A stochastic characterization of Loewner optimality design criterion in linear models

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.

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Stochastic Characterization of Flutter Using Historical Wind Tunnel Data

48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference ◽

10.2514/6.2007-1769 ◽

2007 ◽

Cited By ~ 4

Author(s):

Jennifer Heeg

Keyword(s):

Wind Tunnel ◽

Stochastic Characterization ◽

Wind Tunnel Data

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

Advances in Water Resources ◽

10.1016/0309-1708(94)90023-x ◽

1994 ◽

Vol 17 (1-2) ◽

pp. 47-59 ◽

Cited By ~ 16

Author(s):

Juan B. Valdés ◽

Eunho Ha ◽

Chulsang Yoo ◽

Gerald R. North

Keyword(s):

Remote Sensing ◽

Space Time ◽

Stochastic Characterization

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A stochastic characterization of chronic ventricular ectopic activity

IEEE Transactions on Biomedical Engineering ◽

10.1109/10.4583 ◽

1988 ◽

Vol 35 (7) ◽

pp. 539-550 ◽

Cited By ~ 9

Author(s):

P. Albrecht ◽

R.J. Cohen ◽

R.G. Mark

Keyword(s):

Ectopic Activity ◽

Ventricular Ectopic Activity ◽

Stochastic Characterization

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Closure to “Discussion of ‘Stochastic Characterization of Macro- and Microerrors of Journal Bearing Roundness’” (1977, ASME J. Eng. Ind., 99, pp. 334–335)

Journal of Engineering for Industry ◽

10.1115/1.3439219 ◽

1977 ◽

Vol 99 (2) ◽

pp. 335-335

Author(s):

B. Velsher ◽

M. O. M. Osman ◽

T. S. Sankar

Keyword(s):

Journal Bearing ◽

Stochastic Characterization

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Stochastic Characterization of Epoxies to Predict Performance Uncertainty of Photonic Packages

Electronic and Photonic Packaging, Electrical Systems Design and Photonics, and Nanotechnology ◽

10.1115/imece2004-61846 ◽

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.

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

Games ◽

10.3390/g11040054 ◽

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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