A uniform-Laplace mixture distribution

We introduce a new stochastic model incorporating a mixture of uniform and Laplace distributions. We present basic theoretical properties of this model and discuss related computational issues of parameter estimation via expectation-maximization computa-tional schemes. We check the performance of the estimation algorithm on synthetic data and provide a data example illustrating modeling potential of this novel methodology. A related model involving a mixture of uniform and exponential distributions is studied as well along the same lines.(c) 2023 Elsevier B.V. All rights reserved.