The formula for the spectral moments is expanded in a series consisting of autocorrelation terms. By using the autocorrelation extrapolation inherent in the maximum entropy method (MEM) for spectral analysis, it is found that good estimates of the moments can be found from a very low order autoregressive model. The motivation for this investigation came from results obtained during spectral ana...

The impact of process variations continues to grow as transistor feature size shrinks. Such variations in transistor parameters lead to variations and unpredictability in circuit output and may ultimately cause them to violate specifications leading to circuit failure. In fact, timely failures in critical circuits may lead to catastrophic failures in the entire chip. As such, statistical modeli...

Simulation from data may be carried out for various purposes in water resources and is most simply achieved when the recorded data set can be regarded as a sequence of independent random variables. The aim is then to simulate a data set from a proabability distribution with similar statistical properties to the recorded data. In a recent paper it was shown that a finite mixture of a large numbe...

In this article we introduce a new Gaussian proposal distribution to be used in conjunction with the sequential Monte Carlo (SMC) method for solving non-linear filtering problem. This proposal incorporates all the information about the to be estimated current state from both the available state and observation processes. This makes it more effective than the commonly used state transition densi...

This paper describes a novel moment matching based fitting method for phase-type (PH) distributions. A special sub-class of phase-type distributions is introduced for the fitting, called generalized hyper-Erlang distributions. The user has to provide only two parameters: the number of moments to match, and the upper bound for the sum of the multiplicities of the eigenvalues of the distribution,...

A fast and accurate simulation method for high-speed clock trees with buffer insertions is proposed in this paper, where transmission line model is used in all branches of clock trees rather than only in main path. The proposed method is based on two-moment matching technique and can approximate all damping responses, with analytical formulas for time domain responses given. It is shown that th...

We consider the problem of estimating the support size of a discrete distribution whose minimum non-zero mass is at least 1 k using independent samples. We show that the minimax sample complexity to achieve an additive error of k with probability at least 0.5 is within universal constant factors of k log k log 2 1 , which improves the state-of-the-art result k 2 log k due to Valiant and Valiant...

Generative moment matching network (GMMN) is a deep generative model that differs from Generative Adversarial Network (GAN) by replacing the discriminator in GAN with a two-sample test based on kernel maximum mean discrepancy (MMD). Although some theoretical guarantees of MMD have been studied, the empirical performance of GMMN is still not as competitive as that of GAN on challenging and large...

| This paper presents an event-driven algorithm for the symbolic analysis of power and ground bus networks using moment matching techniques to estimate the transfer function at each node in the P/G network. The P/G network is modeled by a hierarchical combination of mesh and tree structures that are composed of a collection of RCsegments and pulldown (or pullup) switches. The switches are symbo...

Circuits with delay elements are very popular and important in the simulation of very-large-scale integration (VLSI) systems. Neutral systems (NSs) with multiple constant delays (MCDs), for example, can be used to model the partial element equivalent circuits (PEECs), which are widely used in high-frequency electromagnetic (EM) analysis. In this paper, the model order reduction (MOR) problem fo...