Abstract A new Lomax Rayleigh distribution (NLRD) is proposed and generated using Transformed Transformer (T-X) family generator. Various structural properties like generating functions, moments, limiting form, quantile function median mode of NLRD are studied. Maximum likelihood estimators (MLEs) the parameters obtained model fitting tested with simulated data. Model adequacy live data explain...

This paper describes a procedure for the design of fast simulation models for Rayleigh fading channels. The presented method is based on an efficient implementation of Rice’s sum of sinusoids by using table look-up techniques. The proposed channel simulator is composed of a few number of adders, storage elements, and simple modulo operators, whereas time-consuming operations like multiplication...

In this paper, we propose a novel codebook for multiple-input multiple-output (MIMO) Rician fading channels. While the most conventional codebooks are designed in Rayleigh fading channels, we design a hybrid codebook which combines discrete Fourier transform matrix-based codebook for MIMO Rayleigh fading channels and array matrix-based codebook for MIMO line-ofsight channels. Especially, a back...

Strongly Rayleigh distributions are natural generalizations of product and determinantal probability distributions and satisfy the strongest form of negative dependence properties. We show that the “natural” Monte Carlo Markov Chain (MCMC) algorithm mixes rapidly in the support of a homogeneous strongly Rayleigh distribution. As a byproduct, our proof implies Markov chains can be used to effici...

We investigate the effect of weak rotation on the large-scale circulation (LSC) of turbulent Rayleigh-Bénard convection, using the theory for cessations in a low-dimensional stochastic model of the flow previously studied. We determine the cessation frequency of the LSC as a function of rotation, and calculate the statistics of the amplitude and azimuthal velocity fluctuations of the LSC as a f...