The generalized Bilal (GB) distribution can be defined as the of median three independent random variables drawn from Weibull distribution. Its failure rate function monotonic (decreasing or increasing) upside-down bathtub-shaped. In this study, we aim to reveal some important properties GB that have not been considered before. findings are both theoretical and practical. From viewpoint, presen...

In this article, a four parameter lifetime model called the Topp–Leone modified Weibull distribution is proposed. The suggested can be considered as an alternative to Kumaraswamy Weibull, generalized extend odd Lomax, Weibull-Lomax, Marshall-Olkin alpha power extended and exponentiated exponential distributions, etc. includes Topp-Leone Linear failure rate, Rayleigh distributions special case. ...

With the high demands on quality of high-tech products for consumers, assuring lifetime performance is a very important task competitive manufacturing industries. The index CL frequently used to monitor larger-the-better products. This research related topic asymmetrical probability distributions and applications across disciplines. Chen distribution with bathtub shape or increasing failure rat...

The two reliability models most widely used in engineering applications are the exponential and Weibull. Both deficient because their failure rates do not conform to bathtub curve nor specify infant mortality period. In addition, Weibull require lifetime data which entails testing or field observations usually proprietary. advantage of model is that it can be supported by both MIL handbook data...

Systems with different lifetime distributions, associated with increasing, decreasing, constant, and bathtub-shaped hazard rates, are examined in this paper. It is assumed that a failure is only detected if systems are inspected. New approximate solutions for the inspection period and for the expected duration of hidden faults are presented, on the basis of the assumption that only periodic and...

This study introduces a unique flexible family of discrete probability distributions for modeling extreme count and zero-inflated data with different failure rates. Certain significant mathematical properties, such as the cumulant generating function, moment dispersion index, L-moments, ordinary moments, central are derived. The new rate function offers wide range flexibility, including “upside...

The typical bathtub curve and its “standard”shape have been widely accepted as an engineering tool in reliability management and training. However, some recent researches reveal that the typical theory of ‘bathtub curve’is not so convincing in some situations. Therefore, a critical discussion is developed to research the bath-tub curve along three significant periods of bath-tub; i.e. infant mo...

In this paper, we introduce the Birnbaum-Saunders power series class of distributions which is obtained by compounding Birnbaum-Saunders and power series distributions. The new class of distributions has as a particular case the two-parameter Birnbaum-Saunders distribution. The hazard rate function of the proposed class can be increasing and upside-down bathtub shaped. We provide important math...