T-Transmuted X Family of Distributions

@article{Moolath2018TTransmutedXF,
  title={T-Transmuted X Family of Distributions},
  author={Girish Babu Moolath and K. Jayakumar},
  journal={Statistica},
  year={2018},
  volume={77},
  pages={251-276}
}
Using the quadratic transmutation map (QRTM) approach of Shaw and Buckley (2007) and the T - X family method by Alzaatreh et al. (2013b), we have developed a new family of distributions called T -transmuted X family of distributions. Many of the existing family of distributions are sub models of this family. As a special case, exponential transmuted exponential (ETE) distribution is studied in detail. The application and flexibility of this new distribution is illustrated using two real data… 
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8 Citations

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Further Developments on the T-Transmuted X Family of Distributions
  • C. Ampadu
  • Mathematics
    Biostatistics and Biometrics Open Access Journal
  • 2018
This family of distributions is a generalization of the betagenerated family of distributions first proposed by Eugene et al. [5]. In particular, let ( ) r t be the PDF of the random variable [ ] , ,…
The Transmuted Odd Fréchet-G Family of Distributions: Theory and Applications
The last years, the odd Frechet-G family has been considered with success in various statistical applications. This notoriety can be explained by its simple and flexible exponential-odd structure…
The Cot-X Family of Distributions with Applications
  • C. Ampadu
  • Mathematics
    Annals of Biostatistics & Biometric Applications
  • 2019
Statistical distributions arising from trigonometric functions have populated the literature, and for example, see [1-4]. On the other hand, the T-X(W) family of distributions appeared in [5], and in…
A New Generalization of the Fréchet Distribution: Properties and Application
A new generalization of the Frechet distribution is introduced and studied. Its structural properties including the quantile function, random number generation, moments, moment generating function…
Generalized Rank Mapped Transmuted Distributions with Properties and Application: A Review
This work was carried out in collaboration among all authors. All authors contributed immensely to the development of the article in all stages of the article formation. Author I designed the study,…
The rT − X Family of Distributions induced by V: A New Method for Generating Continuous Distributions with Illustration to Cancer Patients Data
  • C. Ampadu
  • Computer Science
    Annals of Biostatistics & Biometric Applications
  • 2019
TLDR
A new technique to generate continuous distributions which is partially inspired by [1] and [2] is introduced.
Maximum Likelihood Estimation in an Alpha-Power
  • C. Ampadu
  • Mathematics
    Annals of Biostatistics & Biometric Applications
  • 2019
The rest of this paper is organized as follows. In Section 2 we introduce and illustrate the new family. In Section 3 we derive the quantile function of the APTA-F family of distributions. In Section…
An Alternate to the Unified Distribution with Application to Breast Cancer Data
  • Clementz Ba
  • Mathematics
    Open Access Journal of Biomedical Science
  • 2019
The Unified (θ) distribution appeared in [1], and in this short note we introduce a variant of this distribution. Further, a member of this family is shown to be significant in cancer modeling.

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