Definition of non-homogenous compund poisson process
(a) Supply a suitable definition of a non-homogenous compund Poisson process, {X(t) : t in [0, infinity] }
(b) Does {X(t)} have stationary and/or independent increments?
(c) Determine cov(X(s), X(t)) for 0 < s < t under suitable moment conditions.
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A rigid 0.75 m3 tank initially contains water at 250oC, 50% liquid and 50% vapor, by volume. A valve on the bottom of the tank is opened, and liquid is withdrawn slowly.
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Supply a suitable definition of a non-homogenous compund Poisson process, {X(t) : t in [0, infinity] }
A 45 MW turbine receives steam from 3 boilers. The first inlet has a mass flow rate of 10 kg/s at 4000 kPa and 800 deg C; the second inlet mass flow rate is 15 kg/s at 2000 kPa and 600 deg C; and the third boiler supplies steam at 1000 kPa and 500
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