In this paper we introduce a new distribution, namely, the slashed half-normal distribution and it can be seen as an extension of the half-normal distribution. It is shown that the resulting distribution has more kurtosis than the ordinary half-normal distribution. Moments and some properties...

In this paper we propose an extension of the generalized half-normal distribution studied in Cooray and Ananda (Commun Stat 37:1323–1337, <CitationRef CitationID="CR9">2008</CitationRef>). This new distribution is defined by considering the quotient of two random variables, the one in the numerator being a generalized half normal...</citationref>

This paper considers the general application to symmetric circular densities of two forms of change of argument: one produces extended families of distributions which contain symmetric densities which are more flat-topped, as well as others which are more sharply peaked, than the originals, and...

In this paper we derive the large-sample asymptotic joint distribution of the statistics [InlineMediaObject not available: see fulltext.] used as fundamental measures of central location, concentration, skewness and kurtosis in the analysis of circular data. The importance of the distributional...