Results 81 to 90 of about 2,000,076 (197)
Multivariate quantile inactivity time with medical applications
AIP AdvancesThe concept of α-quantile inactivity time was developed for situations with bivariate or multivariate random lifetimes. In this situation, each element has a specific history related to itself, indicating that the corresponding event occurred earlier ...
Mohamed Kayid
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Alexandria Engineering JournalThe analysis of practical phenomena is fundamentally reliant on probability distributions. This awareness has inspired researchers to develop new statistical models, resulting in a range of methodologies.
Zhidong Liang
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Differentially Private Empirical Cumulative Distribution Functions
In order to both learn and protect sensitive training data, there has been a growing interest in privacy preserving machine learning methods. Differential privacy has emerged as an important measure of privacy. We are interested in the federated setting where a group of parties each have one or more training instances and want to learn collaboratively ...
Barczewski, Antoine +2 more
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On the Approximation of a Distribution Function by an Empiric Distribution
The Annals of Mathematical Statistics, 1955 Let $x_1, \cdots, x_n$ be independent chance variables with the common distribution function $F(x)$ and the empiric distribution function $F^\ast(x)$. Let $a_n$ be the value of $a$ which minimizes (1) below. In this paper the asymptotic distribution of $\sqrt{n} a_n$ is obtained, subject to certain restrictions on $F(x)$.
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Comments on the Power of Kolmogorov Test
Communications, 2013 This paper presents the results of estimating the power of Kolmogorov test and its modifications for testing hypothesis about an exponential distribution against the alternative hypothesis (population has a Weibull distribution).
Andrzej Rogowski
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REMARKS ON SOME SMOOTHED EMPIRICAL DISTRIBUTION FUNCTIONS AND PROCESS [PDF]
Bulletin of informatics and cybernetics, 1984 Summary: It is shown that under mild assumptions, a convolution-smoothed empirical process exhibits essentially the same asymptotic properties as the standard empirical process such as: a pointwise law of iterated logarithm, weak convergence to Brownian bridge, and the Chung-Smirnov property.
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Gaussian Error Linear Units (GELUs)
, 2020 We propose the Gaussian Error Linear Unit (GELU), a high-performing neural network activation function. The GELU activation function is $x\Phi(x)$, where $\Phi(x)$ the standard Gaussian cumulative distribution function.
Gimpel, Kevin, Hendrycks, Dan
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Minimaxity of the Empirical Distribution Function in Invariant Estimation
The Annals of Statistics, 1991 Consider the problem of invariant (under monotone transformations) estimation of continuous distribution functions with Cramér-von Mises loss function weighted by \(h(t)=t^{-1}(1-t)^{-1},\;t\in(0,1)\). The minimaxity of the empirical distribution function which, as is well- known, is the best invariant estimator in this problem, is proved for sample ...
Yu, Qiqing, Chow, Mo-suk
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Empirical likelihood estimators for the error distribution in nonparametric regression models [PDF]
The aim of this paper is to show that existing estimators for the error distribution in nonparametric regression models can be improved when additional information about the distribution is included by the empirical likelihood method.
Kiwitt, Sebastian +2 more
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Stochastic ranking process with time dependent intensities
, 2010 We consider the stochastic ranking process with the jump times of the particles determined by Poisson random measures. We prove that the joint empirical distribution of scaled position and intensity measure converges almost surely in the infinite ...
Hariya, Yuu +5 more
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