IDEAS home Printed from https://ideas.repec.org/a/vrs/stintr/v22y2021i4p77-100n6.html
   My bibliography  Save this article

A new extension of Odd Half-Cauchy Family of Distributions: properties and applications with regression modeling

Author

Listed:
  • Chakraburty Subrata

    (Department of Statistics, Dibrugarh University, Dibrugarh, - 786004, India .)

  • Alizadeh Morad

    (Department of Statistics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, 75169, Iran .)

  • Handique Laba

    (Department of Mathematics and Statistics, Golaghat Commerce College, Dibrugarh University, India .)

  • Altun Emrah

    (Department of Mathematics, Bartin University, Bartin, 74100, Turkey .)

  • Hamedani G. G.

    (Department of Mathematical, Statistical Sciences Marquette University, USA, United States .)

Abstract

The paper proposes a new family of continuous distributions called the extended odd half Cauchy-G. It is based on the T–X construction of Alzaatreh et al. (2013) by considering half Cauchy distribution for T and the exponentiated G(x;ξ) as the distribution of X. Several particular cases are outlined and a number of important statistical characteristics of this family are investigated. Parameter estimation via several methods, including maximum likelihood, is discussed and followed up with simulation experiments aiming to asses their performances. Real life applications of modeling two data sets are presented to demonstrate the advantage of the proposed family of distributions over selected existing ones. Finally, a new regression model is proposed and its application in modeling data in the presence of covariates is presented.

Suggested Citation

  • Chakraburty Subrata & Alizadeh Morad & Handique Laba & Altun Emrah & Hamedani G. G., 2021. "A new extension of Odd Half-Cauchy Family of Distributions: properties and applications with regression modeling," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 77-100, December.
    • Handle: RePEc:vrs:stintr:v:22:y:2021:i:4:p:77-100:n:6
    DOI: 10.21307/stattrans-2021-039
    as

    Download full text from publisher

    File URL: https://doi.org/10.21307/stattrans-2021-039
    Download Restriction: no
    File URL: https://libkey.io/10.21307/stattrans-2021-039?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Paranaíba, Patrícia F. & Ortega, Edwin M.M. & Cordeiro, Gauss M. & Pescim, Rodrigo R., 2011. "The beta Burr XII distribution with application to lifetime data," Computational Statistics & Data Analysis, Elsevier, vol. 55(2), pages 1118-1136, February.
    2. D. S. Shibu & M. R. Irshad, 2016. "Extended New Generalized Lindley Distribution," Statistica, Department of Statistics, University of Bologna, vol. 76(1), pages 41-56.
    3. Ayman Alzaatreh & Carl Lee & Felix Famoye, 2013. "A new method for generating families of continuous distributions," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 63-79, June.
    4. David Hinkley, 1977. "On Quick Choice of Power Transformation," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(1), pages 67-69, March.
    5. Gauss M. Cordeiro & Morad Alizadeh & Thiago G. Ramires & Edwin M. M. Ortega, 2017. "The generalized odd half-Cauchy family of distributions: Properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(11), pages 5685-5705, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Subrata Chakraburty & Morad Alizadeh & Laba Handique & Emrah Altun & G. G. Hamedani, 2021. "A new extension of Odd Half-Cauchy Family of Distributions: properties and applications with regression modeling," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 77-100, December.
    2. Ramadan A. ZeinEldin & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy, 2019. "Statistical Properties and Different Methods of Estimation for Type I Half Logistic Inverted Kumaraswamy Distribution," Mathematics, MDPI, vol. 7(10), pages 1-24, October.
    3. Sandeep Kumar Maurya & Saralees Nadarajah, 2021. "Poisson Generated Family of Distributions: A Review," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 484-540, November.
    4. Renata Rojas Guerra & Fernando A. Peña-Ramírez & Gauss M. Cordeiro, 2023. "The Logistic Burr XII Distribution: Properties and Applications to Income Data," Stats, MDPI, vol. 6(4), pages 1-20, November.
    5. Shama, M.S. & Dey, Sanku & Altun, Emrah & Afify, Ahmed Z., 2022. "The Gamma–Gompertz distribution: Theory and applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 689-712.
    6. Lucas D. Ribeiro Reis & Gauss M. Cordeiro & Maria do Carmo S. Lima, 2022. "The Stacy-G Class: A New Family of Distributions with Regression Modeling and Applications to Survival Real Data," Stats, MDPI, vol. 5(1), pages 1-43, March.
    7. Boikanyo Makubate & Fastel Chipepa & Broderick Oluyede & Peter O. Peter, 2021. "The Marshall-Olkin Half Logistic-G Family of Distributions With Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(2), pages 120-120, March.
    8. Mahmoud Aldeni & Carl Lee & Felix Famoye, 2017. "Families of distributions arising from the quantile of generalized lambda distribution," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-18, December.
    9. A. A. Ogunde & S. T. Fayose & B. Ajayi & D. O. Omosigho, 2020. "Properties, Inference and Applications of Alpha Power Extended Inverted Weibull Distribution," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 9(6), pages 1-90, November.
    10. Sajid Hussain & Mahmood Ul Hassan & Muhammad Sajid Rashid & Rashid Ahmed, 2023. "The Exponentiated Power Alpha Index Generalized Family of Distributions: Properties and Applications," Mathematics, MDPI, vol. 11(4), pages 1-19, February.
    11. Abdulhakim A. Al-Babtain & Ibrahim Elbatal & Christophe Chesneau & Farrukh Jamal, 2020. "Box-Cox Gamma-G Family of Distributions: Theory and Applications," Mathematics, MDPI, vol. 8(10), pages 1-24, October.
    12. Showkat Ahmad Lone & Tabassum Naz Sindhu & Marwa K. H. Hassan & Tahani A. Abushal & Sadia Anwar & Anum Shafiq, 2023. "Theoretical Structure and Applications of a Newly Enhanced Gumbel Type II Model," Mathematics, MDPI, vol. 11(8), pages 1-18, April.
    13. Jiong Liu & R. A. Serota, 2023. "Rethinking Generalized Beta family of distributions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(2), pages 1-14, February.
    14. Ammara Tanveer & Muhammad Azam & Muhammad Aslam & Muhammad Shujaat Navaz, 2020. "Attribute np control charts using resampling systems for monitoring non-conforming items under exponentiated half-logistic distribution," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(2), pages 115-143.
    15. Amal S. Hassan & Said G. Nassr, 2019. "Power Lindley-G Family of Distributions," Annals of Data Science, Springer, vol. 6(2), pages 189-210, June.
    16. Mohamed S. Eliwa & Muhammad H. Tahir & Muhammad A. Hussain & Bader Almohaimeed & Afrah Al-Bossly & Mahmoud El-Morshedy, 2023. "Univariate Probability-G Classes for Scattered Samples under Different Forms of Hazard: Continuous and Discrete Version with Their Inferences Tests," Mathematics, MDPI, vol. 11(13), pages 1-24, June.
    17. Adolfo Quiroz & Miguel Nakamura & Francisco Pérez, 1996. "Estimation of a multivariate Box-Cox transformation to elliptical symmetry via the empirical characteristic function," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(4), pages 687-709, December.
    18. Lucas David Ribeiro-Reis, 2023. "The Log-Logistic Regression Model Under Censoring Scheme," Methodology and Computing in Applied Probability, Springer, vol. 25(2), pages 1-12, June.
    19. Hesham Reyad & Mustafa Ç. Korkmaz & Ahmed Z. Afify & G. G. Hamedani & Soha Othman, 2021. "The Fréchet Topp Leone-G Family of Distributions: Properties, Characterizations and Applications," Annals of Data Science, Springer, vol. 8(2), pages 345-366, June.
    20. Ahmad Alzaghal & Duha Hamed, 2019. "New Families of Generalized Lomax Distributions: Properties and Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(6), pages 1-51, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:vrs:stintr:v:22:y:2021:i:4:p:77-100:n:6. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Golla (email available below). General contact details of provider: https://www.sciendo.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.