Sankhya A
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0976-8378, 0976-836x

Sankhya A ◽  
2021 ◽  
Author(s):  
Barry C. Arnold ◽  
Jose A. Villasenor

AbstractIn a sequence of independent identically distributed geometric random variables, the sum of the first two record values is distributed as a simple linear combination of geometric variables. It is verified that this distributional property characterizes the geometric distribution. A related characterization conjecture is also discussed. Related discussion in the context of weak records is also provided.


Sankhya A ◽  
2021 ◽  
Author(s):  
Emily Casleton ◽  
Daniel J. Nordman ◽  
Mark S. Kaiser

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