Results 21 to 30 of about 2,000,076 (197)
Linear Bounds on the Empirical Distribution Function
The Annals of Probability, 1978 Let $\Gamma_n$ denote the empirical df of a sample from the uniform (0, 1) df $I$. Let $\xi_{nk}$ denote the $k$th smallest observation. Let $\lambda_n > 1$. Let $A_n$ denote the event that $\Gamma_n$ intersects the line $\lambda_n I$ on [0, 1] and let $B_n$ denote the event that $\Gamma_n$ intersects the line $I/\lambda_n$ on $\lbrack\xi_{n1}, 1 ...
Shorack, Galen R., Wellner, Jon A.
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AIP Advances, 2018 This paper investigates the thickness distribution of substrate coating of electron-beam physical vapor deposition (EBPVD) using a novel spatial-distribution-function, which is different from the empirical modified law.
Ching-Yen Ho +7 more
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The Admissibility of the Empirical Distribution Function
The Annals of Statistics, 1985 Consider the problem of estimating an unknown distribution function F from the class of all distribution functions given a random sample of size n from F. It is proved that the empirical distribution function is admissible for the loss functions \[ L(F,\hat F)=\int (\hat F(t)-F(t))^ 2(F(t))^ a(1-F(t))^ bdW(t) \] for any ...
Cohen, Michael P., Kuo, Lynn
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Convergence of the empirical spectral distribution function of Beta matrices [PDF]
, 2015 Let $\mathbf{B}_n=\mathbf {S}_n(\mathbf {S}_n+\alpha_n\mathbf {T}_N)^{-1}$, where $\mathbf {S}_n$ and $\mathbf {T}_N$ are two independent sample covariance matrices with dimension $p$ and sample sizes $n$ and $N$, respectively. This is the so-called Beta
Bai, Zhidong +3 more
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Optimization of Rain Gauge Networks for Arid Regions Based on Remote Sensing Data
Remote Sensing, 2021 Water depletion is a growing problem in the world’s arid and semi-arid areas, where groundwater is the primary source of fresh water. Accurate climatic data must be obtained to protect municipal water budgets.
Mona Morsy +5 more
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Inference on a Distribution from Noisy Draws [PDF]
, 2019 We consider a situation where the distribution of a random variable is being estimated by the empirical distribution of noisy measurements of that variable. This is common practice in, for example, teacher value-added models and other fixed-effect models
Jochmans, Koen, Weidner, Martin
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Demixing empirical distribution functions
, 2014 We consider the two-sample homogeneity problem where the information contained in two samples is used to test the equality of the underlying distributions. For instance, in cases where one sample stems from a simulation procedure modelling the data generating process of the other sample consisting of observed data, a mere rejection of the null ...
Munteanu, Alexander, Wornowizki, Max
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Tests of fit for the logarithmic distribution [PDF]
, 2008 Smooth tests for the logarithmic distribution are compared with three tests: the first is a test due to Epps and is based on a probability generating function, the second is the Anderson-Darling test, and the third is due to Klar and is based on the ...
Best, DJ, Rayner, JCW, Thas, Olivier
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Efficient estimation of Pareto model: Some modified percentile estimators. [PDF]
PLoS ONE, 2018 The article proposes three modified percentile estimators for parameter estimation of the Pareto distribution. These modifications are based on median, geometric mean and expectation of empirical cumulative distribution function of first-order statistic.
Sajjad Haider Bhatti +5 more
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Empirical Bayes Estimation of a Distribution Function
The Annals of Statistics, 1976 A sequence of empirical Bayes estimators is defined for estimating a distribution function. The sequence is shown to be asymptotically optimal relative to a Ferguson Dirichlet process prior. Exact risk expressions are derived and the rate, at which the overall expected loss approaches the minimum Bayes risk, is exhibited.
Korwar, Ramesh M., Hollander, Myles
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