scholarly journals Miscellanea Kernel-Type Density Estimation on the Unit Interval

Biometrika ◽  
2007 ◽  
Vol 94 (4) ◽  
pp. 977-984 ◽  
Author(s):  
M.C. Jones ◽  
D.A. Henderson
Keyword(s):  
Density Estimation ◽  
Unit Interval ◽  
Kernel Type

scholarly journals A concentration inequality for interval maps with an indifferent fixed point

2009 ◽  
Vol 29 (4) ◽  
pp. 1097-1117 ◽  
Author(s):  
J.-R. CHAZOTTES ◽  
P. COLLET ◽  
F. REDIG ◽  
E. VERBITSKIY
Keyword(s):  
Fixed Point ◽  
Central Limit Theorem ◽  
Limit Theorem ◽  
Density Estimation ◽  
Kernel Density ◽  
Unit Interval ◽  
Empirical Measure ◽  
Concentration Inequality ◽  
Interval Maps ◽  
Correlation Properties

AbstractFor a map of the unit interval with an indifferent fixed point, we prove an upper bound for the variance of all observables of n variables, K:[0,1]n→ℝ, which are separately Lipschitz. The proof is based on coupling and decay of correlation properties of the map. We also present applications of this inequality to the almost-sure central limit theorem, the kernel density estimation, the empirical measure and the periodogram.

DECAF - Density Estimation for Cetaceans from passive Acoustic Fixed Sensors

2009 ◽  
Author(s):  
Len Thomas ◽  
Tiago Marques ◽  
David Borchers ◽  
Catriona Harris ◽  
David Moretti ◽  
...  
Keyword(s):  
Density Estimation ◽  
Passive Acoustic
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