The aim of this paper is to discuss homogeneity testing of the exponential distribution. We introduce the exact likelihood ratio test of homogeneity in the subpopulation model, ELR, and the exact likelihood ratio test of homogeneity against the two-components subpopulation alternative, ELR2. The ELR test is asymptotically optimal in the Bahadur sense when the alternative consists of sampling fr...

The on-axis intensity distribution, or the Strehl ratio versus defocus, is described in a phase-space domain in terms of the Wigner distribution function. A coordinate transformation that is defined for a general annular aperture is employed to convert the pupil amplitude transmittance into a one-dimensional function. We show that the single display of the Wigner distribution function associate...

Celiac disease (CD) is currently considerably underdiagnosed, setting the need for developing tools to select patients with probability of CD, who warrant further testing. Red blood cell distribution width (RDW) has been shown in previous studies to be a sensitive predictor for CD, but it lacks specificity. Splenic hypotrophy is also noted frequently in celiac patients. Our aim was to evaluate ...

Testing Exponentiality Versus Pareto Distribution via Likelihood Ratio Tomasz J. Kozubowski a , Anna K. Panorska a , Fares Qeadan a , Alexander Gershunov b & Debra Rominger c a Department of Mathematics and Statistics, University of Nevada, Reno, Nevada, USA b Climate Research Division, Scripps Institution of Oceanography, San Diego, California, USA c Game Design, International Game Technology,...

Various characterizations of the distribution of the ratio of two independent Rayleigh random variables are presented. These characterizations are based, on a truncated moment; on hazard function; and on certain functions of order statistics.

a r t i c l e i n f o Mineral particles are used in many industrial applications as fillers, in coatings, as ad-and absorbers or in catalysis. In these manifold fields the particle size and shape control the final performance and properties of the minerals. Much has been published using different techniques to describe the aspect ratio of platy particles. This study describes a simple method to...

In this paper the dependence of wealth distribution and the velocity of money on the required reserve ratio is examined based on a random transfer model of money and computer simulations. A fractional reserve banking system is introduced to the model where money creation can be achieved by bank loans and the monetary aggregate is determined by the monetary base and the required reserve ratio. I...

bR crystal growth was modeled by a one-dimensional model. The growth begins from a single layer and proceeds by consecutive addition of new layers to each surface of the crystal alternatively (Figure 1). A new layer is added to the CP surface either by forming CP-EC or CP-CP contact, and to the EC surface by forming EC-CP or CP-CP contacts with fixed relative probabilities P1 and P2 (Figure 1)....

in this study, the spatial distribution of overwintered adults of sunn pest, eurygaster integriceps puton, was investigated by using dispersion parameters and indices, mathematical distribution, and regression techniques in rainfed wheat fields by sample size of 1 m2 in 2009 and 2010. the dispersion parameters including: mean-variance test and clumping parameter () showed that the overwintered ...