Estimation of the number of failures in the Weibull model using the ordinary differential equation

► Estimation for number of failures in right truncated grouped data is dealt with. ► Objective is to predict the number of failures at the final stage as earlier as possible. ► The method using the likelihood has a tendency to predicted final number of failures to be small. ► Novelty is that not likelihood principle but differential equation is used. ► Differential equation method can predict the final stage accurately earlier than the method using likelihood.