Length-Biased Weighted Lomax Distribution: Statistical Properties and Application

被引：0
|
作者：
Ahmad, Afaq [1 ]
Ahmad, S. P. [1 ]
Ahmed, A. [2 ]
机构：
[1] Univ Kashmir, Dept Stat, Srinagar 190006, Jammu & Kashmir, India
[2] Aligarh Muslim Univ, Dept Stat & Operat Res, Aligarh 202001, Uttar Pradesh, India
来源：
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2016年 / 12卷 / 02期
关键词：
Weighted distribution; Lomax distribution; Reliability Analysis; Maximum likelihood estimation; Order statistics; Real life data;
D O I：
暂无
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The concept of length-biased distribution can be employed in development of proper models for lifetime data. Length-biased distribution is a special case of the more general form known as weighted distribution. In this paper we introduce a new class of length-biased weighted Lomax distribution, (LBWLD). The statistical properties of this distribution are derived and the model parameters are estimated by maximum likelihood estimation and the observed information matrix is determined. An application to real data set is finally presented for illustration.
引用
收藏
页码：245 / 255
页数：11
相关论文
共 50 条
  • [1] Attribute Control Charts Based on TLT for Length-Biased Weighted Lomax Distribution
    Gadde, Srinivasa Rao
    Al-Omari, Amer Ibrahim
    [J]. JOURNAL OF MATHEMATICS, 2022, 2022
  • [2] Acceptance Sampling Plans with Truncated Life Tests for the Length-Biased Weighted Lomax Distribution
    Al-Omari, Amer Ibrahim
    Almanjahie, Ibrahim M.
    Kravchuk, Olena
    [J]. CMC-COMPUTERS MATERIALS & CONTINUA, 2021, 67 (01): : 285 - 301
  • [3] Length-biased Weighted Maxwell Distribution
    Modi, Kanak
    Gill, Vinod
    [J]. PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2015, 11 (04) : 465 - 472
  • [4] Power length-biased Suja distribution: properties and application
    Al-Omari, Amer, I
    Alhyasat, Khaldoon M.
    Ibrahim, Kamarulzaman
    Abu Bakar, Mohd Aftar
    [J]. ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS, 2019, 12 (02) : 429 - 452
  • [5] The Length-Biased Weighted Lindley Distribution with Applications
    Yupapin Atikankul
    Ampai Thongteeraparp
    Winai Bodhisuwan
    A. Volodin
    [J]. Lobachevskii Journal of Mathematics, 2020, 41 : 308 - 319
  • [6] The Length-Biased Weighted Lindley Distribution with Applications
    Atikankul, Yupapin
    Thongteeraparp, Ampai
    Bodhisuwan, Winai
    Volodin, A.
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2020, 41 (03) : 308 - 319
  • [7] Truncated Length-Biased Power Garima Distribution: Properties and Application
    Sottiwan, Tipat
    Sangpoom, Suttida
    Aryuyuen, Sirinapa
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (09) : 2599 - 2610
  • [8] Truncated Length-Biased Power Garima Distribution: Properties and Application
    Tipat Sottiwan
    Suttida Sangpoom
    Sirinapa Aryuyuen
    [J]. Lobachevskii Journal of Mathematics, 2022, 43 : 2599 - 2610
  • [9] The length-biased weighted exponentiated inverted Weibull distribution
    Saghir, Aamir
    Tazeem, Sadaf
    Ahmad, Ishfaq
    [J]. COGENT MATHEMATICS, 2016, 3
  • [10] The Maxwell length-biased distribution: Properties and estimation
    Saghir A.
    Khadim A.
    Lin Z.
    [J]. Journal of Statistical Theory and Practice, 2017, 11 (1) : 26 - 40
12345