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Mathematical Analysis of Random Noise-Conclusion
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This article is published in Bell System Technical Journal.The article was published on 1945-01-01 and is currently open access. It has received 807 citations till now.read more
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The accuracy of wave measurements made with vertical accelerometers
TL;DR: In this paper, the authors examine theoretically the errors introduced into wave measurement by using an accelerometer which sets itself into the "apparent vertical" that is, perpendicular to the local water surface, instead of being stabilised to measure the true vertical acceleration.
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Monitoring of Fine Particulate Air Pollution as a Factor in Urban Planning Decisions
TL;DR: In this paper, the authors consider the issues of describing dust concentration using the theory of stationary random functions, which allows not only to obtain the characteristics of the particulate composition of dust in the air, but also to determine a number of additional parameters, namely, mean residence time of fractional concentration above the predetermined level, the average number of times when fractional concentrations per time unit exceeds the standard.
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A paradox concerning rate of information
I.J. Good,K. Caj Doog +1 more
TL;DR: The Riemannian rate of transmission does however lead to sensible results if used in conjunction with periodic band-limited white noise and to the Hartley-Wiener-Tuller-Sullivan-Shannon formula without the necessity of introducing Shannon's notion of “dimension rate.”
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New bounds for the first passage, wave-length and amplitude densities
Igor Rychlik,Igor Rychlik +1 more
TL;DR: The results are extended to more general kinds of first passage time problems, so called marked crossings, and used to construct upper and lower bounds for the first passage, wave-length densities and for the transition distribution from a maximum to the following minimum.
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Probabilistic modelling of crossing in small samples and application of runs to hydrology
TL;DR: Various analytical expressions concerning run properties, such as the mean positive and negative run lengths, run sums, and number of crossings, are presented and their applications to a set of serially dependent annual flow sequences are performed.