[PDF] Top 20 Distributions of Ratios: From Random Variables to Random Matrices

... But, although most problems related to the above ra- tios are usually well understood in univariate statistics, with the expressions of their densities often available in closed forms, there are still considerable gaps ... See full document

... The distributions of products and ratios of random variables are of interest in many areas of the ...exact distributions of the product | XY | and the ratio | X/Y | are derived when X ... See full document

... of distributions, particularly with regard to sums, differences, products and quotients have been performed in the past and limited results have been applied to the calculation of distributions of ... See full document

... acceptable random variables includes in a trivial way collections of inde- pendent random ...acceptable random variables exhibit a form of negative ...ciated random ... See full document

... Weighted Sums, Strong Law of Large Numbers, Almost Se Convergence, Generzed Gaussian Random Variables, Random Elements in Banach Space, Schauder Basis.. AMS MOS SUBJECT CLASSIFICATION 19[r] ... See full document

... Principal component analysis (PCA) is one of the most important techniques in high-dimensional data analysis for visualization, feature extraction, and dimension reduction. It has a wide range of applications in ... See full document

... p random symmetric matrices when the sample data is assumed to be from a specific ...a random matrix Y is the same as that of QY Q T for any orthogonal matrix ...include distributions ... See full document

... so that we have a much easier procedure for classifying the g-inverses of I – P. Knowledge of the parameters α , β , γ can provide useful information in determining the stationary distribution and moments of the first ... See full document

... Floquet matrices of the type (62), defined by a whole set of values for the various control parameters, is faithful to the prediction based on the circular ensemble of random matrices of the same ... See full document

... value distributions that did not fall into the Beta family (such as f y ( ) = nt n − 1 for the maximum of n ...0,1 variables). A wide variety of non-Beta-based distributions may be found in ...value ... See full document

... With the rapid development of transportation technology, public passenger traffic system construction investment is getting more and more expensive. Determining the development trend and make the optimal allocation of ... See full document

... Given random variables X and Y , we define X g Y (called the join of X and Y ) to be an informationally poorest (“smallest” in the sense of the partial order ) random variable such that X X g Y and Y ... See full document

... finite random variable sequence X X 1 , 2 ,  , X n is ...distributed random variable sequence is the simplest exchangeable random variable ...distributed random variable sequence to the ... See full document

... degenerate random variables, namely the degenerate binomial and degenerate Poisson random ...binomial random variables with parameter n, p in (11) and deduced their expectations in ... See full document

... In Fig. 5, we depict the results on three n = 256 × 256 images (shown in Fig. 6) represented in the DCT basis (DCT is performed on 8 × 8 blocks). Specifically, we show original and estimated sparsity (the y-axis ... See full document

... the distributions of random variables viz (i) total number of words, (ii) total number of sentences, (iii) mean number of words per sentence and (iv) range of the size of sentences of different ... See full document

... known distributions of intrapulmonary ventilation-perfusion ratios from inert gas ...recover distributions containing up to three modes accurately and with greater efficiency than with other ... See full document

... ordered random variables and of functions of these variables appears in many statistical applications and are widely used in statistical modeling and inference based on some suitable functions of the ... See full document

... of random sums. By random sum we mean sum of random number of independent and identically distributed random ...compound distributions, one of most popular is approximation with shifted ... See full document

... The reconstructed PSNR(peak signal to noise ratio) values, SSIM(structural similarity index measurement) values, CR(compression ratio) values and reconstruction time were used to compare the simulation results. Figures ... See full document