A New Goodness-of-Fit Test for the Two-Parameter Weibull or Extreme-Value Distribution with Unknown Parameters

Optimal design of accelerated life testing plans for periodical replacement with penalty

“…3 shows that the Weibull distribution is an appropriate failure time model for this component and the shape parameter β could be assumed constant. Moreover, the Mann's test [14] with the significance level of 0.05 conducted for each stress level also supports the Weibull distribution assumption. For other goodness-of-fit tests for the Weibull distribution, see Cabana and Quiroz [4], and Lockhart et al [12].…”

Definition of time operation of the valve shutoff system of gasified premises explosion safety

“…Манн [4] и другие исследователи [5 -7] разрабо-тали критерий согласия, предназначенный специаль-но для распределения Вейбулла. Применяется этот критерий для случая, когда под наблюдением нахо-дится не более 25 однотипных единиц оборудования (n≤25).…”

Introduction, Gumbel Model

“…This is based on the fact, noted above, that when the underlying distribuiton is G(x), the H. are distributed approximately exponentially with -1 parameter unity and zero covariances. Mann et al [26) used another function of the V. to test this hypothesis. These will 1 be omitted here because it is believed the procedure will be discussed in the next paper in this series.…”