Most statistics students know that the sample correlation coefficient R is used to estimate the population correlation coefficient ρ. If the pair (X, Y) has a bivariate normal distribution, this would not cause any trouble. However, if the marginals are nonnormal, particularly if they have high skewness and kurtosis, the estimated value from a sample may be quite different from the population c...

Since Hansen first noted variations in the morphology of leprosy bacilli in 1895, many investigators have given attention to such morphologic variations as revealed by staIned preparations. After the advent of antileprosy drugs, many clinicians observed rapid decrease in the proportion of uniformly stained bacilli under therapy. In 1960 Ridley first proposed a "Granularity Index" based on three...

The Poisson distribution has been widely studied and used for modeling univariate count-valued data. Multivariate generalizations of the Poisson distribution that permit dependencies, however, have been far less popular. Yet, real-world high-dimensional count-valued data found in word counts, genomics, and crime statistics, for example, exhibit rich dependencies, and motivate the need for multi...

The Markov-Bernoulli geometric distribution is obtained when a generalization, as a Markov process, of the independent Bernoulli sequence of random variables is introduced by considering the success probability changes with respect to the Markov chain. The resulting model is called the MarkovBernoulli model and it has a wide variety of application fields. In this study, some characterizations a...

A unified treatment is presented here of compounding with the bivariate Poisson distribution. Exploiting the exponential nature of its probability generating function, it is shown that the pgf of the compound distribution is the moment generating function of the compounding random variable. This relationship leads to rather interesting general results. Particularly, the development of the condi...

The Poisson distribution is widely used to fit count data such as the number of nonconformities in a product unit. However, this distribution fails to fit the defect data in a high-quality manufacturing environment when over-dispersion occurs. In this paper, the generalized Poisson distribution is studied as an alternative distribution. The generalized Poisson distribution is flexible and capab...

Population structure determines sugarcane yield, of which canopy structure is a key component. To fully understand the relations between sugarcane yield and parameters of the canopy structure, 17 sugarcane varieties were investigated at five growth stages. The results indicated that there were significant differences between characterized parameters among sugarcane populations at different grow...

A simple and quick method of estimating the parameters of the Generalized Negative Binomial Distribution (GNBD) has been suggested. A Monte Carlo technique has been applied to study the unbiasedness and the efficiency of the estimates so obtained. Using this method of estimation the GNBD has been fitted to some observed data and the fits have been found quite satisfactory.

PURPOSE The present study was aimed to investigate the variation of soft palate morphology in different age and gender groups. The correlations of radiographic velar length (VL), velar width (VW), pharyngeal depth (PD), and Need's ratio with soft palate variants were also studied in the North Indian subpopulation. MATERIALS AND METHODS The study sample consisted of 300 subjects aged between 1...