Abstract
Here, we present a new model called the Doubly Truncated Type II Exponentiated Generalized Gamma (DTIIEGG). Some properties of this distribution have been derived such as cumulative and probability distribution functions, moments, Shannon entropy function and Relative entropy function. Also, we provided stress-strength reliability of the proposed distribution.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Gradshteyn, S., & Ryzhik, M. (2000). Table of integrals, series, and products (6th ed.). Academic Press.
Abid, S., & Kadhim, F. (2021). Doubly truncated exponentiated inverted gamma distribution. Journal of Physics: Conference Series, 1999(1), 012098.
Abid, S., & Jani, H. (2022). Two doubly truncated generalized distributions: Some properties. AIP Conference Proceedings, 2022(2398), 060033.
Al-Babtain, A., Merovci, F., & Elbatal, I. (2015). The McDonald exponentiated gamma distribution and its statistical properties. SpringerPlus, vol. 4, no. 2. https://doi.org/10.1186/2193-1801-4-2
Feroze, N., Elbatal, I. (2016). Beta exponentiated gamma distribution: some properties and estimation. Pak.j.stat.oper.res., vol. XII, no.1, pp. 141–154.
Gupta, C., Gupta, L., & Gupta, D. (1998). Modeling failure time data by Lehman alternatives. Cammunications in Statistics Theory and Methods, 27, 887–904.
Kullback, S., & Leibler, R. (1951). On information and sufficiency. Annals of Mathematical Statistics 1, 79–86. https://doi.org/10.1214/aoms/1177729694. MR 39968.
Rasekhi, M. (2018). A study on methods for estimating the PDF and the CDF in the exponentiated gamma distribution. Communications in Statistics—Simulation and Computation. https://doi.org/10.1080/03610918.2018.1508707
Shannon, E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27, 379–432.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Abid, S.H., Altawil, J.A. (2023). Doubly Truncated Type II Exponentiated Generalized Gamma Distribution. In: Peng, SL., Jhanjhi, N.Z., Pal, S., Amsaad, F. (eds) Proceedings of 3rd International Conference on Mathematical Modeling and Computational Science. ICMMCS 2023. Advances in Intelligent Systems and Computing, vol 1450. Springer, Singapore. https://doi.org/10.1007/978-981-99-3611-3_19
Download citation
DOI: https://doi.org/10.1007/978-981-99-3611-3_19
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-99-3610-6
Online ISBN: 978-981-99-3611-3
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)