Weibull and Log-Weibull Laws in the Stationary-Nonstationary Chaos Transition Process

The Weibull – Log-Weibull Transition of Interoccurrence Time of Earthquakes

The Stationary - NonStationary Process and The Variable Roots Difference Equations

Stochastic, processes can be stationary or nonstationary. They depend on the magnitude of shocks. In other words, in an auto regressive model of order one, the estimated coefficient is not constant. Another finding of this paper is the relation between estimated coefficients and residuals. We also develop a catastrophe and chaos theory for change of roots from stationary to a nonstationary one ...

A log-extended Weibull regression model

A bathtub-shaped failure rate function is very useful in survival analysis and reliability studies. The well-known lifetime distributions do not have this property. For the first time, we propose a location-scale regression model based on the logarithm of an extended Weibull distribution which has the ability to deal with bathtub-shaped failure rate functions. We use the method of maximum likel...

the stationary - nonstationary process and the variable roots difference equations

stochastic, processes can be stationary or nonstationary. they depend on the magnitude of shocks. in other words, in an auto regressive model of order one, the estimated coefficient is not constant. another finding of this paper is the relation between estimated coefficients and residuals. we also develop a catastrophe and chaos theory for change of roots from stationary to a nonstationary one ...

Log-New Weibull Extension Regression Models: Sensitivity and Residual Analysis

Standard lifetime distributions usually very place strong restrictions on the data as is well illustrated by their inability to produce bathtub curves, and thus to adequately interpret data with this character. Mudholkar et al. (1995) introduced the exponentiated-Weibull distribution and Xie et al. (2002) proposed the new Weibull extension distribution. The new Weibull extension distribution wi...