Rate of Occurrence of Failures (ROCOF) of Higher-Order for Markov Processes: Analysis, Inference and Application to Financial Credit Ratings

Verfasser / Beitragende:
[Guglielmo D'Amico]
Ort, Verlag, Jahr:
2015
Enthalten in:
Methodology and Computing in Applied Probability, 17/4(2015-12-01), 929-949
Format:
Artikel (online)
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024 7 0 |a 10.1007/s11009-015-9437-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s11009-015-9437-8 
100 1 |a D'Amico  |D Guglielmo  |u Dipartimento di Farmacia, Università G. d'Annunzio, 66013, Chieti, Italy  |4 aut 
245 1 0 |a Rate of Occurrence of Failures (ROCOF) of Higher-Order for Markov Processes: Analysis, Inference and Application to Financial Credit Ratings  |h [Elektronische Daten]  |c [Guglielmo D'Amico] 
520 3 |a In this paper we consider the problem of defining rate of occurrence of failures of higher orders for a system whose states form a finite state Markov jump process. Firstly, we derive an explicit formula for evaluating the rate of occurrence of failures of higher order for the system. Secondly, we propose a nonparametric statistical estimator of this function and we discuss its asymptotic properties. The covariance matrix and the asymptotic variance are computed by using the technology of multidimensional matrices. Finally, we provide applications to the modeling of financial credit ratings. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Rocof estimation  |2 nationallicence 
690 7 |a Plug-in estimator  |2 nationallicence 
690 7 |a Credit ratings  |2 nationallicence 
773 0 |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/4(2015-12-01), 929-949  |x 1387-5841  |q 17:4<929  |1 2015  |2 17  |o 11009 
856 4 0 |u https://doi.org/10.1007/s11009-015-9437-8  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s11009-015-9437-8  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a D'Amico  |D Guglielmo  |u Dipartimento di Farmacia, Università G. d'Annunzio, 66013, Chieti, Italy  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/4(2015-12-01), 929-949  |x 1387-5841  |q 17:4<929  |1 2015  |2 17  |o 11009