Cognitive radio network is one of the prime solutions of band width crises problem. To resolve band width crises firstly we have to sense primary user (PU) licensed signal. To sense PU signal there are various sensing techniques which have been proposed by researchers, but each of them are having some limitations. In this paper we present a two stage detector for spectrum sensing (SS) in cognit...

The existence of multiplicative noise in synthetic aperture radar (SAR) images makes SAR segmentation by fuzzy c-means (FCM) a challenging task. To cope with speckle noise, we first propose an unsupervised FCM embedding log-transformed Bayesian non-local spatial information (LBNL_FCM). This is measured modified similarity metric which derived applying the distribution to theory. After, construc...

The phenomenon of separation or monotone likelihood is observed in the fitting process of a logistic model if the likelihood converges while at least one parameter estimate diverges to +/- infinity. Separation primarily occurs in small samples with several unbalanced and highly predictive risk factors. A procedure by Firth originally developed to reduce the bias of maximum likelihood estimates ...

Although the random sum distribution has been well-studied in probability theory, inference for the mean of such distribution is very limited in the literature. In this paper, two approaches are proposed to obtain inference for the mean of the Poisson-Exponential distribution. Both proposed approaches require the log-likelihood function of the Poisson-Exponential distribution, but the exact for...

In this paper, we considered the half logistic model and derived a probability density function that generalized it. The cumulative distribution function, the $n^{th}$ moment, the median, the mode and the 100$k$-percentage points of the generalized distribution were established. Estimation of the parameters of the distribution through maximum likelihood method was accomplished with the aid of c...

In this paper, we present an application of student’s t-test to measure the similarity between two speaker models. The measure is evaluated by comparing with other distance metrics: the Generalized Likelihood Ratio, the Cross Likelihood Ratio and the Normalized Cross Likelihood Ratio in speaker detection task. We also propose an objective criterion for speaker clustering. The criterion deduces ...

Likelihood ratio tests are used in a range of detection-estimation problems, but normally cannot be extended to cases where training data volume T is smaller than the dimension M of the observations. We propose a non-degenerate normalized LR test that can be used for detection-estimation in such under-sampled training conditions. The LR is formed based on non-degenerate band extension of the or...

A performance analysis of likelihood ratio test (LRT)-based and generalized likelihood ratio test (GLRT)based array receivers for the detection of a known real-valued signal corrupted by a potentially noncircular interference is considered in this paper. The distribution of the decision statistics associated with the LRT and GLRT is studied. This allows us to give exact closed-form expressions ...