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Rice's formula
Known as:
Rice formula
In probability theory, Rice's formula counts the average number of times an ergodic stationary process X(t) per unit time crosses a fixed level u…
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Related topics
Related topics
4 relations
Ergodic process
Frequency of exceedance
Gaussian process
Stationary process
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
Inference in adaptive regression via the Kac–Rice formula
Jonathan E. Taylor
,
Joshua R. Loftus
,
R. Tibshirani
2013
Corpus ID: 88519602
Abstract : We derive an exact p-value for testing a global null hypothesis in a general adaptive regression setting. Our approach…
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2013
2013
The record method for two and three dimensional parameters random fields
Jean-marc Azais
,
Viet-Hung Pham
2013
Corpus ID: 56426885
Let S be a regular set of R d and X : S ! R be a Gaussian eld with regular paths. In order to give bound to the tail of the…
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2010
2010
On Rice's Formula for Stationary Multivariate Piecewise Smooth Processes
K. Borovkov
,
G. Last
Journal of Applied Probability
2010
Corpus ID: 30983409
Let X = {Xt : t ≥ 0} be a stationary piecewise continuous R-valued process that moves between jumps along the integral curves of…
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2008
2008
Level curves, crossings and speed of specular points for Gaussian models
M. Kratz
,
J. León
2008
Corpus ID: 14566008
A display interface system that uses a server-client approach. The server contains all of the necessary information regarding…
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2007
2007
Level crossing rate over multiple independent random processes: an extension of the applicability of the rice formula
L. Yang
,
Mohamed-Slim Alouini
IEEE Transactions on Wireless Communications
2007
Corpus ID: 31880445
This paper presents general expressions for the calculation of the level crossing rate of various combinations of multiple…
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2007
2007
Applications of Rice's formula in oceanographic and environmental problems
S. Åberg
2007
Corpus ID: 119586146
This thesis is based on five papers (A-E), all treating various applications of Rice's formula. The areas of application are…
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2005
2005
Saddle point approximation of Rice's formula
Oskar Hagberg
2005
Corpus ID: 115687349
The saddle point approximation of Rice's formula for the upcrossing rate of a stationary random process has until now only been…
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Highly Cited
2004
Highly Cited
2004
Moore's law and the energy requirement of computing versus performance
L. Kish
2004
Corpus ID: 8213918
It has recently been recognised that speed, noise and energy dissipation are strongly interrelated entities. Following Moore's…
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2001
2001
Some applications of the q‐Rice formula
H. Prodinger
Random Struct. Algorithms
2001
Corpus ID: 22406235
We evaluate alternating sums involving q‐binomial coefficients using a contour integration technique. In this way, we rederive…
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1988
1988
Origin of Rice's formula
A. J. Rainal
IEEE Transactions on Information Theory
1988
Corpus ID: 5407673
The origin of S.O. Rice's formula for the average rate of level crossings of a rather general random process is traced to his…
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