On the discrete weibull marshallolkin family of distributions: Properties, characterizations, and applications
Confidence interval; Discrete distributions; Estimation; Generalized family; MarshallOlkin family; Weibull distribution
In this article, we introduce a new flexible discrete family of distributions, which accommo-dates wide collection of monotone failure rates. A sub-model of geometric distribution or a discrete generalization of the exponential model is proposed as a special case of the derived family. Besides, we point out a comprehensive record of some of its mathematical properties. Two distinct estimation methods for parameters estimation and two different methods for constructing confidence intervals are explored for the proposed distribution. In addition, three extensive Monte Carlo simulations studies are conducted to assess the advantages between estimation methods. Finally, the utility of the new model is embellished by dint of two real datasets. 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Gillariose J.; Balogun O.S.; Almetwally E.M.; Khan Sherwani R.A.; Jamal F.; Joseph J.
https://doi.org/10.3390/axioms10040287 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85119042603&doi=10.3390%2faxioms10040287&partnerID=40&md5=dcbc289ab44d6dc2eda4b5aa22cbf7ed
Gillariose J., Department of Statistics, CHRIST (Deemed to Be University), Bangalore, 560029, India; Balogun O.S., School of Computing, University of Eastern Finland, Kuopio, 70211, Finland; Almetwally E.M., Department of Statistics, Delta University of Science and Technology, Belkas, 35631, Egypt; Khan Sherwani R.A., College of Statistical and Actuarial Sciences, University of the Punjab, Lahore, 54000, Pakistan; Jamal F., Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan; Joseph J., Department of Finance, KMML a Company under Government of Kerala, Sankaramangalam, Kollam, 691583, India