Finding the “best-fitting” circle to describe a set of points in two dimensions is discussed in terms of maximum likelihood estimation. Several combinations of distributions are proposed to describe the stochastic nature of points in the plane, as the points are considered to have a common,...

Non-homogenous Poisson process, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$\{N(t), t 0\}$$</EquationSource> </InlineEquation> under time-truncated sampling scheme is often used in practice. <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$E[S_{N(T)+1}$$</EquationSource> </InlineEquation>], the expected time of arrival of the first event after a truncated time <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$T$$</EquationSource> </InlineEquation>, is expressed as a function of intensity. A non-informative prior as well as...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>

Soltani and Shirvani (Comput Stat 25:155–161, <CitationRef CitationID="CR10">2010</CitationRef>) proposed a scheme for simulating truncated stable random variables. That involves solving a nonlinear transformation in each realization. Here, we propose alternative schemes to generate truncated stable random variables. Our schemes are more...</citationref>

Let <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$(X_{i:n},Y_{[i:n]})$$</EquationSource> </InlineEquation> be the vector of the <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$i$$</EquationSource> </InlineEquation>th <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation>-order statistic and its concomitant observed in a random sample of size <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$$n$$</EquationSource> </InlineEquation> where the marginal distribution of <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation> is absolutely continuous. We describe some general algorithms for simulation of complete and Type II...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>

The focus of this paper is to propose an approach to construct histogram values for the principal components of interval-valued observations. Le-Rademacher and Billard (J Comput Graph Stat 21:413–432, <CitationRef CitationID="CR24">2012</CitationRef>) show that for a principal component analysis on interval-valued observations, the...</citationref>

Doubly truncated data appear in a number of applications, including astronomy and survival analysis. For double-truncated data, the lifetime T is observable only when U ≤ T ≤ V, where U and V are the left-truncated and right-truncated time, respectively. In some situation, the lifetime T...

There are many well-known document classification/clustering algorithms. In this paper, compression-based distances between documents are focused on, in particular, the normalized compression distance (NCD). The NCD is a popular and powerful metric between strings. A new distance <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$D_\alpha $$</EquationSource> </InlineEquation>...</equationsource></inlineequation>

In this paper the authors show how through the use of the characteristic function of the negative logarithm of the likelihood ratio test (l.r.t.) statistic to test circular symmetry it is possible to obtain highly manageable expressions for the exact distribution of such statistic, when the...

A general class of probability distributions is proposed and its properties examined. The proposed family contains distributions of a wide variety of shapes, such as U shaped, uniform and long-tailed distributions, as well as distributions with supports that have finite limits at one or both...

E-learning plays an important role in education as it supports online teaching via computer networks and provides educational services by utilising information technologies. This paper presents a case study describing the development of an Arabic language e-learning course in statistics. Under...