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Robustness Properties and Confidence Interval Reliability
Robustness Properties Confidence Interval Reliability
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2015/7/6
In this chapter, we discuss the robustness and reliability of the estimators of the probability of a rare event (or, more generally, of the expectation of some function of rare events) with respect to...
Probit transformation for kernel density estimation on the unit interval
transformation kernel density estimator boundary bias local likelihood density estimation local log-polynomial density estimation
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2013/4/27
Kernel estimation of a probability density function supported on the unit interval has proved difficult, because of the well known boundary bias issues a conventional kernel density estimator would ne...
Interval edge estimation in SAR images
Bootstrap confidence interval maximum likelihood synthetic aperture radar SAR
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2013/4/27
This paper considers edge interval estimation between two regions of a Synthetic Aperture Image which differ in texture. Different point estimation strategies under multiplicative noise are discussed ...
Approximate Interval Method for Epistemic Uncertainty Propagation using Polynomial Chaos and Evidence Theory
Approximate Interval Method Epistemic Uncertainty Propagation
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2011/7/19
The paper builds upon a recent approach to find the approximate bounds of a real function using Polynomial Chaos expansions.
Estimation for Lévy processes from high frequency data within a long time interval
Adaptive nonparametric estimation high frequency data L´ evy processes projection estimators power variation
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2011/6/17
In this paper, we study nonparametric estimation of the L´evy
density for L´evy processes, with and without Brownian component.
For this, we consider n discrete time observations with st...
HIV dynamics and natural history studies: Joint modeling with doubly interval-censored event time and infrequent longitudinal data
AIDS antiviral treatment interval censoring semiparametric regression
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2011/6/16
Hepatitis C virus (HCV) coinfection has become one of the most
challenging clinical situations to manage in HIV-infected patients.
Recently the effect of HCV coinfection on HIV dynamics following
i...
Interval Estimation for Messy Observational Data
Bayesian analysis bias confounding epidemiology
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2010/10/14
We review some aspects of Bayesian and frequentist interval estimation, focusing first on their relative strengths and weaknesses when used in "clean" or "textbook" contexts. We then turn attention to...
On construction of the smallest one-sided confidence interval for the difference of two proportions
Binomial distribution coverage probability minimum effectivedose multiple tests Poisson distribution set inclusion
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2010/3/11
For any class of one-sided 1− confidence intervals with a certain
monotonicity ordering on the random confidence limit, the smallest
interval, in the sense of the set inclusion for the differ...
Admissibility of the usual confidence interval in linear regression
admissibility compromise decision theory confidence interval decisiontheory
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2010/3/9
Consider a linear regression model with independent and identically normally distributed
random errors. Suppose that the parameter of interest is a specified linear
combination of the regression par...
An asymptotic fixed-precision confidence interval for the minimum of a quandratic regression function
An asymptotic fixed-precision confidence interval a quandratic regression function
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2009/9/23
An asymptotic fixed-precision confidence interval for the minimum of a quandratic regression function。
On some properties of one-dimensional diffusion processes on an interval
some properties one-dimensional diffusion processes interval
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2009/9/22
Some equations are obtained for the moments of the
first passage time of a one-dimensional time-homogeneous diffusion
process, through each of two accessible boundaries cr and fl, given that
the pr...
Optimal Conditional Confidence Interval for the Shape Parameter of a Weibull Distribution
Optimal Conditional Confidence Interval the Shape Parameter a Weibull Distribution
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2009/9/17
Optimal Conditional Confidence Interval for the Shape Parameter of a Weibull Distribution。
Cumulative distribution function estimation under interval censoring case 1
Adaptive estimation Current status data Minimax rate Interval censoring Nonparametric estimator Penalized contrast
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2009/9/16
We consider projection methods for the estimation of the cumulative distribution function under interval censoring, case 1. Such censored data also known as current status data, arise when the only in...
ON THE QUADRATIC WIENER FUNCTIONAL ASSOCIATED WITH THE MALLIAVIN DERIVATIVE OF THE SQUARE NORM OF BROWNIAN SAMPLE PATH ON INTERVAL
reflected Brownian motion with drift stationarydistriution reflection principl
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2009/4/22
We give necessary and sufficient conditions for the stationary density of semimartingale reflected Brownian motion in a wedge to be written as a finite sum of terms of exponential product form. Relyin...
On the Quadratic Wiener Functional Associated with the Malliavin Derivative of the Square Norm of Brownian Sample Path on Interval
Quadratic Functional Sample Path Interval
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2009/4/1
Exact expressions of the stochastic oscillatory integrals with the phase function, which is the quadratic Wiener functional obtained from the Malliavin derivative of the square norm of the Brownian sa...