The modeling of fertility patterns is an essential method researchers use to understand world-wide population patterns. Various types of fertility models have been reported in the literature to capture the patterns specific to developed countries. While much effort has been put into reducing...

We consider Brownian motion in the space of fields and show that such a random field interacting with threshold type detectors produces clicks at random moments of time. The corresponding probability distribution can be approximately described by the same mathematical formalism as is used in...

A new discrete distribution depending on two parameters <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$\alpha -1$$</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$\sigma 0$$</EquationSource> </InlineEquation> is obtained by discretizing the generalized normal distribution proposed in García et al. (Comput Stat and Data Anal 54:2021–2034, <CitationRef CitationID="CR6">2010</CitationRef>), which was derived from the normal distribution by using the...</citationref></equationsource></inlineequation></equationsource></inlineequation>

It is found in Lee (2000) and Rabe-Hesketh et al. (2005) that the typical numerical-integral procedure suggested by Butler and Moffitt (1982) for the random effects probit model becomes biased when the correlation coefficient within each unit is relatively large. This could possibly explain why...