The Weibull distribution remains an indispensable tool in reliability engineering and lifetime analysis, offering flexibility for modelling diverse failure behaviours. Modern parameter estimation ...

Exponentiated Weibull distribution, introduced as an extension of the Weibull distribution, is characterized by bathtub shaped, unimodal failure rates besides a broader class of monotone failure rates ...

Abstract: In modern refinery and chemical production, equipment is the lifeblood and foundation of enterprise safety production. The reliability analysis of the rotating equipment is aimed at the ...

In this paper we estimate 𝑅 = P{𝑋 < 𝑌} when 𝑋 and 𝑌 are independent random variables following the Peng-Yan extended Weibull distribution. We find maximum likelihood estimator of 𝑅 and its ...

Here’s a way to calculate the reliability for designs with several subsystems. • Weibull plots fit a curve through data, not data to a predetermined distribution’s curve. • After evaluating subsystems ...

Abstract: Due to increasing per capita energy consumption and exponential rising population, power system losses increasingly and reliability decreasing. The distributed generator can improve the ...

This example considers a data set given in Lawless (1982). The data are the number of days it took rats painted with a carcinogen to develop carcinoma. The last two observations are censored. Maximum ...