IDEAS home Printed from https://ideas.repec.org/a/vrs/stintr/v19y2018i1p61-74n9.html
   My bibliography  Save this article

A New And Unified Approach In Generalizing The Lindley’S Distribution With Applications

Author

Listed:
  • Bouchahed Lahsen

    (LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, ALGERIA)

  • Zeghdoudi Halim

    (LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, ALGERIA)

Abstract

This paper proposes a new family of continuous distributions with one extra shape parameter called the generalized Zeghdoudi distributions (GZD). We investigate the shapes of the density and hazard rate function. We derive explicit expressions for some of its mathematical quantities. Various statistical properties like stochastic ordering, moment method, maximum likelihood estimation, entropies and limiting distribution of extreme order statistics are established. We prove the flexibility of the new family by means of applications to several real data sets.

Suggested Citation

  • Bouchahed Lahsen & Zeghdoudi Halim, 2018. "A New And Unified Approach In Generalizing The Lindley’S Distribution With Applications," Statistics in Transition New Series, Polish Statistical Association, vol. 19(1), pages 61-74, March.
    • Handle: RePEc:vrs:stintr:v:19:y:2018:i:1:p:61-74:n:9
    DOI: 10.21307/stattrans-2018-004
    as

    Download full text from publisher

    File URL: https://doi.org/10.21307/stattrans-2018-004
    Download Restriction: no
    File URL: https://libkey.io/10.21307/stattrans-2018-004?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. Rama Shanker, 2016. "Sujatha Distribution And Its Applications," Statistics in Transition New Series, Polish Statistical Association, vol. 17(3), pages 391-410, September.
    2. Hassan Bakouch, 2013. "R for statistics," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(4), pages 924-924.
    3. R. Shanker, 2016. "Sujatha Distribution and its Applications," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 17(3), pages 391-410, September.
    4. Ghitany, M.E. & Al-Mutairi, D.K. & Nadarajah, S., 2008. "Zero-truncated Poisson–Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 279-287.
    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. Lahsen Bouchahed & Halim Zeghdoudi, 2018. "A New And Unified Approach In Generalizing The Lindley’S Distribution With Applications," Statistics in Transition New Series, Polish Statistical Association, vol. 19(1), pages 61-74, March.
    2. Tharshan Ramajeyam & Wijekoon Pushpakanthie, 2022. "Zero-modified Poisson-Modification of Quasi Lindley distribution and its application," Statistics in Transition New Series, Polish Statistical Association, vol. 23(4), pages 113-128, December.
    3. Friday Ikechukwu Agu & Joseph Thomas Eghwerido, 2021. "Agu-Eghwerido distribution, regression model and applications," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 59-76, December.
    4. Devendra Kumar & Anju Goyal, 2019. "Generalized Lindley Distribution Based on Order Statistics and Associated Inference with Application," Annals of Data Science, Springer, vol. 6(4), pages 707-736, December.
    5. Agu Friday Ikechukwu & Eghwerido Joseph Thomas, 2021. "Agu-Eghwerido distribution, regression model and applications," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 59-76, December.
    6. Zeghdoudi Halim & Nouara Lazri & Yahia Djabrane, 2018. "Lindley Pareto Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 19(4), pages 671-692, December.
    7. Sanku Dey & Indranil Ghosh & Devendra Kumar, 2019. "Alpha-Power Transformed Lindley Distribution: Properties and Associated Inference with Application to Earthquake Data," Annals of Data Science, Springer, vol. 6(4), pages 623-650, December.
    8. Halim Zeghdoudi & Lazri Nouara & Djabrane Yahia, 2018. "Lindley Pareto Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 19(4), pages 671-692, December.
    9. Devendra Kumar & Anju Goyal, 2019. "Order Statistics from the Power Lindley Distribution and Associated Inference with Application," Annals of Data Science, Springer, vol. 6(1), pages 153-177, March.
    10. 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.
    11. Hurairah Ahmed & Alabid Abdelhakim, 2020. "Beta transmuted Lomax distribution with applications," Statistics in Transition New Series, Polish Statistical Association, vol. 21(2), pages 13-34, June.
    12. Tzong-Ru Tsai & Yuhlong Lio & Jyun-You Chiang & Yi-Jia Huang, 2022. "A New Process Performance Index for the Weibull Distribution with a Type-I Hybrid Censoring Scheme," Mathematics, MDPI, vol. 10(21), pages 1-17, November.
    13. Cha, Ji Hwan, 2019. "Poisson Lindley process and its main properties," Statistics & Probability Letters, Elsevier, vol. 152(C), pages 74-81.
    14. Irshad M. R. & Maya R., 2018. "On A Less Cumbersome Method Of Estimation Of Parameters Of Lindley Distribution By Order Statistics," Statistics in Transition New Series, Polish Statistical Association, vol. 19(4), pages 597-620, December.
    15. Mario A. Rojas & Yuri A. Iriarte, 2022. "A Lindley-Type Distribution for Modeling High-Kurtosis Data," Mathematics, MDPI, vol. 10(13), pages 1-19, June.
    16. Yaoting Yang & Weizhong Tian & Tingting Tong, 2021. "Generalized Mixtures of Exponential Distribution and Associated Inference," Mathematics, MDPI, vol. 9(12), pages 1-22, June.
    17. Dar Showkat Ahmad & Hassan Anwar & Ahmad Peer Bilal & Wani Sameer Ahmad, 2021. "A new count data model applied in the analysis of vaccine adverse events and insurance claims," Statistics in Transition New Series, Polish Statistical Association, vol. 22(3), pages 157-174, September.
    18. Mehdi Jabbari Nooghabi, 2021. "Comparing estimation of the parameters of distribution of the root density of plants in the presence of outliers," Environmetrics, John Wiley & Sons, Ltd., vol. 32(5), August.
    19. 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.
    20. Ahlam H. Tolba & Chrisogonus K. Onyekwere & Ahmed R. El-Saeed & Najwan Alsadat & Hanan Alohali & Okechukwu J. Obulezi, 2023. "A New Distribution for Modeling Data with Increasing Hazard Rate: A Case of COVID-19 Pandemic and Vinyl Chloride Data," Sustainability, MDPI, vol. 15(17), pages 1-31, August.

    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:19:y:2018:i:1:p:61-74:n:9. 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.