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