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On some properties of Kies distribution

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  • C. Satheesh Kumar
  • S. Dharmaja

Abstract

In this paper we study some important aspects of the Kies distribution by deriving expressions for its percentile measures, raw moments, reliability measures etc. The maximum likelihood estimation of the parameters of the distribution have been discussed and the distribution has been fitted to certain real life data sets. The asymptotic behaviour of maximum likelihood estimators are also studied by using simulated data sets. Copyright Sapienza Università di Roma 2014

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  • C. Satheesh Kumar & S. Dharmaja, 2014. "On some properties of Kies distribution," METRON, Springer;Sapienza Università di Roma, vol. 72(1), pages 97-122, April.
    • Handle: RePEc:spr:metron:v:72:y:2014:i:1:p:97-122
    DOI: 10.1007/s40300-013-0018-8
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    References listed on IDEAS

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    4. Lemonte, Artur J., 2013. "A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function," Computational Statistics & Data Analysis, Elsevier, vol. 62(C), pages 149-170.
    5. Schmid, Friedrich & Trede, Mark, 2003. "Simple tests for peakedness, fat tails and leptokurtosis based on quantiles," Computational Statistics & Data Analysis, Elsevier, vol. 43(1), pages 1-12, May.
    6. William J. Reed, 2011. "A flexible parametric survival model which allows a bathtub-shaped hazard rate function," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(8), pages 1665-1680, August.
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    Cited by:

    1. Prakash Chandra & Yogesh Mani Tripathi & Liang Wang & Chandrakant Lodhi, 2023. "Estimation for Kies distribution with generalized progressive hybrid censoring under partially observed competing risks model," Journal of Risk and Reliability, , vol. 237(6), pages 1048-1072, December.
    2. Mansour Shrahili & Naif Alotaibi & Devendra Kumar & Salem A. Alyami, 2020. "Inference for the Two Parameter Reduced Kies Distribution under Progressive Type-II Censoring," Mathematics, MDPI, vol. 8(11), pages 1-20, November.
    3. Al-Olaimat Nesreen M. & Bayoud Husam A. & Raqab Mohammad Z., 2021. "Record data from Kies distribution and related statistical inferences," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 153-170, December.
    4. Nesreen M. Al-Olaimat & Husam A. Bayoud & Mohammad Z. Raqab, 2021. "Record data from Kies distribution and related statistical inferences," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 153-170, December.

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