Inferences for Modified Lindley Distribution Under Order Statistics with Applications

被引：0
|
作者：
Goyal, A. [1 ]
Kumar, D. [2 ]
Joorel, J. P. S. [3 ]
Kumar, M. [4 ]
机构：
[1] Panjab Univ, Dept Stat, Chandigarh, India
[2] Univ Delhi, Fac Math Sci, Dept Stat, Delhi, India
[3] Univ Jammu, Dept Stat, Jammu, India
[4] Cent Univ Haryana, Dept Stat, Jaat, Haryana, India
来源：
STRENGTH OF MATERIALS | 2024年 / 56卷 / 04期
关键词：
modified Lindley distribution; moments; order statistics; maximum likelihood estimator; best linear unbiased estimates; MOMENTS;
D O I：
10.1007/s11223-024-00692-y
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
In this study, we obtain relations for the moments of order statistics from the modified Lindley distribution without any restriction for the parameter. In addition, we use these moments to obtain the mean, variances, and covariances of order statistics from the modified Lindley distribution. In particular, we compare, through simulation study, the performance of the maximum likelihood estimation, ordinary and weighted least-squares estimation, percentile estimators, and Cram & eacute;r-von Mises estimators. Finally, we apply the paper's findings to some real data sets.
引用
收藏
页码：796 / 814
页数：19
相关论文
共 50 条
  • [41] The Lindley Weibull Distribution: properties and applications
    Cordeiro, Gauss M.
    Afify, Ahmed Z.
    Yousof, Haitham M.
    Cakmakyapan, Selen
    Ozel, Gamze
    ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 2018, 90 (03): : 2579 - 2598
  • [42] The discrete Lindley distribution: properties and applications
    Gomez-Deniz, Emilio
    Calderin-Ojeda, Enrique
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2011, 81 (11) : 1405 - 1416
  • [43] The Exponentiated Lindley Geometric Distribution with Applications
    Peng, Bo
    Xu, Zhengqiu
    Wang, Min
    ENTROPY, 2019, 21 (05)
  • [44] An extension of the discrete Lindley distribution with applications
    Calderin-Ojeda, E.
    Gomez-Deniz, E.
    JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2013, 42 (03) : 371 - 373
  • [45] The Truncated Lindley Distribution with Applications in Astrophysics
    Zaninetti, Lorenzo
    GALAXIES, 2019, 7 (02):
  • [46] Sine Power Lindley Distribution with Applications
    Almarashi, Abdullah M.
    INTELLIGENT AUTOMATION AND SOFT COMPUTING, 2022, 31 (01): : 373 - 386
  • [47] An extension of the discrete Lindley distribution with applications
    E. Calderín-Ojeda
    E. Gómez-Déniz
    Journal of the Korean Statistical Society, 2013, 42 : 371 - 373
  • [48] An identity for the joint distribution of order statistics and its applications
    Balasubramanian, K
    Beg, MI
    Bapat, RB
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1996, 55 (01) : 13 - 21
  • [49] Order statistics for negative exponential distribution and its applications
    Meng, XW
    Guan, J
    Wang, XZ
    PROCEEDINGS OF 2003 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS & SIGNAL PROCESSING, PROCEEDINGS, VOLS 1 AND 2, 2003, : 720 - 722
  • [50] Order statistics from the generalized exponential distribution and applications
    Sultan, Khalaf S.
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (07) : 1409 - 1418
12345