This article provides a brief introduction to the Health Insurance Portability and Accountability Act of 1996 (HIPAA) Privacy Rule's minimum necessary standard, which applies to sharing of genomic data, particularly clinical data, following 2013 Privacy Rule revisions. This research used the Thomson Reuters Westlaw database and law library resources in its legal analysis of the HIPAA privacy ti...

Bose and Lin introduced a class of systematic codes for detection of binary asymmetric errors. Later, in [4] this class was generalized and the Generalized Bose-Lin (GBL) codes were introduced. In this note, we describe a Generalized Bose-Lin codes of limited magnitude l. For these codes, the possible undetectable errors are characterized, the undetectable errors of minimum weight are determine...

We study maximal families A of subsets of [n] = {1, 2, . . . , n} such that A contains only pairs and triples and A 6⊆ B for all {A,B} ⊆ A, i.e. A is an antichain. For any n, all such families A of minimum size are determined. This is equivalent to finding all graphs G = (V,E) with |V | = n and with the property that every edge is contained in some triangle and such that |E| − |T | is maximum, ...

The most commonly used deconvolution (Decon) method is based on minimum-phase assumption for the wavelet which is often not valid. Explosive energy source is close to minimum-phase which makes seismic data with explosive somewhat amenable to predictive Decon though the result is imperfect in phase. Decon of Vibroseis data is more problematic because the wavelet in a correlated Vibroseis trace i...

We investigate the new definition of the ordered dynamics proposed in [4]. We show that this definition leads to several properties. In particular we give necessary and sufficient conditions which indicate when a transformation preserves the dynamics of the regional maxima. We also establish a link between the dynamics, minimum spanning trees, and component trees.

We consider the factorization of an all-pass matrix function E(s) using proper stable minimum-phase factors. State-space formulae for the stable minimum-phase factors of E(s) are derived (when they exist), as well as state-space formulae for the Wiener-Hopf factors. This is achieved using the state-space characterization of allpass matrix functions given by Glover (1984) in conjunction with the...

We construct a class of nonnegative martingale processes that oscillate indefinitely with high probability. For these processes, we state a uniform rate of the number of oscillations for a given magnitude and show that this rate is asymptotically close to the theoretical upper bound. These bounds on probability and expectation of the number of upcrossings are compared to classical bounds from t...