(R2070) Poisson-Exponentiated Weibull Distribution: Properties, Applications and Extension

In this article, we introduce a new member of the Poisson-X family namely, the Poisson-exponentiated Weibull distribution. The statistical as well as the distributional properties of the new distribution are studied, and the performance of the maximum likelihood method of estimation is verified by a simulation study. The flexibility of the distribution is illustrated by a real data set. We develop and study a reliability test plan for the acceptance or rejection of a lot of products submitted for inspection when their lifetimes follow the new distribution. A real data example is also given to illustrate the feasibility of the sampling plan developed. Later, we introduce a bivariate analogue of the Poisson-exponentiated Weibull distribution called the Farlie-Gumbel-Morgenstern bivariate Poisson-exponentiated Weibull distribution and consider the concomitants of order statistics that arise from this bivariate distribution. The distribution theory of the concomitants of order statistics is also developed

(R2027) A New Class of Pareto Distribution: Estimation and its Applications

The classical Pareto distribution is a positively skewed and right heavy-tailed lifetime distribution having a lot many applications in various fields of science and social science. In this work, via logarithmic trans-formed method, a new three parameter lifetime distribution, an extension of classical Pareto distribution is generated. The different structural properties of the new distribution are studied. The model parameters are estimated by the method of maximum likelihood and Bayesian procedure. When all the three parameters of the distribution are unknown, the Bayes estimators cannot be obtained in a closed form and hence, the Lindley’s approximation under squared error loss function is used to compute the Bayes estimators. A Monte Carlo simulation study is also conducted to compare the performance of these estimators using mean square error. The application of the new distribution for modelling earthquake insurance and reliability data are illustrated using two real data sets

A New Discrete Raleigh Distribution and its Application in Immunogold Assay Data

Recently, discretization of continuous distribution was enchanted by many researchers especially in the field of reliability engineering and life testing. This is because the existing models are unsuited for many practical situations. For discretizing continuous distributions, various methods are available in literature. Among them a newly developed method is the two-stage composite discretization method which includes three different methodologies. Using these methodologies, we propose some new discretized distributions obtained through the discretization of Rayleigh distribution. We compare the hazard rate functions of Rayleigh, Discrete Rayleigh with the newly proposed discrete distributions. The flexibility of the model is illustrated using immunogold assay data

The Marshall-Olkin Weibull Truncated Negative Binomial Distribution and its Applications

The Weibull distribution is one of the widely known lifetime distribution that has been extensively used for modelling data in reliability and survival analysis. A generalization of both the Marshall-OlkinWeibull distribution and the Weibull truncated negative binomial distribution is introduced and studied in this article. Various distributional properties of the new distribution are derived. Estimation of model parameters using the method of maximum likelihood is discussed. Applications to a real data set is provided to show the flexibility and potentiality of the new distribution over other Weibull models. The first order autoregressive minification process with the new distribution as marginal is also developed. We hope that the new model will serve as a good alternative to other models available in the literature for modeling positive real data in several areas

Kumaraswamy Esscher Transformed Laplace Distribution: Properties, Application and Extensions: Kumaraswamy Esscher Transformed Laplace Distribution

In this article, we introduce a new generalized family of Esscher transformed Laplace distribution, namely the Kumaraswamy Esscher transformed Laplace distribution. We study the various properties of the distribution including the survival function, hazard rate function, cumulative hazard rate function and reverse hazard rate function. The parameters of the distribution are estimated using the maximum likelihood method of estimation. A real application of this distribution on breaking stress of carbon fibres is also considered. Further, we introduce and study the exponentiated and transmuted exponentiated Kumaraswamy Esscher transformed Laplace distributions

Osteo-cementum Producing Odontogenic Myxomas. A Literature Review of a Distinctive Variant

INTRODUCTION: Odontogenic myxoma (OM) is a benign neoplasm of mesenchymal origin with growth characteristics, clinical behaviour and radiographic presentation similar to those of ameloblastoma. It is an intraosseous neoplasm characterized by stellate and spindleshaped cells embedded in loose myxoid or mucoid extracellular matrix. Although sometimes bony islands that represent residual trabeculae are found throughout the lesion, the formation of osteocement-like calcified spherules within the tumour is an extremely rare phenomenon. REVIEW: We report a very rare case of an OM of the left maxilla exhibiting osteo-cementous metaplasia within the substance of the tumour and beyond the facial skeleton, in the nasopharynx. A review of all four similar cases previously reported in the literature is also presented. CONCLUSION: Whether or not this property to produce significant amounts of bone can be associated with a different biological behavior for this specific variant of OM remains to be proved with the study of more similar cases

Designing a dynamic platform for the next generation of multi-modal logistics

Abstract: The FOR-FREIGHT (Flexible, multi-mOdal and Robust FREIGHt Transport) project represents a pioneering initiative aimed at revolutionizing multimodal logistics by optimizing transport capacity and enhancing sustainability and efficiency. This paper delves into the project's overarching objectives, methodologies, and anticipated impacts. With a primary focus on developing innovative solutions seamlessly integrated into existing logistics systems, FOR-FREIGHT strives to diminish the average cost of freight transport. The project's unique approach encompasses a comprehensive, end-to-end optimization of multimodal logistics services, addressing challenges prevalent in airports, ports, inland terminals, and logistics nodes. Central to FOR-FREIGHT's success is the creation of a cloud-based platform, combining IoT, AI/ML, and Big Data Management, designed to streamline logistics processes and facilitate decision-making. The paper also emphasizes the integration of legacy systems, ensuring the project's applicability to real-world scenarios. Furthermore, FOR-FREIGHT envisions an open marketplace and standardized interfaces, fostering collaboration and interoperability across diverse stakeholders. As the project advances, it promises to not only redefine multimodal logistics practices but also contribute to the establishment of sustainable and efficient standards within the industry