Exchangeable random measures in the plane

1990 ◽  
Vol 3 (1) ◽  
pp. 81-136 ◽  
Author(s):  
Olav Kallenberg
Keyword(s):  
Random Measures

Lévy random measures

1976 ◽  
Vol 8 (2) ◽  
pp. 225-226
Author(s):  
Alan F. Karr
Keyword(s):  
Random Measures

scholarly journals On intensities of modulated Cox measures

1998 ◽  
Vol 11 (3) ◽  
pp. 411-423 ◽  
Author(s):  
Jewgeni H. Dshalalow
Keyword(s):  
Stochastic Process ◽  
Stochastic Models ◽  
Queueing Systems ◽  
Random Measure ◽  
Random Measures ◽  
Explicit Formulas ◽  
State Dependent

In this paper we introduce and study functionals of the intensities of random measures modulated by a stochastic process ξ, which occur in applications to stochastic models and telecommunications. Modulation of a random measure by ξ is specified for marked Cox measures. Particular cases of modulation by ξ as semi-Markov and semiregenerative processes enabled us to obtain explicit formulas for the named intensities. Examples in queueing (systems with state dependent parameters, Little's and Campbell's formulas) demonstrate the use of the results.

scholarly journals Distributional results for means of normalized random measures with independent increments

2003 ◽  
Vol 31 (2) ◽  
pp. 560-585 ◽  
Author(s):  
Igor Pr�nster ◽  
Antonio Lijoi ◽  
Eugenio Regazzini
Keyword(s):  
Random Measures ◽  
Independent Increments
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