A note on sample path properties of l p-valued Gaussian processes

2000 ◽  
Vol 15 (4) ◽  
pp. 461-469
Author(s):  
Wei Qicai ◽  
Chen Liyuan
Keyword(s):  
Gaussian Processes ◽  
Sample Path ◽  
Sample Path Properties ◽  
Path Properties

Increments and sample path properties of Gaussian processes

1999 ◽  
Vol 44 (18) ◽  
pp. 1633-1641 ◽  
Author(s):  
Zhengyan Lin ◽  
Lixin Zhang
Keyword(s):  
Gaussian Processes ◽  
Sample Path ◽  
Sample Path Properties ◽  
Path Properties

Sample path behaviour of Χ2 surfaces at extrema

1988 ◽  
Vol 20 (4) ◽  
pp. 719-738 ◽  
Author(s):  
Michael Aronowich ◽  
Robert J. Adler
Keyword(s):  
Rough Surfaces ◽  
Sample Path ◽  
Gaussian Field ◽  
Random Surfaces ◽  
Sample Path Properties ◽  
Low Levels ◽  
Path Properties

We study the sample path properties of χ2 random surfaces, in particular in the neighbourhood of their extrema. We show that, as is the case for their Gaussian counterparts, χ2 surfaces at high levels follow the form of certain deterministic paraboloids, but that, unlike their Gaussian counterparts, at low levels their form is much more random. This has a number of interesting implications in the modelling of rough surfaces and the study of the ‘robustness' of Gaussian field models. The general approach of the paper is the study of extrema via the ‘Slepian model process', which, for χ2 fields, is tractable only at asymptotically high or low levels.

Sample path properties of the G/D/m queue

1993 ◽  
Vol 65 (2) ◽  
pp. 270-273
Author(s):  
Michael C. Fu ◽  
Jian-Qiang Hu
Keyword(s):  
Sample Path ◽  
Sample Path Properties ◽  
Path Properties
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