Sample path properties of stochastic processes represented as multiple stable integrals

Originally published as a technical report no. 871, October 1989 for Cornell University Operations Research and Industrial Engineering. Available online: http://hdl.handle.net/1813/8754This paper studies the sample path properties of stochastic processes represented by multiple symmetric α-stable integrals. It relates the “smoothness” of the sample paths to the “smoothness” of the (non-random) integrand. It also contains results about the behavior of the distribution of suprema and zero-one laws

General inverse problems for regular variation

Regular variation of distributional tails is known to be preserved by various linear transformations of some random structures. An inverse problem for regular variation aims at understanding whether the regular variation of a transformed random object is caused by regular variation of components of the original random structure. In this paper we build up on previous work and derive results in the multivariate case and in situations where regular variation is not restricted to one particular direction or quadrant

Miscellaneous—Construction of Tariff Rates

Bianchi v. Sears, Roebuck & Co., 1 N. Y. 2d 63, 133 N. E. 2d 699 (1956)

Real Property—Wrongful Dispossession of Statutory Sub-Tenant—No Damages

Drinkhouse v. Parka Corporation, 3 N.Y.2d 82, 164 N.Y.S.2d 1 (1957)

Administrative Law—Hotels Not Special Class of Housing Accommodations Within Rent Control Law

Hotel Association of New York City v. Weaver, 3 N.Y.2d 206, 165 N.Y.S.2d 17 (1957)

Torts—MacPherson v. Buick—Applicable to Real Property

Inman v. Binghamton Housing Authority, 3 N.Y.2d 137, 164 N.Y.S.2d 699 (1957)

Municipal Corporations—Lodging Houses—Accessory to Hospital Use

DeMott v. Notey, 3 N.Y.2d 116, 164 N.Y.S.2d 398 (1957)

Municipal Corporations—Lodging Houses—Accessory to Hospital Use

DeMott v. Notey, 3 N.Y.2d 116, 164 N.Y.S.2d 398 (1957)