Incorporation of Frailties Into a Non-Proportional Hazard Regression Model and Its Diagnostics for Reliability Modeling of Downhole Safety Valves by Francisco Louzada, Jose Alberto Cuminato, Oscar Mauricio Hernandez Rodriguez, Vera L. D. Tomazella, Eder Angelo Milani, Paulo Henrique Ferreira, Pedro Luiz Ramos, Gustavo Bochio, Ivan Carlos Perissini, Oilson Alberto Gonzatto Junior, Alex Leal Mota, Luis Felipe Acuna Alegria, Danilo Colombo, Paulo Guilherme Oliveira De Oliveira, Hugo Francisco Lisboa Santos, Marcus Vinicius De Campos De Magalhaes

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