Exchangeable models for vertex labeled graphs cannot replicate the large sample behaviors of sparsity and power law degree distributions observed in many network datasets. Out of this mathematical impossibility emerges the question of how network data can be modeled in a way that reflects known empirical behaviors and respects basic statistical principles. We address this question by observing ...

We present three attacks on the Prime Power RSA with modulus N = pq. In the first attack, we consider a public exponent e satisfying an equation ex − φ(N)y = z where φ(N) = pr−1(p − 1)(q − 1). We show that one can factor N if the parameters |x| and |z| satisfy |xz| < N r(r−1) (r+1)2 thereby extending the recent results of Sakar [16]. In the second attack, we consider two public exponents e1 and...

OBJECTIVE To determine the effect of inequalities in income within a state on self rated health status while controlling for individual characteristics such as socioeconomic status. DESIGN Cross sectional multilevel study. Data were collected on income distribution in each of the 50 states in the United States. The Gini coefficient was used to measure statewide inequalities in income. Random ...