Giornate di studio, ecc., Workshop (in volume) |
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