intershock interval
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A note on cumulative shock models

1988 ◽  
Vol 25 (01) ◽  
pp. 220-223 ◽  
Author(s):  
Kevin K. Anderson
Keyword(s):  
Limit Theorems ◽  
Domain Of Attraction ◽  
Weak Limit ◽  
Shock Model ◽  
Time Intervals ◽  
Stable Law ◽  
Shock Models ◽  
Weak Limit Theorems ◽  
First Time ◽  
Intershock Interval

A shock model in which the time intervals between shocks are in the domain of attraction of a stable law of order less than 1 or relatively stable is considered. Weak limit theorems are established for the cumulative magnitude of the shocks and the first time the cumulative magnitude exceeds z without any assumption on the dependence between the intershock interval and shock magnitude.

A note on cumulative shock models

1988 ◽  
Vol 25 (1) ◽  
pp. 220-223 ◽  
Author(s):  
Kevin K. Anderson
Keyword(s):  
Limit Theorems ◽  
Domain Of Attraction ◽  
Weak Limit ◽  
Shock Model ◽  
Time Intervals ◽  
Stable Law ◽  
Shock Models ◽  
Weak Limit Theorems ◽  
First Time ◽  
Intershock Interval

A shock model in which the time intervals between shocks are in the domain of attraction of a stable law of order less than 1 or relatively stable is considered. Weak limit theorems are established for the cumulative magnitude of the shocks and the first time the cumulative magnitude exceeds z without any assumption on the dependence between the intershock interval and shock magnitude.

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