title: A Mixed Kijima Model Using the Weibull-Based Generalized Renewal Processes.
abstract: Generalized Renewal Processes are useful for approaching the rejuvenation of dynamical systems resulting from planned or unplanned interventions. We present new perspectives for the Generalized Renewal Processes in general and for the Weibull-based Generalized Renewal Processes in particular. Disregarding from literature, we present a mixed Generalized Renewal Processes approach involving Kijima Type I and II models, allowing one to infer the impact of distinct interventions on the performance of the system under study. The first and second theoretical moments of this model are introduced as well as its maximum likelihood estimation and random sampling approaches. In order to illustrate the usefulness of the proposed Weibull-based Generalized Renewal Processes model, some real data sets involving improving, stable, and deteriorating systems are used.
authors.affiliation: Department of Statistics and Informatics-Post-Graduate Program in Biometry and Applied Statistics, Federal Rural University of Pernambuco, Recife, Pernambuco, Brazil.
authors.forename: Ricardo José
authors.initials: RJ
authors.lastname: Ferreira
authors.affiliation: Federal University of Cariri, Juazeiro do Norte, Ceará, Brazil.
authors.forename: Paulo Renato Alves
authors.initials: PR
authors.lastname: Firmino
authors.affiliation: Department of Statistics and Informatics-Post-Graduate Program in Biometry and Applied Statistics, Federal Rural University of Pernambuco, Recife, Pernambuco, Brazil.
authors.forename: Cláudio Tadeu
authors.initials: CT
authors.lastname: Cristino
mesh_terms: D000465:Algorithms; D003625:Data Collection; D003627:Data Interpretation, Statistical; D016013:Likelihood Functions; D015233:Models, Statistical; D016012:Poisson Distribution; D011336:Probability; D016016:Proportional Hazards Models; D013598:Systems Theory