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The bootstrap: To smooth or not to smooth?
Biometrika, 1987In the statistical bootstrap the sample is resampled with replacement. However, these samples with replacement are not drawn from the unknown distribution F itself but from the empirical distribution function \(F_ n\) of the observed data. Because \(F_ n\) is a discrete distribution, samples constructed from \(F_ n\) in the bootstrap simulations will ...
Silverman, B. W., Young, G. A.
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Journal of Statistical Planning and Inference, 2000
Let \(X_1,X_2,\dots, X_n\) be a sample of independent and identically distributed random variables. Denote by \(F\) the distribution function of \(X\). The authors consider the problem of estimating the parameter \(T(F)\) by a statistic \(T(\widehat F_n)\), where \(\widehat F_n(x)= \int^x_{-\infty} f_n(u) du\) and \(f_n(u)\) is the well-known kernel ...
El-Nouty, Charles, Guillou, Armelle
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Let \(X_1,X_2,\dots, X_n\) be a sample of independent and identically distributed random variables. Denote by \(F\) the distribution function of \(X\). The authors consider the problem of estimating the parameter \(T(F)\) by a statistic \(T(\widehat F_n)\), where \(\widehat F_n(x)= \int^x_{-\infty} f_n(u) du\) and \(f_n(u)\) is the well-known kernel ...
El-Nouty, Charles, Guillou, Armelle
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Smoothed bootstrap Malmquist index based on DEA model to compute productivity of tax offices
This paper analyses the productivity growth of the SUMA tax offices located in Spain evolved between 2004 and 2006 by using Malmquist Index based on Data Envelopment Analysis (DEA) models.
Ramon Fuentes, Adelaida Lillo-Bañuls
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Local Smoothing Using the Bootstrap
Communications in Statistics - Simulation and Computation, 2013We consider the problem of data-based choice of the bandwidth of a kernel density estimator, with an aim to estimate the density optimally at a given design point. The existing local bandwidth selectors seem to be quite sensitive to the underlying density and location of the design point.
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Smooth bootstrap methods for analysis of longitudinal data
Statistics in Medicine, 2007AbstractIn analysis of longitudinal data, the variance matrix of the parameter estimates is usually estimated by the ‘sandwich’ method, in which the variance for each subject is estimated by its residual products. We propose smooth bootstrap methods by perturbing the estimating functions to obtain ‘bootstrapped’ realizations of the parameter estimates ...
Li, Yue, Wang, You-Gan
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Bootstrapping the distance between smooth bootstrap and sample quantile distribution
Probability Theory and Related Fields, 1989The normalized Kolmogorov-Smirnov and variational distance between the distribution of the sample q-quantile and the pertaining smooth bootstrap distribution are asymptotically distributed like the absolute value of a normal random variable. The distribution functions of these random distances may serve as measures of the accuracy of the bootstrap ...
Falk, M., Reiss, R.-D.
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Inference via kernel smoothing of bootstrap values
Computational Statistics & Data Analysis, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeffrey S. Racine, James G. MacKinnon
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Smoothed Empirical Processes and the Bootstrap
2003Based on a uniform functional central limit theorem (FCLT) for unbiased smoothed empirical processes indexed by a class.F of measurable functions defined on a linear metric space we present a consistency theorem for smoothed bootstrapped empirical processes.
Peter Gaenssler, Daniel Rost
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Histospline smoothing the Bayesian bootstrap
Biometrika, 1988Summary: This paper describes a version of the Bayesian bootstrap that assigns random Dirichlet mass uniformly across statistically equivalent blocks. The method requires prior knowledge that the underlying distribution is continuous with known compact support.
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Smoothed Bootstrap for Survival Function Inference
2019 International Conference on Information and Digital Technologies (IDT), 2019A new generalized smoothed bootstrap technique is presented for data including right-censored observations. The method is based on Banks’ bootstrap [2] and the right-censoring A (n) assumption introduced by [7], which is a generalization of Hill’s A (n) assumption [12].
Asamh S.M. Al Luhayb +2 more
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