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With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang

We point out the need to use probability amplitudes rather than probabilities to model evidence accumulation in decision processes involving real physical sensors. Optical information processing systems are given as typical examples of…

Artificial Intelligence · Computer Science 2013-04-05 A. J. Hanson

A new approach of obtaining stratified random samples from statistically dependent random variables is described. The proposed method can be used to obtain samples from the input space of a computer forward model in estimating expectations…

Methodology · Statistics 2019-11-25 Anirban Mondal , Abhijit Mandal

We examine the extent to which random samplings from the values of a random set, determine the distribution of the random set itself. We also comment on how, given the statistics of the sampling, to detect the distribution. Several methods…

Probability · Mathematics 2022-06-01 Zvi Artstein , Alon Shapira

We explore the interplay between random and deterministic phenomena using a representation of uncertainty based on the measure-theoretic concept of outer measure. The meaning of the analogues of different probabilistic concepts is…

Methodology · Statistics 2020-04-21 Jeremie Houssineau

We propose a new experimental technique for cyclic voltammetry, based on the first-order reversal curve (FORC) method for analysis of systems undergoing hysteresis. The advantages of this electrochemical FORC (EC-FORC) technique are…

Materials Science · Physics 2007-08-07 I. Abou Hamad , D. T. Robb , P. A. Rikvold

Theory is presented to simulate both chronoamperometry and cyclic voltammetry at porous electrodes fabricated by means of electro-deposition around spherical templates. A theoretical method to extract heterogeneous rate constants for…

Chemical Physics · Physics 2014-07-08 Edward O. Barnes , Xiaojun Chena , Peilin Li , Richard G. Compton

Measurements have been made of the probability distribution of total transmission of microwave radiation in waveguides filled with randomly positioned scatterers which would have values of the dimensionless conductance g near unity. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Stoytchev , A. Z. Genack

Using a variational technique, we generalize the statistical physics approach of learning from random examples to make it applicable to real data. We demonstrate the validity and relevance of our method by computing approximate estimators…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Malzahn , M. Opper

This paper presents a regression-based method for estimating voltages and voltage sensitivities for volt-var control on distribution circuits with limited data. The estimator uses power flow results for representative load and PV output…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Catie McEntee , Ning Lu , David Lubkeman

This work is dedicated to a novel sampling method for accurately reconstructing elastic and electromagnetic sources from the far field patterns. We show that the proposed indicators in the form of integrals with full far field patterns are…

Numerical Analysis · Mathematics 2025-03-11 Xiaodong Liu , Qingxiang Shi

Teaching by direct models in science has been weakening the learning process of the students, because the real problems in engineering are not solved by direct models instead commonly they are solved by inverse models. On the other hand,…

Physics Education · Physics 2019-08-09 K. L. Cristiano , D. A. Triana , R. Ortiz , A. F. Estupiñán

Using a TE/TM decomposition for an angular plane-wave spectrum of free random electromagnetic waves and matched boundary conditions, we derive the probability density function for the energy density of the vector electric field in the…

Optics · Physics 2015-06-26 L. R. Arnaut

The empirical probability density function for the conditional distribution of the true value of Poisson distribution parameter on one measurement is constructed by computer experiment. The analysis of the obtained distributions confirms…

Data Analysis, Statistics and Probability · Physics 2009-11-10 S. I. Bityukov , V. A. Medvedev , V. V. Smirnova , Yu. V. Zernii

This paper proposes a novel and statistical method of ability estimation based on acquisition distribution for a personalized computer aided question generation. This method captures the learning outcomes over time and provides a flexible…

Human-Computer Interaction · Computer Science 2018-08-30 Yi-Ting Huang , Meng Chang Chen , Yeali S. Sun

Science students must deal with the errors inherent to all physical measurements and be conscious of the necessity to express their as a best estimate and a range of uncertainty. Errors are routinely classified as statistical or systematic.…

Physics Education · Physics 2020-06-03 Martin Monteiro , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

We describe an approximate statistical model for the sample variance distribution of the non-linear matter power spectrum that can be calibrated from limited numbers of simulations. Our model retains the common assumption of a multivariate…

This paper investigates the problem of estimating the spectral power parameters of random analog sources using numerical measurements acquired with minimum digitization complexity. Therefore, spectral analysis has to be performed with…

Signal Processing · Electrical Eng. & Systems 2019-10-29 Manuel S. Stein

Some voltage sources are transient, lasting only for a moment of time, such as the voltage generated by converting a human motion into electricity. Such sources moreover tend to have a degree of randomness as well as internal resistance. We…

Statistical Mechanics · Physics 2022-12-21 Swati , Uttam Singh , Oscar C. O. Dahlsten

This paper introduces a unified framework for the detection of a source with a sensor array in the context where the noise variance and the channel between the source and the sensors are unknown at the receiver. The Generalized Maximum…

Probability · Mathematics 2010-06-16 Pascal Bianchi , Merouane Debbah , Mylène Maïda , Jamal Najim