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math.PR2014
On the convergence for partial sum processes with a reduced number of jumps
Danijel Krizmanic
Various functional limit theorems for partial sum processes of strictly stationary sequences of regularly varying random variables in the space of cadlag functions with on…
math.PR2014
Weak convergence of partial maxima processes in the topology
Danijel Krizmanić
It is known that for a sequence of independent and identically distributed random variables the regular variation condition is equivalent to weak convergence of partial m…