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If the equations have a solution Q j) that is a probability distribution i.e., Q j) ≥ 0, and ∑Q j) = 1 then that solution is unique and is the stationary distribution of the process.
For a fixed choice of probability distributions P, we denote the equilibrium distribution of the process s by π.
Note that a priori, the distribution of the process with respect to the second state ψ is arbitrary.
Then the weak convergence theorem is proved for the ergodic distribution of the process X ( t ) and the limit form of the ergodic distribution is derived.
The reflection principle of standard Brownian motion relates the probability distribution of a first hitting time to a boundary to the 1-dimensional marginal distribution of the process.
Regarding the translation process method, this study highlights the limitations of widely used moment-based method and the method based on three-parameter gamma distribution of the process.
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To this end, the probability distributions of the process envelope are analyzed.
Starting from the probability distributions of the process parameters, SSTA allows to accurately estimating the probability distribution of the circuit performance in a single timing analysis run.
In mathematical terms, the crossover process is an alternating renewal process, with state alternating between 0 and 1 and the multilocus probabilities are essentially the finite dimensional distributions of the process.
The joint probability distributions of the process performance indicators suggest a Stirling Engine (SE) power output in the range of 61.5 73 W with a high confidence interval (CI) of 95%.
(mathbb {E}(cdot)) is a function that takes the expectation over the distribution of the harvesting process and the fading process.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com