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Mean and variance of the LQG cost function [PDF]
Automatica, 2016 Linear Quadratic Gaussian (LQG) systems are well-understood and methods to minimize the expected cost are readily available. Less is known about the statistical properties of the resulting cost function.
Bijl, Hildo +3 more
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r-Free Convolution and Variance Function
AxiomsThe concept of r-free convolution (which is represented by r) was introduced for 0≤r≤1. It is equal to the Boolean additive convolution ⊎ if r=0 and reduced to the free additive convolution ⊞ when r=1.
Shokrya S. Alshqaq +2 more
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On the Notion of Reproducibility and Its Full Implementation to Natural Exponential Families
Mathematics, 2021 Let F=Fθ:θ∈Θ⊂R be a family of probability distributions indexed by a parameter θ and let X1,⋯,Xn be i.i.d. r.v.’s with L(X1)=Fθ∈F. Then, F is said to be reproducible if for all θ∈Θ and n∈N, there exists a sequence (αn)n≥1 and a mapping gn:Θ→Θ,θ⟼gn(θ ...
Shaul K. Bar-Lev
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Interval Kepercayaan Untuk Fungsi Nilai Harapan dan Fungsi Ragam Proses Poisson Periodik Majemuk
Jambura Journal of Mathematics, 2022 Compound cyclic Poisson process have the mean and variance functions. The objective of this paper is to construct confidence intervals for respectively the mean and variance functions of a compound cyclic Poisson process with significance level 0alpha1 ...
Auliya Fithry +2 more
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Warped functional analysis of variance [PDF]
Biometrics, 2014 SummaryThis article presents an Analysis of Variance model for functional data that explicitly incorporates phase variability through a time‐warping component, allowing for a unified approach to estimation and inference in presence of amplitude and time variability.
Gervini, Daniel, Carter, Patrick A.
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Variance Function Estimation [PDF]
Journal of the American Statistical Association, 1987 We develops a general theory for variance function estimation in regression. Most methods in common use are included in our development. The general qualitative conclusions are these. First, most variance function estimation procedures can be looked upon as regressions with responses' being transformations of absolute residuals from a preliminary fit ...
Davidian, M., Carroll, R.J.
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Mathematics, 2022 The large arcsine exponential dispersion model (LAEDM) is a class of three-parameter distributions on the non-negative integers. These distributions show the specific characteristics of being leptokurtic, zero-inflated, overdispersed, and skewed to the ...
Shaul K. Bar-Lev, Ad Ridder
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Kriging with Nonparametric Variance Function Estimation [PDF]
Biometrics, 1999 Summary. A method for fitting regression models to data that exhibit spatial correlation and heteroskedas‐ticity is proposed. It is well known that ignoring a nonconstant variance does not bias least‐squares estimates of regression parameters; thus, data analysts are easily lead to the false belief that moderate heteroskedas‐ticity can generally be ...
Opsomer, Jean +4 more
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Remote Sensing, 2022 Accurately estimating forest aboveground biomass (AGB) based on remote sensing (RS) images at the regional level is challenging due to the uncertainty of the modeling sample size.
Qingtai Shu +5 more
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JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 This research is a follow-up research of Utama (2022) on asymptotic distribution of an estimator for variance function of a compound periodic Poisson with the power function trend.
Ade Irawan +2 more
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