The present paper is devoted to introduce a four-parameter modification of new flexible Weibull distribution. The proposed model will be called modified new flexible Weibull distribution, able to model lifetime phenomena with increasing or bathtub-shaped failure rates. Some of its mathematical properties will be studied. The approach of maximum likelihood will be used for estimating the model p...

In this paper, we present an optimal burn-in model for repairable assembly products (RAP) sold under warranty. The general repairable products, sold under warranty and optimal burn-in model by Sheu (2004) are further extended to the case in which the probability of type II failure is independent for a parent item. This paper investigates a parent item (product or system) made up of two items (s...

A class of semi-parametric hazard/failure rates with a bathtub shape is of interest. It does not only provide a great deal of flexibility over existing parametric methods in the modeling aspect but also results in a closed and tractable Bayes estimator for the bathtub-shaped failure rate (BFR). Such an estimator is derived to be a finite sum over two S-paths due to an explicit posterior analysi...

This paper presents a warranty forecasting method based on stochastic simulation of expected product warranty returns. This methodology is presented in the context of a high-volume product industry and has a specific application to automotive electronics. The warranty prediction model is based on a piecewise application of Weibull and exponential distributions, having three parameters, which ar...

This paper proposes different types of exact (or approximate) confidence intervals and exact (or approximate) joint confidence regions for the parameters of the twoparameter lifetime distribution with bathtub-shaped or increasing failure rate (IFR) function based on a type II right censored sample. Moreover, we provide optimal criteria for finding a best exact (or approximate) confidence interv...

We consider a new failure time distribution by combining three Weibull distributions. The proposed exhibits decreasing, increasing, and bathtub-shaped rate functions. Some statistical properties of the are presented. maximum likelihood method is used to estimate parameters, reliability, functions distribution, uncertainties estimates obtained using asymptotic confidence intervals. cross-entropy...

The bathtub model has often been cited as a hazard rate profile that predicts not only human mortality but also the of manufactured products. This article examines inapplicability to predict electronic components, products, and systems. reviews various literature uses numerous experiments field failure data support its argument. factors affecting electronics are then discussed, common trends fo...

This article introduces a new flexible four parameter distribution by convolution of the exponential and Weibull using odd function transformation, which offers greater flexibility in terms fit, its called modified exponential-Weibull (MEW). The MEW model is designed to provide more accurate description failure time data resulting from system with one or modes characterized hazard rate (HR) tha...

Models with bathtub-shaped hazard function have been widely accepted in the field of reliability and medicine and are particularly useful in reliability related decision making and cost analysis. In this paper, the exponential power model capable of assuming increasing as well as bathtub-shape, is studied. This article makes a Bayesian study of the same model and simultaneously shows how poster...

The development of life time analysis started back in the $20^{textit{th}}$ century and since then comprehensive developments have been made to model life time data efficiently. Recent development in measurements shows that all continuous measurements can not be measured as precise numbers but they are more or less fuzzy. Life time is also a continuous phenomenon, and has already been shown tha...