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Table 2 MLEs of the parameters of assumed models

From: Selecting statistical model and optimum maintenance policy: a case study of hydraulic pump

Threefold mixture models MLEs of parameters
Weibull (β1, η1)–Weibull (β2, η2)–Weibull (β3, η3) \(\begin{aligned} & \left\{ {\beta_{1} ,\eta_{1} ,\beta_{2} ,\eta_{2} ,\beta_{3} ,\eta_{3} ,p_{1} ,p_{2} ,p_{3} } \right\} = \\ & \{ 1.0191,\;2364.0191,\;5.5758,\;9481.8351,\; \\ & 16.6426,\;16535.5039, \, 0.1659,\;0.3220,\;0.5120\} \\ \end{aligned}\)
Weibull (β, η)–Normal (μ, σ)–Exponential (δ) \(\begin{aligned} & \left\{ {\beta ,\eta ,\mu ,\sigma ,\delta ,p_{1} ,p_{2} ,p_{3} } \right\} = \\ & \{ 5.5391,\;9527.83,\;15991.11,\;1073.821,\; \\ & 0.0004,\;0.3249,\;0.5076,\;0.1674\} \\ \end{aligned}\)
Normal (μ1, σ1)–Lognormal (μ2, σ2)–Weibull (β, η) \(\begin{aligned} & \left\{ {\mu_{1} ,\sigma_{1} ,\mu_{2} ,\sigma_{2} ,\beta ,\eta ,p_{1} ,p_{2} ,p_{3} } \right\} = \\ & \{ 15992.0308,\;1072.7513,\;7.5063,\;1.3759,\; \\ & 5.4782,\;9497.0899,\;0.4947,\;0.1872,\;0.3180\} \\ \end{aligned}\)