The importance of the dispersion parameter in counts occurring in toxicology, biology, clinical medicine, epidemiology, and other similar studies is well known. A couple of procedures for the construction of confidence intervals (CIs) of the dispersion parameter have been investigated, but...

In many clinical trials and epidemiological studies, comparing the mean count response of an exposed group to a control group is often of interest. This type of data is often over-dispersed with respect to Poisson variation, and previous studies usually compared groups using confidence intervals...

Extra-dispersion (overdispersion or underdispersion) is a common phenomenon in practice when the variance of count data differs from that of a Poisson model. This can arise when the data come from different subpopulations or when the assumption of independence is violated. This paper develops a...

This paper considers multivariate extension of smooth estimator of the distribution and density function based on Bernstein polynomials studied in Babu et al. [2002. Application of Bernstein polynomials for smooth estimation of a distribution and density function. J. Statist. Plann. Inference...

The Fisherian prescription of reporting P-values as a summary of a result, as compared to the Neyman-Pearson system of acceptance or rejection of a null hypothesis, is more common in applied science. This popularity is largely due to the fact that the P-value provides a more complete, meaningful...

In this paper, the problem of testing the equality of two homoscedastic normal linear models with common regression parameters is considered. A locally most powerful test which is invariant with respect to the group of location and scale transformations of the observations is derived. The test...

This paper considers the problem of estimating the population total when the population size is unknown. A sampling design, in which units are selected with equal probability, are sequentially marked and then returned back until a fixed number of repetitions occur, has been considered. This...

The theory of Minimum Norm Quadratic Estimators for estimating variances and covariances is applied to show that some commonly used estimators of covariances in time series models are easily derived using the above principle. In applying the theory MINQE, it is observed that no unbiased...