This title is written for the numerate nonspecialist, and hopes to serve three purposes. First it gathers mathematical material from diverse but related fields of order statistics, records, extreme value theory, majorization, regular variation and subexponentiality. All of these are relevant for...

Generalizing the definition of sub-Gaussian processes we define a sub-stable process as a scale mixture of symmetric stable processes and study its infinite divisibility. This turns out to be strictly dependent on the geometry of a sub-space () of the L[alpha]-space generated by the...

It is well known that a function exp{z.sfnc;(max(z.sfnc;xz.sfnc;, z.sfnc;yz.sfnc;))[alpha]} is positive definite on 2 for every [alpha] [set membership, variant] (0, 1]. In paper we show that if n [greater-or-equal, slanted] 3 there is no positive definite norm dependent function on n with the...