We describe bivariate cartograms, a technique specifically designed to allow for the simultaneous comparison of two geo-statistical variables. Traditional cartograms are designed to show only a single statistical variable, but in practice, it is often useful to show two variables (e.g., the total sales for two competing companies) simultaneously. We illustrate bivariate cartograms using Dorling...

A zero-inflated Poisson (ZIP) distribution is commonly used for modelling process data with single type of defect, and developing appropriate tools instituting statistical control manufacturing processes. However, in reality, such scenarios are very common where more than one defect can occur. For example, occurrences defects like solder short circuits (shorts) absence (skips) on printed circui...

A bivariate Markov process comprises a pair of random processes which are jointly Markov. One of the two processes in that pair is observable while the other plays the role of an underlying process. We are interested in three classes of bivariate Markov processes. In the first and major class of interest, the underlying and observable processes are continuous-time with finite alphabet; in the s...

The Poisson-Topp-Leone Burr type-X II distribution is studied mainly for illustrating its wide applicability under uncensored engineering and medical real-life datasets. datasets are checked analyzed the statistical modeling purpose. model compared with other nine types of extensions provided best results. For bivariate datasets, we presented some version useful theoretical Those versions inves...

Ranked Set Sampling (RSS) is a statistical method for data collection that leads to more efficient estimators than competitors based on Simple Random Sampling (SRS). We consider testing the correlation coefficient of bivariate normal distribution based on Bivariate RSS (BVRSS). Under one-sided and two-sided alternatives, we show that the new tests based on BVRSS are more powerful than the usua...

We introduce a scale invariance property for Poisson point processes and use this property to define a series representation for a correlated bivariate gamma process. This approach is quite general and can be used to define other types of multidimensional Lévy processes with given marginals. Some important special cases are bivariate G-processes, bivariate variance gamma processes and multivari...

We consider the problem of estimating the three parameters of the bivariate Poisson distribution. From the recursive expression for the probability mass function, which is linear in its parameters, we develop the quadratic distance estimator (QDE), which can be computed with an iteratively reweighted least-squares algorithm. The QDE is unbiased, easy to calculate and admits a simple expression ...