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Table 9 Maximum likelihood estimates for Kevlar 49/epoxy strands failure times data (pressure at 70%)

From: The TR {Y} power series family of probability distributions

DistributionGW*BN*GUWELOP
Parameter estimates\( \hat{\alpha}=2.6948 \)
  (0.8101)
\( \hat{\gamma}=4.11091 \)
   (1.0456)
\( \hat{\beta}=1.3118 \)
   (0.5144)
\( \hat{\lambda}=6165.69 \)
  (1749.51)
\( \hat{a}=0.1626 \)
  (0.1039)
\( \hat{b}=0.1157 \)
   (0.0199)
\( \hat{\mu}=7826 \)
   (1759.97)
\( \hat{\sigma}=1339.35 \)
   (245.62)
\( \hat{\alpha}=2.0433 \)
  (0.8129)
\( \hat{\gamma}=3.6464 \)
   (1.9910)
\( \hat{\beta}=1.5924 \)
   (1.2346)
\( \hat{\lambda}=4546.90 \)
  (2220.66)
\( \hat{\theta}=-0.6017 \)
   (2.5271)
Log likelihood−478.51−480.52−478.8681
AIC965.0969.0967.7362
KS
p value
0.0749
0.9462
0.0797
0.9144
0.0703
0.9549
  1. (Standard error of estimates in parenthesis)
  2. *Maximum likelihood estimates, loglikelihood, AIC, KS statistic, and its p value of the GW and BN distributions were obtained from Al-Aqtash et al. [29]