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Type II Half Logistic Exponential Distribution with Applications

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Abstract

We defined and studied and inventive distribution called Type II half logistic exponential (TIIHLE) distribution. Some well-known mathematical properties; moments, probability weighted moments, mean deviation, quantile function, Renyi entropy of TIIHLE distribution are investigated. The expressions of order statistics are derived. Parameters of the derived distribution are obtained using maximum likelihood method. The importance of proposed distribution is exemplified by two datasets.

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Authors and Affiliations

  1. Graduate Studies and Scientific Research, Jeddah University, Jeddah, Kingdom of Saudi Arabia

    M. Elgarhy

  2. Department of Mathematical Statistics, Institute of Statistical Studies and Research (ISSR), Cairo University, Giza, Egypt

    M. Elgarhy

  3. College of Statistical and Actuarial Sciences, University of the Punjab, Lahore, Pakistan

    Muhammad Ahsan ul Haq

  4. Quality Enhancement Cell (QEC), National College Arts, Lahore, Pakistan

    Muhammad Ahsan ul Haq

  5. Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan

    Ismat Perveen

Authors
  1. M. Elgarhy
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  2. Muhammad Ahsan ul Haq
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  3. Ismat Perveen
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Correspondence to Muhammad Ahsan ul Haq.

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Elgarhy, M., ul Haq, M.A. & Perveen, I. Type II Half Logistic Exponential Distribution with Applications. Ann. Data. Sci. 6, 245–257 (2019). https://doi.org/10.1007/s40745-018-0175-y

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  • DOI: https://doi.org/10.1007/s40745-018-0175-y

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