Multivariate statistical process control deserves particular attention in the recent scenario. Though, Hotelling control chart is quite popular and widely used technique in this field but its performance is deteriorated when the underlying distribution of the quality characteristics is not following multivariate normal distribution. Hence the need of developing a non-parametric multivariate con...

Erhardt and Czado (2008) suggest an approximative method for sampling highdimensional count random variables with a specified Pearson correlation. They utilize Gaussian copulae for the construction of multivariate discrete distributions. A major task is to determine the appropriate copula parameters for the achievement of a specified target correlation. Erhardt and Czado (2008) develop an optim...

Harter’s 2-Poisson model of Information Retrieval is a univariate model of the raw term frequencies, that does not condition the probabilities on document length [2]. A bivariate stochastic model is thus introduced to extend Harter’s 2-Poisson model, by conditioning the term frequencies of the document to the document length. We assume Harter’s hypothesis: the higher the probability f(X = x|L =...

We derive bivariate exponential distributions using independent auxiliary random variables. We develop separate models for positive and negative correlations between the exponentially distributed variates. To obtain a positive correlation, we define a linear relation between the variates X and Y of the form Y = aX +Z where a is a positive constant and Z is independent of X. To obtain exponentia...

Shared frailty models are often used to model heterogeneity in survival analysis. There are certain assumptions about the baseline distribution and distribution of frailty. In this paper, we consider compound Poisson distribution as frailty distribution and three different baseline distributions namely, Weibull, generalized exponential and exponential power distribution. With these three baseli...