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Lectures on the central limit theorem for empirical processes
 Probability and Banach Spaces
, 1986
"... Abstract. Concentration inequalities are used to derive some new inequalities for ratiotype suprema of empirical processes. These general inequalities are used to prove several new limit theorems for ratiotype suprema and to recover anumber of the results from [1] and [2]. As a statistical applica ..."
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Cited by 137 (9 self)
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Abstract. Concentration inequalities are used to derive some new inequalities for ratiotype suprema of empirical processes. These general inequalities are used to prove several new limit theorems for ratiotype suprema and to recover anumber of the results from [1] and [2]. As a statistical
From Fibonacci Numbers to Central Limit Type Theorems
, 2010
"... A beautiful theorem of Zeckendorf states that every integer can be written uniquely as a sum of nonconsecutive Fibonacci numbers {Fn}∞n=1. Lekkerkerker proved that the average number of summands for integers in [Fn, Fn+1) is n/(ϕ 2 + 1), with ϕ the golden mean. We prove the following massive genera ..."
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Cited by 14 (13 self)
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to results on existence and, in some cases, the mean. By recasting as a combinatorial problem and using generating functions and differentiating identities, we surmount the limitations inherent in the previous approaches.
Observational evidence of recent change in the northern highlatitude environment
 Chapin F S III, Osterkamp T, Dyurgerov M, Romanovsky V, Oechel W C, Morison J, Zhang T and Barry R G
, 2000
"... Abstract. Studies from a variety of disciplines document recent change in the northern highlatitude environment. Prompted by predictions of an amplified response of the Arctic to enhanced greenhouse forcing, we present a synthesis of these observations. Pronounced winter and spring warming over nor ..."
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Cited by 264 (14 self)
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northern continents since about 1970 is partly compensated by cooling over the northern North Atlantic. Warming is also evident over the central Arctic Ocean. There is a downward tendency in sea ice extent, attended by warming and increased areal extent of the Arctic Ocean’s Atlantic layer. Negative snow
Data Gathering Algorithms in Sensor Networks Using Energy Metrics
 IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS
, 2002
"... Sensor webs consisting of nodes with limited battery power and wireless communications are deployed to collect useful information from the field. Gathering sensed information in an energy efficient manner is critical to operating the sensor network for a long period of time. In [12], a data collecti ..."
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Cited by 226 (2 self)
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Sensor webs consisting of nodes with limited battery power and wireless communications are deployed to collect useful information from the field. Gathering sensed information in an energy efficient manner is critical to operating the sensor network for a long period of time. In [12], a data
Working memory: looking back and looking forward.
 Nature Rev. Neurosci.
, 2003
"... The theoretical concept of working memory assumes that a limited capacity system, which temporarily maintains and stores information, supports human thought processes by providing an interface between perception, longterm memory and action The term 'working memory' seems to have been in ..."
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Cited by 225 (0 self)
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The theoretical concept of working memory assumes that a limited capacity system, which temporarily maintains and stores information, supports human thought processes by providing an interface between perception, longterm memory and action The term 'working memory' seems to have been
A CENTRAL LIMIT THEOREM ON HEISENBERG TYPE GROUPS. II
"... Abstract. We present a Liapounov type central limit theorem for random variables associated to a commutative Banach algebra of "radial " measures on Heisenberg type groups. This theorem improves on a result presented by the author in Proc. Amer. Math. Soc. 113 (1991), 529536. In [Oh] we i ..."
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Cited by 2 (0 self)
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Abstract. We present a Liapounov type central limit theorem for random variables associated to a commutative Banach algebra of "radial " measures on Heisenberg type groups. This theorem improves on a result presented by the author in Proc. Amer. Math. Soc. 113 (1991), 529536. In [Oh] we
Frequency estimation of internet packet streams with limited space
 IN PROCEEDINGS OF THE 10TH ANNUAL EUROPEAN SYMPOSIUM ON ALGORITHMS
, 2002
"... We consider a router on the Internet analyzing the statistical properties of a TCP/IP packet stream. A fundamental difficulty with measuring traffic behavior on the Internet is that there is simply too much data to be recorded for later analysis, on the order of gigabytes a second. As a result, net ..."
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Cited by 168 (1 self)
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, network routers can collect only relatively few statistics about the data. The central problem addressed here is to use the limited memory of routers to determine essential features of the network traffic stream. A particularly difficult and representative subproblem is to determine the top k categories
A CENTRAL LIMIT TYPE THEOREM FOR A CLASS OF PARTICLE FILTERS
"... Abstract. The optimal ¯lter = ft; t ¸ 0g for a general observation model is approximated by a probability measure valued process n = fn t; t ¸ 0g. The process n is the empirical measure of a system of weighted particles that at time 0 consists of n particles. The particles branch at equally spaced ..."
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Cited by 1 (0 self)
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spaced time instances jn¡2 ® where j = 1; 2;::: and 0 < ® < 1. We prove the convergence of the process n to and derive sharp upper bounds for the mean square error. We also prove a central limit theorem to characterize the convergence rate of the approximate ¯lter. A similar result is obtained
Distributed detection of node replication attacks in sensor networks
 PROCEEDINGS OF THE IEEE SYMPOSIUM ON SECURITY AND PRIVACY
, 2005
"... The lowcost, offtheshelf hardware components in unshielded sensornetwork nodes leave them vulnerable to compromise. With little effort, an adversary may capture nodes, analyze and replicate them, and surreptitiously insert these replicas at strategic locations within the network. Such attacks ma ..."
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Cited by 206 (3 self)
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may have severe consequences; they may allow the adversary to corrupt network data or even disconnect significant parts of the network. Previous node replication detection schemes depend primarily on centralized mechanisms with single points of failure, or on neighborhood voting protocols that fail
Measuring the Effects of Monetary Policy: A FactorAugmented Vector Autoregressive (FAVAR) Approach
, 2005
"... Structural vector autoregressions (VARs) are widely used to trace out the effect of monetary policy innovations on the economy. However, the sparse information sets typically used in these empirical models lead to at least three potential problems with the results. First, to the extent that centra ..."
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Cited by 197 (0 self)
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Structural vector autoregressions (VARs) are widely used to trace out the effect of monetary policy innovations on the economy. However, the sparse information sets typically used in these empirical models lead to at least three potential problems with the results. First, to the extent
Results 11  20
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7,598