Results 11 to 20 of about 556,880 (292)

Functional delta-method for the bootstrap of quasi-Hadamard differentiable functionals [PDF]

open access: yes, 2016
The functional delta-method provides a convenient tool for deriving the asymptotic distribution of a plug-in estimator of a statistical functional from the asymptotic distribution of the respective empirical process.
Beutner, Eric, Zähle, Henryk
core   +7 more sources

Parametric Estimation in the Vasicek-Type Model Driven by Sub-Fractional Brownian Motion

open access: yesAlgorithms, 2018
In the paper, we tackle the least squares estimators of the Vasicek-type model driven by sub-fractional Brownian motion: d X t = ( μ + θ X t ) d t + d S t H , t ≥ 0 with X 0 = 0 , where S H is a sub-fractional Brownian ...
Shengfeng Li, Yi Dong
doaj   +1 more source

Asymptotic analysis of Bragg fibers [PDF]

open access: yes, 2000
Using an asymptotic analysis, we obtain an eigenvalue equation for the general mode dispersion in Bragg fibers. The asymptotic analysis is applied to calculate the dispersion relation and the field distribution of TE modes in a Bragg fiber.
Lee, Reginald K., Xu, Yong, Yariv, Amnon
core   +1 more source

Asymptotic Properties for Cumulative Probability Models for Continuous Outcomes

open access: yesMathematics, 2023
Regression models for continuous outcomes frequently require a transformation of the outcome, which is often specified a priori or estimated from a parametric family.
Chun Li   +3 more
doaj   +1 more source

A New Class of Generalized Probability-Weighted Moment Estimators for the Pareto Distribution

open access: yesMathematics, 2023
Estimation based on probability-weighted moments is a well-established method and an excellent alternative to the classic method of moments or the maximum likelihood method, especially for small sample sizes. In this research, we developed a new class of
Frederico Caeiro, Ayana Mateus
doaj   +1 more source

Explicit Gaussian Variational Approximation for the Poisson Lognormal Mixed Model

open access: yesMathematics, 2022
In recent years, the Poisson lognormal mixed model has been frequently used in modeling count data because it can accommodate both the over-dispersion of the data and the existence of within-subject correlation.
Xiaoping Shi   +2 more
doaj   +1 more source

An adaptive lack of fit test for big data

open access: yesStatistical Theory and Related Fields, 2017
New technological advancements combined with powerful computer hardware and high-speed network make big data available. The massive sample size of big data introduces unique computational challenges on scalability and storage of statistical methods.
Yanyan Zhao   +2 more
doaj   +1 more source

The Limit Properties of Maxima of Stationary Gaussian Sequences Subject to Random Replacing

open access: yesMathematics, 2023
In applications, missing data may occur randomly and some relevant datum are often used to replace the missing ones. This article mainly explores the influence of the degree of dependence of stationary Gaussian sequences on the joint asymptotic ...
Yuwei Li, Zhongquan Tan
doaj   +1 more source

Asymptotic Distribution of Quadratic Forms [PDF]

open access: yesThe Annals of Probability, 1999
The authors consider quadratic forms \(Q_n= \sum_{1\leq j\neq k\leq n}a_{jk} x_jx_k\), where \(x_j\) are i.i.d. random variables. They obtain optimal bounds for the Kolmogorov distance between the distribution of \(Q_n\) and the distribution \(G_n\) of the same quadratic forms with \(x_j\) replaced by corresponding orthonormal Gaussian random variables
Götze, F., Tikhomirov, A. N.
openaire   +4 more sources

The Confidence Interval of the Estimator of the Periodic Intensity Function in the Presence of Power Function Trend on the Nonhomogeneous Poisson Process

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2021
The nonhomogeneous Poisson process is one of the most widely applied stochastic processes. In this article, we provide a confidence interval of the intensity estimator in the presence of a periodic multiplied by trend power function.
Ikhsan Maulidi   +4 more
doaj   +1 more source

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