Order Statistics of Generalized Topp-Leone Distribution with Application to Tissue Damage Proportions in Blood

被引：0
作者：
Devendra, Kumar [1 ]
Liang, Wang [2 ]
Sanku, Dey [3 ]
机构：
[1] Cent Univ Haryana, Dept Stat, Jant, Haryana, India
[2] Yunnan Normal Univ, Sch Math, Kunming, Yunnan, Peoples R China
[3] St Anthonys Coll, Dept Stat, Shillong, Meghalaya, India
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 09期
基金：
中国国家自然科学基金;
关键词：
generalized Topp-Leone distribution; order statistics; moments; maximum likelihood estimation; UMVUE; LINDLEY DISTRIBUTION; MOMENTS; MODEL;
D O I：
10.1134/S199508022309007X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Order statistic plays an important role in statistical theoretical and practical problems. In this paper, we derive algebraic expressions for both single and product moments of order statistics from generalized Topp-Leone (GTL) distribution. These expressions will be useful for computational purposes. Further, based on order statistics, we have obtained maximum likelihood estimators of the model parameters and uniformly minimum variance unbiased estimator for the model parameters of the GTL distribution. Finally, based on order statistics, Monte Carlo simulation study has been carried out to compare the performances of the proposed methods in terms of bias and mean square error, and a real life data set has been analyzed for illustrative purposes.
引用
收藏
页码：3673 / 3689
页数：17
相关论文
共 39 条
  • [1] Arnold B.C., 1998, RECORDS
  • [2] A notable bounded probability distribution for environmental and lifetime data
    Bakouch, Hassan S.
    Hussain, Tassaddaq
    Chesneau, Christophe
    Jonas, Tamas
    [J]. EARTH SCIENCE INFORMATICS, 2022, 15 (03) : 1607 - 1620
  • [3] Balakrishnan N., 2006, Advances in Distribution Theory, Order Statistics, and Inference, DOI [10.1007/0-8176-4487-3, DOI 10.1007/0-8176-4487-3]
  • [4] Balakrishnan N., 1998, HDB STAT, V17
  • [5] Some New Facts about the Unit-Rayleigh Distribution with Applications
    Bantan, Rashad A. R.
    Chesneau, Christophe
    Jamal, Farrukh
    Elgarhy, Mohammed
    Tahir, Muhammad H.
    Ali, Aqib
    Zubair, Muhammad
    Anam, Sania
    [J]. MATHEMATICS, 2020, 8 (11) : 1 - 23
  • [6] Barndorff-Nielsen O. E., 1994, Inference and asymptotics, DOI [10.1007/978-1-4899-3210-5, DOI 10.1007/978-1-4899-3210-5]
  • [7] David H A., 2003, Order Statistics, V1st, DOI [10.1002/0471722162, DOI 10.1002/0471722162]
  • [8] Moments of order statistics of Topp-Leone distribution
    Genc, Ali I.
    [J]. STATISTICAL PAPERS, 2012, 53 (01) : 117 - 131
  • [9] The unit-inverse Gaussian distribution: A new alternative to two-parameter distributions on the unit interval
    Ghitany, M. E.
    Mazucheli, J.
    Menezes, A. F. B.
    Alqallaf, F.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (14) : 3423 - 3438
  • [10] On some reliability measures and their stochastic orderings for the Topp-Leone distribution
    Ghitany, ME
    Kotz, S
    Xie, M
    [J]. JOURNAL OF APPLIED STATISTICS, 2005, 32 (07) : 715 - 722
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