Optimal Control Problems of Systems Governed by Elliptic Operators of Infinite Order with Pointwise Control ConstrantsĪbstract: In this paper, we obtain the necessary and sufficient optimality conditions for elliptic control problem with pointwise control constraints generated by elliptic operators infinite order with finite dimensional and discussion of pointwise optimality conditions.Keywords: Lindley distribution, Lindley Poisson distribution, Lifetime data, Maximum likelihood estimation. Finally, we present applications of the model with a real data set to illustrate the usefulness of the proposed distribution. The maximum likelihood estimation technique is used to estimate the model parameters and a simulation study is conducted to investigate the performance of the maximum likelihood estimates. Entropy measures and the distribution of the order statistics are given. Some statistical properties of the proposed distribution including the shapes of the density, hazard rate functions, moments, Bonferroni and Lorenz curves are explored. This new distribution represents a more flexible model for the lifetime data. OluyedeĪbstract: The Extended Lindley Poisson (ELP) distribution which is an extension of the extended Lindley distribution is introduced and its properties are explored. Mavis Pararai, Gayan Warahena-Liyanage, Broderick O. An Extended Lindley Poisson Distribution with Applications.Advances in Ecological and Environmental Research.
Journal of Mathematics and Statistical Science.
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