ABSTRACT We quantify the cosmological constraining power of ‘lensing probability density function (PDF)’ – one-point weak lensing convergence maps by modelling this statistic numerically with an emulator trained on w cold dark matter cosmic shear simulations. After validating our methods Gaussian and lognormal fields, we show that ‘multiscale’ PDFs measured from multiple levels smoothing offer ...

It is known that many real signals, such as speech are non-stationary processes express theirfeature through changes in parameters over time. By observing shorter time intervals, the property ofstationarity can be notice. This characteristic enables application of techniques for adaptation to local signalcharacteristics signal processing algorithms. Many these algorithms described by standards,...

The uniformly minimum variance unbiased (UMVU), maximum likelihood, percentile (PC), least squares (LS) and weighted least squares (WLS) estimators of the probability density function (pdf) and cumulative distribution function are derived for the generalized Rayleigh distribution. This model can be used quite effectively in modelling strength data and also modeling general lifetime data. It has...

although there exist advanced models which predict beach profile for natural beaches, the behavior of the beaches in front of seawalls still suffers from the lack of appropriate theoretical models and sufficient measured data. in this paper, following the results obtained from the measurements, a beach profile evolution model is developed, using the measured probability distribution of the near...

We consider a sequence of independent and identicaly distributed (iid) random variables with absolutely continuous distribution function F(x) and probability density function (pdf) f(x). Let Rnl be the largest observation after observing nth record and R(ns) be the smallest observation after observing the nth record. Then we say Wnr = Rnl− R(ns), n > 1, as the nth record range. We will c...

Tthe Zografos–Balakrishnan-log-logistic (ZBLL) distribution is a new distribution of three parameters that has been introduced by Ramos et el. [1], and They presented some properties of the new distribution such as its probability density function, The cumulative distribution function, The  moment generating function, its hazard (failure) rate function, quantiles and moments, Rényi and Shannon ...

This paper contributes a tutorial level discussion of some interesting properties of the recent Cauchy–Schwarz (CS) divergence measure between probability density functions. This measure brings together elements from several different machine learning fields, namely information theory, graph theory and Mercer kernel and spectral theory. These connections are revealed when estimating the CS dive...

In this paper, the nonlinear transient vibration of a cylindrical shallow panel under lateral white noise excitation is studied. The panel is in contact with a non aging viscoelastic medium. Since the external load is a time varying random wide band process, deterministic and conventional approaches cannot be used. Instead, the evolution of the probability density function of the response is in...

We discuss the properties of various estimators of the central position of the Cauchy distribution. The performance of these estimators is evaluated for a set of simulated experiments. Estimators based on the maximum and mean the posterior density function are empirically found to be well behaved when more than two measurements are available. On the contrary, because of the infinite variance of...