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Type II Half Logistic Exponential Distribution with Applications

Author

Listed:
  • M. Elgarhy

    (Jeddah University
    Cairo University)

  • Muhammad Ahsan Haq

    (University of the Punjab
    National College Arts)

  • Ismat Perveen

    (Bahauddin Zakariya University)

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.

Suggested Citation

  • M. Elgarhy & Muhammad Ahsan Haq & Ismat Perveen, 2019. "Type II Half Logistic Exponential Distribution with Applications," Annals of Data Science, Springer, vol. 6(2), pages 245-257, June.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:2:d:10.1007_s40745-018-0175-y
    DOI: 10.1007/s40745-018-0175-y
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    References listed on IDEAS

    as
    1. Nadarajah, Saralees & Kotz, Samuel, 2006. "The beta exponential distribution," Reliability Engineering and System Safety, Elsevier, vol. 91(6), pages 689-697.
    2. Miroslav Ristić & Debasis Kundu, 2015. "Marshall-Olkin generalized exponential distribution," METRON, Springer;Sapienza Università di Roma, vol. 73(3), pages 317-333, December.
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    Cited by:

    1. Tapan Kumar Chakrabarty & Dreamlee Sharma, 2021. "A Generalization of the Quantile-Based Flattened Logistic Distribution," Annals of Data Science, Springer, vol. 8(3), pages 603-627, September.
    2. Rashad Bantan & Mahmoud Elsehetry & Amal S. Hassan & Mohammed Elgarhy & Dreamlee Sharma & Christophe Chesneau & Farrukh Jamal, 2021. "A Two-Parameter Model: Properties and Estimation under Ranked Sampling," Mathematics, MDPI, vol. 9(11), pages 1-16, May.
    3. Junrui Wang & Rongfang Yan & Bin Lu, 2020. "Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components," Mathematics, MDPI, vol. 8(4), pages 1-18, March.
    4. Broderick Oluyede & Thatayaone Moakofi, 2023. "The Gamma-Topp-Leone-Type II-Exponentiated Half Logistic-G Family of Distributions with Applications," Stats, MDPI, vol. 6(2), pages 1-28, June.

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