Table 15 95% Interval Estimates for Parameters under \(\tau = 20\) (Electrical Appliance Lifetimes).

From: Algorithms and approximations for the modified Weibull model under censoring with application to the lifetimes of electrical appliances

m

Parameter

Asymptotic

Boot-p

Boot-t

HPD (RMHMC)

Length (Asy)

Length (Boot-p)

Length (Boot-t)

Length (HPD)

50

\(\lambda\)

[1.89, 2.71]

[1.85, 2.78]

[1.87, 2.73]

[1.94, 2.64]

0.82

0.93

0.86

0.70

\(\beta\)

[0.71, 0.93]

[0.69, 0.96]

[0.70, 0.94]

[0.73, 0.90]

0.22

0.27

0.24

0.17

\(\zeta\)

[1.05, 1.37]

[1.02, 1.41]

[1.04, 1.39]

[1.08, 1.33]

0.32

0.39

0.35

0.25

\(\phi\)

[1.42, 1.78]

[1.38, 1.83]

[1.40, 1.80]

[1.45, 1.74]

0.36

0.45

0.40

0.29

40

\(\lambda\)

[1.82, 2.84]

[1.76, 2.93]

[1.79, 2.88]

[1.88, 2.76]

1.02

1.17

1.09

0.88

\(\beta\)

[0.68, 0.98]

[0.65, 1.02]

[0.67, 0.99]

[0.71, 0.94]

0.30

0.37

0.32

0.23

\(\zeta\)

[1.01, 1.43]

[0.97, 1.49]

[0.99, 1.46]

[1.05, 1.38]

0.42

0.52

0.47

0.33

\(\phi\)

[1.37, 1.85]

[1.32, 1.92]

[1.35, 1.88]

[1.41, 1.80]

0.48

0.60

0.53

0.39

30

\(\lambda\)

[1.74, 2.98]

[1.66, 3.11]

[1.71, 3.03]

[1.81, 2.89]

1.24

1.45

1.32

1.08

\(\beta\)

[0.64, 1.04]

[0.60, 1.10]

[0.62, 1.06]

[0.68, 0.99]

0.40

0.50

0.44

0.31

\(\zeta\)

[0.96, 1.52]

[0.91, 1.60]

[0.94, 1.55]

[1.00, 1.46]

0.56

0.69

0.61

0.46

\(\phi\)

[1.31, 1.95]

[1.25, 2.04]

[1.29, 1.98]

[1.36, 1.88]

0.64

0.79

0.69

0.52

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