In this paper, the Raindrop Size Distribution (DSD) modeling and analysis are presented. Drop sizes are classified into different rain types, namely: drizzle, widespread, shower and thunderstorm. The gamma and Lognormal distribution models are employed using the method of moments estimator, considering the third, fourth and sixth order moments. The results are compared with the existing raindro...

This work represents a continuation in the investigation of techniques to estimate the parameters for raindrop-size-distribution (DSD) functions. Although moment estimators are often used to estimate these parameters, our previous work (Smith and Kliche, 2005; Smith et al., 2005) showed that the method of moments produces biased results that can lead to misleading extrapolations, and that the r...

Raindrop size distributions are often assumed to follow a three-parameter gamma distribution. Since rain intensity retrieval from radar observations is an underdetermined problem, there is great interest in finding physical correlations between the parameters of the gamma distribution. One of the more common approaches is to measure naturally occurring drop size distributions (DSDs) using a dis...

Statistical analysis via Bayesian approach is a common practice applied to draw inference about unknown parameter(s) and reliability characteristics of the probability distribution. The article include shape parameter two-parameter Lomax An attempt has been made obtain Bayes estimators by using extension Jeffrey’s prior Gamma under Entropy loss function Precautionary function. Comparison mean s...

There has been considerable research conducted on the development of statistical models for predicting motor vehicle crashes on highway facilities. Over the last few years, there has been a significant increase in the application hierarchical Bayes methods for modeling motor vehicle crash data. Whether the inferences are estimated using classical or Bayesian methods, the most common probabilist...

In this paper, we discuss a new generalization of univariate skew-Cauchy distribution with two parameters, we denoted this by GSC(&lambda1, &lambda2), that it has more flexible than the skew-Cauchy distribution (denoted by SC(&lambda)), introduced by Behboodian et al. (2006). Furthermore, we establish some useful properties of this distribution and by two numerical example, show that GSC(&lambd...

We consider several limiting cases of the joint probability distribution for a random matrix ensemble with an additional interaction term controlled by exponent $\gamma$ (called $\gamma$-ensembles). The effective potential, which is essentially single-particle confining potential equivalent $\gamma=1$ Muttalib-Borodin ensemble), crucial quantity defined in solution to Riemann-Hilbert problem as...