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- W2092196612 abstract "Let $U(t)$ be a real-valued continuous alphabet random process with stationary independent increments and symmetric properties, i.e., [ Pr [U(t) - U(s) in (a,b)] = Pr [(U(t) - U(s)) in ( - b, - a)],quad t > s,quad a < b. ] Let $x(t)$ be the process formed by reflection of $U(t)$ between barriers at 0 and $b > 0$. We use the Poisson summation formula to obtain series expansions for the conditional expectation, covariance, and power spectral density of $x(t)$. For the special case of the reflected Wiener process, a closed form expression is obtained for the power spectral density. Finally, the expected squared error for the nonlinear minimum mean-squared-error predictor is shown to depend only on the covariance and to strongly resemble the expected error for the optimal linear predictor." @default.
- W2092196612 created "2016-06-24" @default.
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- W2092196612 date "1977-12-01" @default.
- W2092196612 modified "2023-10-17" @default.
- W2092196612 title "Second Order Moments and Prediction for Doubly-Reflected Symmetric Independent Increment Processes" @default.
- W2092196612 cites W2751862591 @default.
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- W2092196612 doi "https://doi.org/10.1137/0133037" @default.
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