The Operator Ν-stable Laws
نویسندگان
چکیده
Operator stable laws are the limits of operator normed and centered sums of independent, identically distributed random vectors. The operator ν-stable laws are the analogous limit distributions for randomized sums. In this paper we characterize operator ν-stable laws and their domains of attraction. We also discuss several applications, including the scaling limits of continuous time random walks and the special case of operator geometric stable laws, which are useful in finance.
منابع مشابه
Operator geometric stable laws
Operator geometric stable laws are the weak limits of operator normed and centered geometric random sums of independent, identically distributed random vectors. They generalize operator stable laws and geometric stable laws. In this work we characterize operator geometric stable distributions, their divisibility and domains of attraction, and present their application to finance. Operator geome...
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