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Linear forms and characterization of probability distributions
Božoňová, Denisa ; Klebanov, Lev (advisor) ; Prášková, Zuzana (referee)
In this paper we will discuss the characterization of strictly ν-normal and strictly ν-stable distribution. At the beginning we mentioned some basic concepts, which we then use in this work. Such as, strongly monotone operator, strictly ξ-positive family, or linear form. Further, we describe the characterization of strictly ν-normal and strictly ν-stable distribution using the above definitions. We also lists examples of ν-stable distributions and we prove corresponding results. In the last chapter we look at the use of mentioned distributions in practice, namely ν-stable distribution. 1

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