Transmuted Ailamujia Distribution with Applications to Lifetime Observations
Asian Journal of Probability and Statistics · pp. 1–11 · Published 2 Jan 2023
10.9734/ajpas/2023/v21i1452Abstract
Background of the Study: Quest to extend existing probability distributions to allow for more flexibility in data modelling is never ending. Aims: This study extends the Ailamujia distribution using quadratic transmutation map to propose a new 2-paramter lifetime distribution. Methodology: Shapes of the density function and the hazard rate function of the new propositions are obtained. Some mathematical properties of the new distribution are also obtained. Results: Application of the distribution to four lifetime datasets reveals that the distribution competes favourably with other related distributions. Conclusion: The new distribution competes favourably with the existing distributions in data modelling.
References (22)
- 1 BETA-NORMAL DISTRIBUTION AND ITS APPLICATIONS [DOI]
- 2 Statistical Methods for Reliability Data [DOI]
- 3 A new family of generalized distributions [DOI]
- 4 Lindley distribution and its application [DOI]
- 5 Generalized Linear Models for Insurance Data [DOI]
- 6 The Exponentiated Generalized Class of Distributions [DOI]
- 7 A new method for generating distributions with an application to exponential distribution [DOI]
- 8 Discrimination Between the Log-Normal and the Weibull Distributions [DOI]
- 9 Compounding of distributions: a survey and new generalized classes [DOI]
- 10 The Marshall-Olkin length-biased exponential distribution and its applications [DOI]
- 11 On Weighted Ailamujia Distribution and Its Applications to Lifetime Data [DOI]
- 12 A new Size Biased Distribution with applications in Engineering and Medical Science [DOI]
- 13 A Novel Generator of Continuous Probability Distributions for the Asymmetric Left-skewed Bimodal Real-life Data with Properties and Copulas [DOI]
- 14 Choice Between Weibull and Lognormal Models: A Simulation Based Bayesian Study [DOI]
- 15 Bayesian Prediction of Future Observations from Inverse Weibull Distribution Based on Type-II Hybrid Censored Sample [DOI]
- 16 Transmuted Probability Distributions: A Review [DOI]
- 17 Exponentiated Ailamujia distribution with statistical inference and applications of medical data [DOI]
- 18 Theory and application of the power ailamujia distribution [DOI]
- 19 The Weibull Length Biased Exponential Distribution: Statistical Properties and Applications
- 20 Generalized inverse Lindley power series distributions: modeling and simulation [DOI]
- 21 R: A Language and Environment for Statistical Computing [DOI]
- 22 The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map [DOI]
Cited by 15
A.A. Ahmed, Eslam Abdelhakim Seyam, Ahmed R. El-Saeed · Scientific African · 2026
Murat Genç, Ömer Özbilen · Ordu Üniversitesi Bilim ve Teknoloji Dergisi · 2024
Doaa Basalamah, Bader Alruwaili · AIMS Mathematics · 2023
Jones Manu, Samuel Darkwah · International Journal of Statistical Distributions and Applications · 2024
Weenakorn Ieosanurak, Adisak Moumeesri · American Journal of Mathematical and Management Sciences · 2025
Hasan Hüseyin Gül · Karadeniz Fen Bilimleri Dergisi · 2024
Showing 6 of 15 known citations — external sources report more than can currently be individually listed.
Related research
- Application of Alpha Power Cubic Transmuted Dagum Distribution to Real-Life Data — shares topic coverage
- Estimating the Parameters of a Disease Model from Clinical Data — shares topic coverage
- Hydrogeophysical Delineation and Hydrogeochemical Characterization of the Aquifer Systems in Umuahia-South Area, Southern Nigeria — shares topic coverage
- Odd Lomax-Kumaraswamy Distribution: Its Properties and Applications — shares topic coverage
- Time Series Modelling of The Volume of Overland Timber Export in The Bolgatanga Municipality — shares topic coverage
Article metrics
Real usage data collected on this platform.
68
Page views
0
PDF downloads
31
Outbound clicks
15
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.