Some Statistical Properties of Signal Plus Narrow Band Noise Integrated over a Finite Time Interval

1956 ◽  
Vol 27 (12) ◽  
pp. 1442-1448 ◽  
Author(s):  
L. C. Maximon ◽  
J. P. Ruina
Keyword(s):  
Finite Time ◽  
Narrow Band ◽  
Statistical Properties ◽  
Time Interval ◽  
Finite Time Interval ◽  
Narrow Band Noise ◽  
Band Noise

A finite-time ruin probability formula for continuous claim severities

2004 ◽  
Vol 41 (2) ◽  
pp. 570-578 ◽  
Author(s):  
Zvetan G. Ignatov ◽  
Vladimir K. Kaishev
Keyword(s):  
Real Function ◽  
Finite Time ◽  
Ruin Probability ◽  
Joint Distribution ◽  
Time Interval ◽  
Insurance Company ◽  
Finite Time Interval ◽  
Appell Polynomials ◽  
Premium Income ◽  
Inverted Dirichlet

An explicit formula for the probability of nonruin of an insurance company in a finite time interval is derived, assuming Poisson claim arrivals, any continuous joint distribution of the claim amounts and any nonnegative, increasing real function representing its premium income. The formula is compact and expresses the nonruin probability in terms of Appell polynomials. An example, illustrating its numerical convenience, is also given in the case of inverted Dirichlet-distributed claims and a linearly increasing premium-income function.

scholarly journals Target detection against narrow band noise backgrounds

1999 ◽  
Vol 39 (13) ◽  
pp. 2191-2203 ◽  
Author(s):  
Mark W. Cannon ◽  
Greg J. Reese ◽  
Steven C. Fullenkamp
Keyword(s):  
Target Detection ◽  
Narrow Band ◽  
Narrow Band Noise ◽  
Band Noise

scholarly journals Finite-Time Boundedness for a Class of Delayed Markovian Jumping Neural Networks with Partly Unknown Transition Probabilities

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Li Liang
Keyword(s):  
Neural Networks ◽  
Finite Time ◽  
Transition Probabilities ◽  
The State ◽  
Time Interval ◽  
Finite Time Interval ◽  
Markovian Jumping ◽  
Stochastic Boundedness ◽  
Partly Unknown Transition Probabilities ◽  
Finite Time Boundedness

This paper is concerned with the problem of finite-time boundedness for a class of delayed Markovian jumping neural networks with partly unknown transition probabilities. By introducing the appropriate stochastic Lyapunov-Krasovskii functional and the concept of stochastically finite-time stochastic boundedness for Markovian jumping neural networks, a new method is proposed to guarantee that the state trajectory remains in a bounded region of the state space over a prespecified finite-time interval. Finally, numerical examples are given to illustrate the effectiveness and reduced conservativeness of the proposed results.

On robust controllability of uncertain non-linear jump systems with respect to the finite-time interval

2011 ◽  
Vol 34 (7) ◽  
pp. 841-849 ◽  
Author(s):  
Shuping He ◽  
Fei Liu
Keyword(s):  
Finite Time ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Time Interval ◽  
Finite Time Interval ◽  
Markov Jump ◽  
Non Linear ◽  
Robust Controllability ◽  
Jump Systems ◽  
Takagi Sugeno

In this paper we study the robust control problems with respect to the finite-time interval of uncertain non-linear Markov jump systems. By means of Takagi–Sugeno fuzzy models, the overall closed-loop fuzzy dynamics are constructed through selected membership functions. By using the stochastic Lyapunov–Krasovskii functional approach, a sufficient condition is firstly established on the stochastic robust finite-time stabilization. Then, in terms of linear matrix inequalities techniques, the sufficient conditions on the existence of the stochastic finite-time controller are presented and proved. Finally, the design problem is formulated as an optimization one. The simulation results illustrate the effectiveness of the proposed approaches.

Search for narrow-band-noise modulations of the infrared transmission of blue bronze

2002 ◽  
Vol 12 (9) ◽  
pp. 85-86
Author(s):  
R. C. Rai ◽  
V. A. Bondarenko ◽  
J. W. Brill
Keyword(s):  
Absorption Coefficient ◽  
Narrow Band ◽  
Diode Lasers ◽  
Infrared Transmission ◽  
Narrow Band Noise ◽  
Band Noise ◽  
Tunable Diode Lasers ◽  
Upper Limits ◽  
Blue Bronze

We have searched for narrow-band-noise (NBN) modulations of the infrared transmission in blue bronze, using tunable diode lasers. No modulations were observed, giving an upper limits for NBN changes in the absorption coefficient of $\Delta \alpha_{NBN} < 0.3 $ / cm ($\approx \alpha/2000$). The implication of these results on proposed CDW properties and NBN mechanisms are discussed.

Lateralization of Narrow-Band Noise by Blind and Sighted Listeners

Perception ◽  
10.1068/p3338 ◽  
2002 ◽  
Vol 31 (7) ◽  
pp. 855-873 ◽  
Author(s):  
Helen J Simon ◽  
Pierre L Divenyi ◽  
Al Lotze
Keyword(s):  
Narrow Band ◽  
Lateral Displacement ◽  
Spatial Hearing ◽  
Binaural Hearing ◽  
Center Frequency ◽  
Intensity Difference ◽  
Sensation Level ◽  
Individual Subject ◽  
Narrow Band Noise ◽  
Band Noise

The effects of varying interaural time delay (ITD) and interaural intensity difference (IID) were measured in normal-hearing sighted and congenitally blind subjects as a function of eleven frequencies and at sound pressure levels of 70 and 90 dB, and at a sensation level of 25 dB (sensation level refers to the pressure level of the sound above its threshold for the individual subject). Using an ‘acoustic’ pointing paradigm, the subject varied the IID of a 500 Hz narrow-band (100 Hz) noise (the ‘pointer’) to coincide with the apparent lateral position of a ‘target’ ITD stimulus. ITDs of 0, ±200, and ±400 μs were obtained through total waveform delays of narrow-band noise, including envelope and fine structure. For both groups, the results of this experiment confirm the traditional view of binaural hearing for like stimuli: non-zero ITDs produce little perceived lateral displacement away from 0 IID at frequencies above 1250 Hz. To the extent that greater magnitude of lateralization for a given ITD, presentation level, and center frequency can be equated with superior localization abilities, blind listeners appear at least comparable and even somewhat better than sighted subjects, especially when attending to signals in the periphery. The present findings suggest that blind listeners are fully able to utilize the cues for spatial hearing, and that vision is not a mandatory prerequisite for the calibration of human spatial hearing.

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