A new class of probability distributions via cosine and sine functions with applications

Christophe Chesneau, Hassan S. Bakouch, Tassaddaq Hussain
2018 Communications in statistics. Simulation and computation  
In this paper, we introduce a new class of (probability) distributions, based on a cosine-sine transformation, obtained by compounding a baseline distribution with cosine and sine functions. Some of its properties are explored. A special focus is given to a particular cosine-sine transformation using the exponential distribution as baseline. Estimations of parameters of a particular cosine-sine exponential distribution are performed via the maximum likelihood estimation method. A complete
more » ... tion study investigates the performances of these estimates. Applications are given for four real data sets, showing a better fit in comparison to some existing distributions based on some of goodness-of-fit tests.
doi:10.1080/03610918.2018.1440303 fatcat:rlj5e6ilhrbxpb4uytd55ujnay