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Non-data-aided (NDA) parameter estimation is considered for binary-phase-shift-keying transmission in an additive white Gaussian noise channel. Cramer-Rao lower bounds (CRLBs) for signal amplitude, noise variance, channel reliability…

信息论 · 计算机科学 2007-07-13 Fredrik Brannstrom , Lars K. Rasmussen

Quantum phase estimation is an important component in diverse quantum algorithms. However, it suffers from spectral leakage, when the reciprocal of the record length is not an integer multiple of the unknown phase, which incurs an accuracy…

量子物理 · 物理学 2022-05-17 Yifeng Xiong , Soon Xin Ng , Gui-Lu Long , Lajos Hanzo

Structures in the invariant mass distribution are often linked to unstable intermediate states or resonances. In experiments, many signals are detected which have broad, overlapping or intricate profiles, which makes their characterization…

高能物理 - 唯象学 · 物理学 2025-06-06 Adam B. Mapa , Denny Lane B. Sombillo

We consider method-of-quantiles estimators of unknown parameters, namely the analogue of method-of-moments estimators obtained by matching empirical and theoretical quantiles at some probability level lambda in (0,1). The aim is to present…

统计理论 · 数学 2018-11-20 Valeria Bignozzi , Claudio Macci , Lea Petrella

In order to improve the already existing models that are used extensively in bio sciences and applied sciences research, a new class of Weighted Power function distribution (WPFD) has been proposed with its various properties and different…

其他统计学 · 统计学 2020-08-03 Azam Zaka , Ahmad Saeed Akhter , Riffat Jabeen

In this article, we proposed a new probability distribution named as power Maxwell distribution (PMaD). It is another extension of Maxwell distribution (MaD) which would lead more flexibility to analyze the data with non-monotone failure…

应用统计 · 统计学 2018-07-04 Abhimanyu Singh Yadav , Hassan S. Bakouch , Sanjay Kumar Singh , Umesh Singh

We propose formal estimation procedures for the parameters of the generalized, three-parameter Linnik $gL(\alpha,\mu, \delta)$ and Mittag-Leffler $gML(\alpha,\mu, \delta)$ distributions. The estimators are derived from the moments of the…

统计方法学 · 统计学 2018-08-03 Dexter O. Cahoy , Wojbor A. Woyczyński

By the very definition the triaxial deformation parameter $\gamma$ is related to the expectation values of the K=0 and K=2 components of the intrinsic quadrupole tensor operator. On the other hand, using the same symbol "$\gamma$", various…

核理论 · 物理学 2008-11-26 Yoshifumi R. Shimizu , Takuya Shoji , Masayuki Matsuzaki

We investigate the effect of imperfections in realistic detectors upon the problem of quantum state and parameter estimation by continuous monitoring of an open quantum system. Specifically, we have reexamined the system of a two-level atom…

量子物理 · 物理学 2009-11-10 P. Warszawski , Jay Gambetta , H. M. Wiseman

The problem of parameter estimation by the observations of the two-state telegraph process in the presence of white Gaussian noise is considered. The properties of estimator of the method of moments are described in the asymptotics of large…

统计理论 · 数学 2015-09-10 Rafail Khasminskii , Yury Kutoyants

This paper deals with parameter estimation from extreme measurements. While being a special case of parameter estimation from partial data, in scenarios where only one sample from a given set of K measurements can be extracted, choosing…

信号处理 · 电气工程与系统科学 2018-09-25 Jonatan Ostrometzky , Hagit Messer

Graph-based techniques emerged as a choice to deal with the dimensionality issues in modeling multivariate time series. However, there is yet no complete understanding of how the underlying structure could be exploited to ease this task.…

信号处理 · 电气工程与系统科学 2019-10-02 Elvin Isufi , Andreas Loukas , Nathanael Perraudin , Geert Leus

We investigate the problem of estimating simultaneously multiple parameters encoded in the shape of the modes on which the light is expanded. For this, we generalize the mode-encoded parameter estimation theory as introduced in Ref.[1] to a…

量子物理 · 物理学 2025-05-23 Alexander Boeschoten , Giacomo Sorelli , Manuel Gessner , Claude Fabre , Nicolas Treps

In Bayesian inference, an unknown measurement uncertainty is often quantified in terms of a Gamma distributed precision parameter, which is impractical when prior information on the standard deviation of the measurement uncertainty shall be…

统计方法学 · 统计学 2021-01-19 Manuel M. Eichenlaub

We consider the problem of fitting a parametric model to time-series data that are afflicted by correlated noise. The noise is represented by a sum of two stationary Gaussian processes: one that is uncorrelated in time, and another that has…

地球与行星天体物理 · 物理学 2014-11-20 Joshua A. Carter , Joshua N. Winn

Many real-world systems modeled using differential equations involve unknown or uncertain parameters. Standard approaches to address parameter estimation inverse problems in this setting typically focus on estimating constants; yet some…

动力系统 · 数学 2024-03-25 Anna Fitzpatrick , Molly Folino , Andrea Arnold

In the world of multivariate extremes, estimation of the dependence structure still presents a challenge and an interesting problem. A procedure for the bivariate case is presented that opens the road to a similar way of handling the…

统计理论 · 数学 2008-11-14 John H. J. Einmahl , Andrea Krajina , Johan Segers

Moment-based estimation is a theoretically attractive approach to parametric inference, especially when likelihood-based estimation is unavailable, misspecified, or computationally inconvenient. However, the moment equations involve sample…

统计理论 · 数学 2026-05-28 Liu Zhang , Amit Singer

The telegraph process $\{X(t), t>0\}$, is supposed to be observed at $n+1$ equidistant time points $t_i=i\Delta_n,i=0,1,..., n$. The unknown value of $\lambda$, the underlying rate of the Poisson process, is a parameter to be estimated. The…

概率论 · 数学 2007-06-13 stefano m. iacus , nakahiro yoshida

We address the problem of modulating a parameter onto a power-limited signal, transmitted over a discrete-time Gaussian channel and estimating this parameter at the receiver. Continuing an earlier work, where the optimal trade-off between…

信息论 · 计算机科学 2019-04-26 Neri Merhav