Transformation of the bathtub failure rate data in reliability for using Weibull-model analysis

A New Finite Interval Lifetime Distribution Model for Fitting Bathtub-Shaped Failure Rate Curve

“…Both Beta distribution and Mudholkar's DTM model [10] can be classified into bathtub model on finite interval, and failure rate function of Beta distribution is given by Ghitany [11] showed that ℎ( ) is bathtub-shaped if < 1, and failure rate function of DTM through data transformation is…”

“…(a) Mudholkar's DTM model [10], which is threeparameter model on finite interval is the submodel of FIRE when = ; (b) Jiang's FSM model [3], which is a three-parameter model on finite interval; (c) Almalki's NMW model [4] [12], whose submodels include Chen's model; it is a three-parameter model on infinite interval; (e) Wang's ABXII model [5], which is a six-parameter model on infinite interval; (f) Lemonte's ENH model [7], which is a new three-parameter family of exponential-type distributions on infinite interval.…”

Clustering Empirical Failure Rate Curves for Reliability Prediction Purposes in the Case of Consumer Electronic Products

“…[17][18][19][20][21] Lai et al 11 gives an overview of bathtub-shaped failure rate distributions. There are three typical trends of methods to establish a bathtub curve model: 22 looking for an appropriate model, modifying the traditional model by complementing it with additional parameters, and transforming the data to achieve compatibility with a well-understood and convenient traditional model. Many literatures analyze the turning point of the failure rate function, which helps to determine and plan appropriate burn-in, maintenance, and repair policies and strategies.…”

A Class of Distributions Defined by Quantile Density Function

“…Figure 11 provides the plot of the non-parametric estimatorĤ(u) which clearly shows that the the plot is bathtub shaped. In the literature several authors suggested various distributions to fit the Aarset data(see Lai et al (2003), Bebbington et al (2008) and Mudholkar et al (2009)). But even though, those models give reasonable fit to the data with bathtub failure rate, no model had Ushaped density.…”