The empirical Bayes estimators of treatment effects in a factorial experiment were derived and their asymptotic properties were explored. It was shown that they were asymptotically optimal and the estimator of the scale parameter had a limiting gamma distribution while the estimators of the factor effects had a limiting multivariate normal distribution. A Bootstrap analysis was performed to ill...

Values up to gamma=7 x 10(6)/(W km) for the nonlinear parameter are feasible if silicon-on-insulator based strip and slot waveguides are properly designed. This is more than three orders of magnitude larger than for state-of-the-art highly nonlinear fibers, and it enables ultrafast all-optical signal processing with nonresonant compact devices. At lambda=1.55 microm we provide universal design ...

In this paper, a Bayesian approach is proposed for shift point detection in an inverse Gaussian distribution. In this study, the mean parameter of inverse Gaussian distribution is assumed to be constant and shift points in shape parameter is considered. First the posterior distribution of shape parameter is obtained. Then the Bayes estimators are derived under a class of priors and using variou...

The algorithm of Minh as in [Minh (1988)] was used to generate variates having a gamma distribution with shape parameter a>1 only. In this paper, a method, which is the improvement of the algorithm of Minh is introduced for the generation of independent random variables from a gamma distribution with all values of shape parameter and is compared with the method of Marsaglia and Tsang. By means ...

Exponentiated models have been widely used in modeling various types of data such as survival and insurance claims data. However, the exponentiated composite distribution not explored yet. In this paper, we introduce an improvement one-parameter Inverse Gamma-Pareto model by exponentiating random variable associated with function. The goodness-of-fit was assessed using three different sets. two...

Background: Prompt gamma neutron activation analysis (PGNAA) is known as a non-invasive technique capable of measuring elemental concentration in voluminous samples in a short period of time. Also it is a valuable diagnostic tool for total body elemental measurements. 252Cf and 241Am-Be sources which are usually used in this method, generate not only neutrons, but also emit high-energy and unwa...

Up until a few years ago, the dispersion parameter of Poisson-gamma models has been assumed to be invariant of the characteristics of the observations under study, but recent research in highway safety has shown that the dispersion parameter can potentially be dependent upon the covariates of the model. To account for this dependence, some researchers have reported that the dispersion parameter...

OF THE THESIS INFERENCE ABOUT RELIABILITY PARAMETER WITH UNDERLYING GAMMA AND EXPONENTIAL DISTRIBUTION by Zeyi Wang Florida International University, 2011 Miami, Florida Professor Jie Mi, Major Professor The statistical inference about the reliability parameter R involving independent gamma stress and exponential strength is considered. Assuming the shape parameter of gamma is a known arbitrary...

In this research, second order linear two-point boundary value problems are treated using new method based on hybrid cubic B-spline. The values of the free parameter,Gamma , chosen via optimization. parameter plays an important role in giving accurate results. Optimization is carried out. This tested four examples and a comparison with B-spline, trigonometric B-spline extended methods has been ...