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 ...

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 ...

This example illustrates probability plotting and distribution fitting for data grouped by the levels of a special group-variable. The data are from an accelerated life test of an insulating fluid and ...

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 ...