ON WRAPPING OF NEW WEIBULL PARETO DISTRIBUTION

Abstract

In many scientific experiments the data have been observed exhibiting periodic or cyclic
behaviour. To deal with such data and to perform statistical analysis many Circular models were
developed from the existing linear distributions by adopting variety of techniques like wrapping, inverse stereographic projections, rising sun function etc. Also a good number of circular models
for linear life testing models were constructed using the technique of wrapping. In this article an
attempt is made to construct a circular model for the three-parameter Weibull–Pareto distribution
namely ‘New Weibull–Pareto Distribution’ using the method of wrapping. The Probability
density function, distribution function and characteristic function are derived for this Wrapped
New Weibull Pareto Distribution. The Trigonometric moments and through them some of the
important population characteristics for this wrapped New Weibull Pareto Distribution are
computed and tabled.