A Stochastic Characterization of Arov-completable Matrix-valued Schur Functions

1994 ◽  
Vol 169 (1) ◽  
pp. 135-148 ◽  
Author(s):  
Bernd Fritzsche ◽  
Bernd Kirstein
Keyword(s):  
Schur Functions ◽  
Stochastic Characterization

A stochastic characterization of Loewner optimality design criterion in linear models

Metrika ◽  
2001 ◽  
Vol 53 (3) ◽  
pp. 207-222 ◽  
Author(s):  
Erkki P. Liski ◽  
Alexander Zaigraev
Keyword(s):  
Linear Models ◽  
Design Criterion ◽  
Stochastic Characterization

scholarly journals BOUNDARY ANGULAR DERIVATIVES OF GENERALIZED SCHUR FUNCTIONS

2012 ◽  
Vol 93 (3) ◽  
pp. 203-224
Author(s):  
VLADIMIR BOLOTNIKOV ◽  
TENGYAO WANG ◽  
JOSHUA M. WEISS
Keyword(s):  
Schur Functions ◽  
Taylor Coefficients ◽  
Generalized Schur Functions ◽  
Angular Derivatives ◽  
Derivatives Of

AbstractCharacterization of generalized Schur functions in terms of their Taylor coefficients was established by Krein and Langer [‘Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im Raume ${\Pi }_{\kappa } $ zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen’, Math. Nachr. 77 (1977), 187–236]. We establish a boundary analogue of this characterization.

On Stochastic Characterization of Temporal Storm Patterns

1984 ◽  
Vol 16 (8-9) ◽  
pp. 147-153 ◽  
Author(s):  
Van-Thanh-Van Nguyen
Keyword(s):  
Markov Chain ◽  
Probability Distributions ◽  
First Order ◽  
Stochastic Characterization ◽  
Order Markov Chain ◽  
Hourly Rainfall ◽  
General Stochastic Model ◽  
Storm Rainfall ◽  
Rainfall Occurrences

The present study, a continuation of a previous work by the author, suggests a new theoretical approach to the characterization of the temporal pattern of storms. A storm is defined as a continuous run of non-zero one-hour rainfall depths. A general stochastic model is developed to determine the probability distributions of cumulative storm rainfall amounts at successive time intervals after the storm began. The previous model for characterizing storm temporal patterns was based on the assumption that hourly rainfall depths were independent and identically exponentially distributed random variables, while sequences of wet hours were modeled by a first-order stationary Markov chain. Hence, the model did only introduce dependence of wet hour occurences into the rainfall process through the first-order Markov chain. The present paper proposes a more general model that can take into account both the persistence in hourly rainfall occurrences and the dependence between successive hourly rainfall depths. Results of an illustrative example show that by accounting for the correlation structure of consecutive rainfall depths the present model gives a better fit to the observations than the previous one.

Stochastic characterization of space-time precipitation: Implications for remote sensing

1994 ◽  
Vol 17 (1-2) ◽  
pp. 47-59 ◽  
Author(s):  
Juan B. Valdés ◽  
Eunho Ha ◽  
Chulsang Yoo ◽  
Gerald R. North
Keyword(s):  
Remote Sensing ◽  
Space Time ◽  
Stochastic Characterization

scholarly journals A stochastic characterization of chronic ventricular ectopic activity

1988 ◽  
Vol 35 (7) ◽  
pp. 539-550 ◽  
Author(s):  
P. Albrecht ◽  
R.J. Cohen ◽  
R.G. Mark
Keyword(s):  
Ectopic Activity ◽  
Ventricular Ectopic Activity ◽  
Stochastic Characterization

Stochastic Characterization of Epoxies to Predict Performance Uncertainty of Photonic Packages

2004 ◽  
Author(s):  
S. Radhakrishnan ◽  
G. Subbarayan ◽  
L. Nguyen ◽  
W. Mazotti
Keyword(s):  
Analytical Model ◽  
Stochastic Analysis ◽  
Coupling Efficiency ◽  
Viscoelastic Behavior ◽  
Material Behavior ◽  
Considerable Uncertainty ◽  
Stochastic Characterization ◽  
Degree Of Confidence ◽  
Extensive Experimental Data

There is considerable uncertainty in the prediction of performance of a system mainly due to idealizations in geometry, material behavior, and loading history. Uncertainties in geometry can be predicted and controlled using tighter tolerances. However, the models currently used to describe material behavior are mostly deterministic. To predict the coupling efficiency of a photonic system to greater degree of confidence, stochastic analysis procedures are necessary. As part of this analysis, the behavior of materials must be stochastically characterized. In this paper, we present extensive experimental data on thermally and UV-cured epoxies typically used in photonic packages to enable stochastic analysis. The test data includes the viscoelastic behavior. We present analytical model to obtain the variation in the displacement of the epoxies resulting from its stochastic viscoelastic behavior. We utilize the analytical model to predict the uncertainty in the coupling efficiency of a generic photonic package.

scholarly journals A Stochastic Characterization of the Capture Zone in Pursuit-Evasion Games

Games ◽  
2020 ◽  
Vol 11 (4) ◽  
pp. 54
Author(s):  
Simone Battistini
Keyword(s):  
Optimal Strategies ◽  
Capture Zone ◽  
Pursuit Evasion ◽  
Guidance Strategies ◽  
Stochastic Characterization ◽  
Evasion Game ◽  
Multi Agent ◽  
Planning Problems ◽  
Insight Into

Pursuit-evasion games are used to define guidance strategies for multi-agent planning problems. Although optimal strategies exist for deterministic scenarios, in the case when information about the opponent players is imperfect, it is important to evaluate the effect of uncertainties on the estimated variables. This paper proposes a method to characterize the game space of a pursuit-evasion game under a stochastic perspective. The Mahalanobis distance is used as a metric to determine the levels of confidence in the estimation of the Zero Effort Miss across the capture zone. This information can be used to gain an insight into the guidance strategy. A simulation is carried out to provide numerical results.

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