Batch Mode Active Sampling Based on Marginal Probability Distribution Matching

2013 ◽  
Vol 7 (3) ◽  
pp. 1-25 ◽  
Author(s):  
Rita Chattopadhyay ◽  
Zheng Wang ◽  
Wei Fan ◽  
Ian Davidson ◽  
Sethuraman Panchanathan ◽  
...  
Keyword(s):  
Probability Distribution ◽  
Marginal Probability ◽  
Active Sampling ◽  
Batch Mode ◽  
Marginal Probability Distribution ◽  
Distribution Matching

Parameterization of multifractal cascade models based on their breakdown coefficients

2020 ◽  
Author(s):  
César Aguilar Flores ◽  
Alin Andrei Carsteanu
Keyword(s):  
Time Series ◽  
Probability Distribution ◽  
Rainfall Intensity ◽  
Probability Distributions ◽  
Asymptotic Properties ◽  
Distribution Functions ◽  
Marginal Probability ◽  
Probability Distribution Functions ◽  
Marginal Probability Distribution ◽  
Cascade Models

<p>Breakdown coefficients of multifractal cascades have been shown, in various contexts, to be ergodic in their (marginal) probability distribution functions, however the necessary connection between the cascading process (or a tracer thereof, such as rainfall) and the breakdown coefficients of the measure generated by the cascade, was missing. This work presents a method of parameterization of certain types of multiplicative cascades, using the breakdown coefficients of the measures they generate. The method is based on asymptotic properties of the probability distributions of the breakdown coefficients in “dressed” cascades, as compared with the respective distributions of the cascading weights. An application to rainfall intensity time series is presented.</p>

WIGNER OPERATOR AND SQUEEZING FOR ROTATED QUADRATURE PHASES

1996 ◽  
Vol 10 (20) ◽  
pp. 989-998 ◽  
Author(s):  
HONG-YI FAN ◽  
MIN XIAO
Keyword(s):  
Probability Distribution ◽  
Wigner Function ◽  
Function Theory ◽  
Marginal Probability ◽  
Wigner Operator ◽  
Marginal Probability Distribution ◽  
Quadrature Phase ◽  
Mutual Relations

We introduce the Wigner operator [Formula: see text] for the rotated quadrature phases and use the technique of integration within an ordered product of operators to derive its explicitly simpler form. Based on this, the mutual relations between [Formula: see text] and the corresponding marginal probability distribution operator can be easily revealed. The Wigner function theory is thus be recasted into a more elegant and concise formalism. The squeezing in rotated quadrature phase is discussed with the same method.

scholarly journals The Definition of Finite Sequences and Matrices of Probability, and Addition of Matrices of Real Elements

2006 ◽  
Vol 14 (3) ◽  
pp. 101-108 ◽  
Author(s):  
Bo Zhang ◽  
Yatsuka Nakamura
Keyword(s):  
Probability Distribution ◽  
Quadratic Form ◽  
Conditional Probability ◽  
Joint Probability ◽  
Marginal Probability ◽  
Finite Sequences ◽  
Definition Of

The Definition of Finite Sequences and Matrices of Probability, and Addition of Matrices of Real Elements In this article, we first define finite sequences of probability distribution and matrices of joint probability and conditional probability. We discuss also the concept of marginal probability. Further, we describe some theorems of matrices of real elements including quadratic form.

scholarly journals Probabilistic assessment of urban runoff erosion potential

2006 ◽  
Vol 33 (3) ◽  
pp. 307-318
Author(s):  
J A Harris ◽  
B J Adams
Keyword(s):  
Probability Distribution ◽  
Stormwater Management ◽  
Probabilistic Models ◽  
Probability Distributions ◽  
Computational Effort ◽  
Distribution Theory ◽  
Marginal Probability ◽  
Continuous Simulation ◽  
Channel Velocity ◽  
Lower Magnitude

At the planning or screening level of urban development, analytical modeling using derived probability distribution theory is a viable alternative to continuous simulation, offering considerably less computational effort. A new set of analytical probabilistic models is developed for predicting the erosion potential of urban stormwater runoff. The marginal probability distributions for the duration of a hydrograph in which the critical channel velocity is exceeded (termed exceedance duration) are computed using derived probability distribution theory. Exceedance duration and peak channel velocity are two random variables upon which erosion potential is functionally dependent. Reasonable agreement exists between the derived marginal probability distributions for exceedance duration and continuous EPA Stormwater Management Model (SWMM) simulations at more common return periods. It is these events of lower magnitude and higher frequency that are the most significant to erosion-potential prediction. Key words: erosion, stormwater management, derived probability distribution, exceedance duration.

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