The present document describes an approach for deriving a model of the power spectral density (PSD) for the fluctuating pressure in a turbulent flow. Ultimately, a model for compressible, transitional and fully turbulent pressure fluctuation loading to calculate a random vibration pressure field on an RB/RV during reentry conditions is sought. Both a power spectral density (PSD) as well as a pr...

Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 General Probability Rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Conditional Probability . . . . . . . . . . . . . . . . . . . . . . . ...

This paper presents a new approach to the real time single and multiple target detection and tracking problems with measurement input data. The new approach addresses the measurement uncertainty-of-origin issue by capturing all measurement input data information in the Bayesian conditional probability density function (PDF), used in the recursive propagation of the posterior target detection an...

We investigate the historical volatility of the 100 most capitalized stocks traded in US equity markets. An empirical probability density function (pdf) of volatility is obtained and compared with the theoretical predictions of a lognormal model and of the Hull and White model. The lognormal model well describes the pdf in the region of low values of volatility whereas the Hull and White model ...

A theory of the probability distribution function (PDF) tails of the blob density in plasma edge turbulence is provided. A simplified model of the fast convective radial transport is used. The theoretically predicted PDF tails corroborate earlier measurements of edge transport, further confirming the strongly non-Gaussian feature of edge transport. It is found that increasing the cross sectiona...

In this paper, an exact new closed formula for the multivariate α-μ joint probability density function (PDF) is derived allowing for an arbitrary correlation matrix. In addition, the bit error rate (BER) and the outage probability for the selection combining (SC) technique in a correlated α-μ fading channel is obtained.

-In this paper, the k-μ random variable will be considered and closed form expressions for probability density function (PDF), cumulative distribution function (CDF) and moments for this distribution will be derived. Also, product, ratio, maximum and minimum of two k-μ random variables will be studied and PDFs of these functions calculated in the closed forms. Then, obtained statistical functio...

In this paper, a recently developed Bayesian method called ensemble learning is applied to independent component analysis (ICA). Ensemble learning is a computationally eecient approximation for exact Bayesian analysis. In general, the posterior probability density function (pdf) is a complex high dimensional function whose exact treatment is diicult. In ensemble learning, the posterior pdf is a...

in this paper, a new framework has been developed for compatibility analysis of predictive climatic variables distribution with reference evapotranspiration (eto) in probabilistic analysis of water requirement. initially, measured monthly meteorological data of four cities of iran including kerman, shiraz, ramsar and babolsar synoptic weather station recorded from 1961 to 2003 were considered b...