Statistical prediction plays an important role in many decision processes, such as university budgeting (depending on the number of students who will enroll), capital remaining lifetime a fleet systems), needed amount cash reserves for warranty expenses returns), and whether product recall is potentially life-threatening failures). In statistical inference, likelihood ratios have long history u...

in this paper, an interference management for multi-beam satellite network to enhance spectral efficiency is studied. first, a two-satellite for future generation satellite network using cognitive radio technology is provided.this network is composed of a secondary satellite and aprimary satellite where the primary satellite system does not suffer from severe destructive interferences coming fr...

The initial size of a completely susceptible population in a group of individuals plays a key role in drawing inferences for epidemic models. However, this can be difficult to obtain in practice because, in any population, there might be individuals who may not transmit the disease during the epidemic. This short note describes how to improve the maximum likelihood estimators of the infection r...

In the previous lecture the detection of deterministic signals was dealt with. In this lecture, the focus will be on deciding between signals that are known except for a set of unknown random parameters. For this situation the hypothesis testing problem can be conveniently written as, (1) where Θ is an unknown parameter taking values from a parameter set Λ. Density of Θ is ω j under the hypothe...

Three methods in common use for finding confidence regions for the parameters of a nonlinear regression model are studied. These are the lack of fit method, the linearization method, and the maximum likelihood method. The objective is to determine which of the three methods is the preferred choice in applications. The conclusion is that the linearization method has the best structural character...

The assignment of personal probabilities to form a forensic practitioner's likelihood ratio is a mental operation subject to all the frailties of human memory, perception and judgment. While we agree that beliefs expressed as coherent probabilities are neither 'right' nor 'wrong' we argue that debate over this fact obscures both the requirement for and consideration of the 'helpfulness' of prac...

It is often desirable to separate voxels that contain signal from tissue along with measurement noise from those that contain purely measurement noise. Generally, this separation called thresholding utilizes only the magnitude portion of the images. Recently, methods have been developed that utilize both the magnitude and phase for thresholding voxels. This manuscript is an extension previous w...

The noncentral chi-square approximation of the distribution of the likelihood ratio (LR) test statistic is a critical part of the methodology in structural equation modeling. Recently, it was argued by some authors that in certain situations normal distributions may give a better approximation of the distribution of the LR test statistic. The main goal of this article is to evaluate the validit...

DNA barcoding as an approach for species identification is rapidly increasing in popularity. However, it remains unclear which statistical procedures should accompany the technique to provide a measure of uncertainty. Here we describe a likelihood ratio test which can be used to test if a sampled sequence is a member of an a priori specified species. We investigate the performance of the test u...