The bounds testing approach of Pesaran et al. (2001) allows examination of levels relationships between series when their orders of integration are either unknown or uncertain. In this paper it is shown that when the order of integration of a series is uncertain due to the presence of structural change, the bounds testing procedure is subject to severe size distortion and consequently detects s...

We consider a public multi-user information embedding (watermarking) system in which two messages (watermarks) are independently embedded into two correlated covertexts and are transmitted through a multiple-access attack channel. The tradeoff between the achievable embedding rates and the average distortions for the two embedders is studied. For given distortion levels, inner and outer bounds ...

Modular equations occur in number theory, but it is less known that such equations also occur in the study of deformation properties of quasiconformal mappings. The authors study two important plane quasiconformal distortion functions, obtaining monotonicity and convexity properties, and finding sharp bounds for them. Applications are provided that relate to the quasiconformal Schwarz Lemma and...

We investigate the optimal performance of dense sensor networks by studying the joint source-channel coding problem. The overall goal of the sensor network is to take measurements from an underlying random process, code and transmit those measurement samples to a collector node in a cooperative multiple access channel with potential feedback, and reconstruct the entire random process at the col...

In this paper, we introduce a family of harmonic parabolic starlike functions of complex order in the unit disc and coefficient bounds, distortion bounds, extreme points, convolution conditions and convex combination are determined for functions in this family. Further results on integral transforms are discussed. Consequently, many of our results are either extensions or new approaches to thos...

We introduce and investigate classes of (p,q)-starlike harmonic univalent functions defined by subordination. first obtained a coefficient characterization these functions. give necessary sufficient convolution conditions, distortion bounds, compactness extreme points for the with negative coefficients.

A privacy utility tradeoff is developed for any arbitrary set of finite-alphabet source distributions. Privacy is quantified using differential privacy (DP), and utility is quantified using expected Hamming distortion maximized over the set of distributions. The family of source distribution sets (source sets) is categorized into three classes, based on different levels of prior knowledge they ...

We obtain minimax lower and upper bounds for the expected distortion redundancy of empirically designed vector quantizers. We show that the mean squared distortion of a vector quantizer designed from n i.i.d. data points using any design algorithm is at least n 1=2 away from the optimal distortion for some distribution on a bounded subset of Rd. Together with existing upper bounds this result s...