A new lifetime model with decreasing failure rate

A New Bathtub Shaped Failure Rate Model

In this paper, we introduce a new Bathtub shaped failure rate model named as x-Exponantial Model and present a comparative study with Generalized Lindley, Generalized Gamma and Exponentiated Weibull distributions.

New solution and its impact on Increasing, Decreasing and Bathtub shaped failure rate model

The maximum likelihood equations of IDB distribution can’t be solved analytically. Solutions of the MLE equations can be obtained numerically. But the problem is to detect the initial value of the parameters to solve the nonlinear MLE equations. A technique is developed for formulating the initial value of the parameter to solve the MLE equations of IDB distribution. Considering all the facts, ...

A New Continuous Multi-State Reliability Model with Time Dependent Component Performance Rate

A CSS1†is a system with the continues-state components. When a component has the ability to obtain all the situations from completely working to completely failed, it named continues-state component. In the real world, performance rate of elements are continuous and decrease by time. Continuity of components causes infinite working states and grows up the system states. In this paper we propose...

The Lifetime Behavior of a New Discrete Time Mixed $delta$-shock Model

In this study, a mixed $delta$-shock model with discrete-time is defined by combining $delta$-shock and extreme shock models. In this model, a system with multiple states fails in two ways: first, when k interarrival times between two consecutive shocks with magnitude larger than the critical threshold $gamma$ are in $[delta_1, delta _2], delta_1 < delta _2$; and second, when the interarrival t...

decreasing high failure rate of vaccinations in patients with chronic kidney disease; not just a matter of quantity