We derive the truncated version of Weibull—Pareto distribution, deriving probability density function, distribution average value, rth moment about origin, media, random generation values and maximum likelihood estimator which allows three parameters. The astrophysical applications are initial mass function for stars, luminosity galaxies Sloan Digital Sky Survey, QSO photometric 2 MASS Redshift...

In this study, we introduce a new familyof models for lifetime data called generalized extended Weibullpower series family of distributions by compoundinggeneralizedextended Weibull distributions and power series distributions. The compounding procedure follows the same setup carried out by Adamidis (1998). The proposed family contains all types of combinations between truncated discrete with g...

It is extremely difficult to predict the initiation time of cracking due to a large time spread in most cracking experiments. Thus, probabilistic models, such as the Weibull distribution, are usually employed to model the initiation time of cracking. Therefore, the parameters of the Weibull distribution are estimated from data collected from a cracking test. However, although the development of...

Survival and reliability analyses deal with incomplete failure time data, such as censored truncated data. Recently, the classical left-truncation scheme was generalized to analyze “field data”, defined samples collected within a fixed period. However, existing competing risks models dealing left-truncated field data are not flexible enough. We propose copula-based for latent times, permitting ...

Various characterizations of the distributions of the ratio of two independent gamma and exponential random variables as well as that of two independent Weibull random variables are presented. These characterizations are based, on a simple relationship between two truncated moments ; on hazard function ; and on functions of order statistics. Mathematics Subject Classification 2000: 46F10

This paper deals with free vibration analysis of continuously graded fiber reinforced (CGFR) truncated conical shell based on third-order shear deformation theory (TSDT), by developing special power-law distributions. The orthotropic (CGFR) truncated conical shell are clamped and simply supported at the both ends. It is assumed to have a smooth variation of fibers volume fraction in the thickne...