This paper deals with the problem of generating samples from a commonly used form of Laplacian distribution. The algorithm was developed particularly for use in generating samples from priors which deene models for images. It is shown that by ranking the independent variables in the distribution, an analytic expression for the Cumulative Density function can be derived. This can be used to gene...

Systems of Prony type appear in various signal reconstruction problems such as finite rate of innovation, superresolution and Fourier inversion of piecewise smooth functions. We propose a novel approach for solving Prony-type systems, which requires sampling the signal at arithmetic progressions. By keeping the number of equations small and fixed, we demonstrate that such “decimation” can lead ...

The objective of this paper is a study of performance of various techniques for correlation control when sampling from a multivariate population within the framework of Monte Carlo simulations, especially Latin Hypercube Sampling. In particular, we study the ability of the methods to fulfill the prescribed marginals and correlation structure of a random vector for various sample sizes. Two norm...

Social network analysis has drawn the attention of many researchers recently. As the advance of communication technologies, the scale of social networks grows rapidly. To capture the characteristics of very large social networks, graph sampling is an important approach that does not require visiting the entire network. Prior studies on graph sampling focused on preserving the properties such as...

Exact formulas for the mean and variance of the proportion of different types in a fixed generation of a multi-type Galton-Watson process are derived. The formulas are given in terms of iterates of the probability generating function of the offspring distribution. It is also shown that the sequence of types backwards from a randomly sampled particle in a fixed generation is a non-homogeneous Ma...

Discrete time signal is nothing but samples continuous time signal and this process is called as sampling. If inter-sampling distance is constant it is called as uniform sampling and if distance is unequal, it is non-uniform sampling. Irrespective of type of sampling, reconstruction is possible if sampling rate do not exceed Nyquist rate. Sinc interpolation is one of the methods which results i...

Keywords: Filter Modular space (Modular) filter convergence Rate of convergence Sampling operator Integral operator Urysohn operator Mellin convolution operator a b s t r a c t We investigate the order of approximation of a real-valued function f by means of suitable families of sampling type operators, which include both discrete and integral ones. We give a unified approach, by means of which...

The standard temporal method for estimating effective population size (N(e)) assumes that generations are discrete, but it is routinely applied to species with overlapping generations. We evaluated bias in the estimates N(e) caused by violation of this assumption, using simulated data for three model species: humans (type I survival), sparrow (type II), and barnacle (type III). We verify a prev...

If observations covering the whole of a body of material are available, the errors which are to be expected when sampling further material of the same type can be estimated and the relative accuracy of different sampling methods determined. Unfortunately, however, the numerical work required for investigations of this kind is very considerable, and in consequence when only desk machines are ava...